Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.22.
Which of the following is a type I​ error?
A. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29
B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29
C. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29
D. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29

Answers

Answer 1

Answer:

Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

Step-by-step explanation:

We are given the following hypothesis below;

Let p = proportion of people who write with their left hand

So, Null Hypothesis, [tex]H_0[/tex] : p = 0.22     {means that the proportion of people who write with their left hand is equal to 0.22}

Alternate Hypothesis, [tex]H_A[/tex] : p [tex]\neq[/tex] 0.22      {means that the proportion of people who write with their left hand is different from 0.22}

Now, Type I error states that we conclude that the null hypothesis is rejected when in fact the null hypothesis was actually true. Or in other words, it is the probability of rejecting a true hypothesis.

So, in our question; Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error states that we conclude that the null hypothesis is accepted when in fact the null hypothesis was actually false. Or in other words, it is the probability of accepting a false hypothesis.

So, in our question; Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.


Related Questions

Discuss the validity of the following statement. If the statement is always​ true, explain why. If​ not, give a counterexample. If the 2 times 2 matrix P is the transition matrix for a regular Markov​ chain, then, at​ most, one of the entries of P is equal to 0. Choose the correct answer below. A. This is false. In order for P to be​ regular, the entries of​ P^k must be​ non-negative for some value of k. For​ k=1 the matrix Start 2 By 2 Table 1st Row 1st Column 0 2nd Column 1 2nd Row 1st Column 0 2nd Column 1 EndTable has​ non-negative entries and has two zero entries.​ Thus, it is a regular transition matrix with more than one entry equal to 0. B. This is true. If there is more than one entry equal to​ 0, then the number of entries equal to zero will increase as the power of P increases. C. This is true. If there is more than one entry equal to​ 0, all powers of P will contain 0 entries.​ Hence, there is no power k for which Upper P Superscript k contains all positive entries. That​ is, P will not satisfy the definition of a regular matrix if it has more than one 0. D. This is false. The matrix P must be​ regular, which means that P can only contain positive entries. Since zero is not a positive​ number, there cannot be any entries that equal 0.

Answers

Answer:

C. This is true. If there is more than one entry equal to​ 0, all powers of P will contain 0 entries.​ Hence, there is no power k for which Upper P Superscript k contains all positive entries. That​ is, P will not satisfy the definition of a regular matrix if it has more than one 0

Step-by-step explanation:

The correct option is C as it represents that by considering a matrix P that involves more than one zero and at the same time the powers for all P has received minimum one zero or it included at least one zero

Therefore the statement C verified and hence it is to be considered to be valid

Hence, all the other statements are incorrect

your marksmanship score are 6 and 10 on two test . if you want average 9 on the tests , waht must your third score be?

Answers

Answer:

11

Step-by-step explanation:

To do this you would just multiply 9 by 3 so you get 27 and subtract 6+10 which is 16 from it and then you will get 11 and that is what you will need for your third score

The third score which must be added is 11.

What are average?

The average can be calculated by dividing the sum of observations by the number of observations.

Average = Sum of observations/the number of observations

Given; count = 3 (there are three trials)

average = 9

9 = sum / 3

The sum = first score + second score + third score

The sum   =  6 + 10 + third score

9 = (6+10+third score)/3

Then multiply both sides by 3 to remove the denominator

27 = 6 + 10 + third score

27 = 16 + third score

Now, subtract 16 from both sides to isolate the third score

11 = third score

Hence, the third score which must be added is 11.

Learn more about average here;

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In​ 2005, there were 14,100 students at college​ A, with a projected enrollment increase of 750 students per year. In the same​ year, there were 42,100 students at college​ B, with a projected enrollment decline of 1250 students per year. According to these​ projections, when will the colleges have the same​ enrollment? What will be the enrollment in each college at that​ time?

Answers

Set up two equations and set equal to each other. Let number of years = x:

College A = 14100+750x

College B = 42100-1250x

Set equal:

14100 + 750x = 42100 - 1250x

Subtract 750x from both sides:

14100 = 42100 - 2000x

Subtract 42100 from both sides:

-28000 = -2000x

Divide both sides by -2000:

x = -28000 / -2000

x = 14

It will take 14 years for the schools to have the same enrollment.

Enrollment will be:

14100 + 750(14) = 14100 + 10500 = 24,600

Answer:

(a)2019 (14 years after)

(b)24,600

Step-by-step explanation:

Let the number of years =n

College A

Initial Population in 2005 = 14,100

Increase per year = 750

Therefore, the population after n years = 14,100+750n

College B

Initial Population in 2005 = 42,100

Decline per year = 1250

Therefore, the population after n years = 42,100-1250n

When the enrollments are the same

14,100+750n=42,100-1250n

1250n+750n=42100-14100

2000n=28000

n=14

Therefore, in 2019 (14 years after), the colleges will have the same​ enrollment.

Enrollment in 2019 =42,100-1250(14)

=24,600

[tex]The sum of two numbers is57 and the difference is3 . What are the numbers?[/tex]

Answers

Answer:

The numbers are 27 and 30

Step-by-step explanation:

The two numbers are x and y

x+y = 57

x-y = 3

Add the two equations together to eliminate y

x+y = 57

x-y = 3

---------------

2x = 60

Divide by 2

2x/2 = 60/2

x = 30

x+y = 57

30 + y = 57

y = 57-30

y = 27

The numbers are 27 and 30

The sum of two numbers is 57, and the difference is 3.

Give each number a variable (as you do not know what they are): x , y

Set the equations:

"The sum of two numbers is 57": x + y = 57

"The(re) difference is 3": x - y = 3

Isolate one of the variables in the second equation. Add y to both sides:

x - y (+y) = 3 + y

x = 3 + y

Plug in "3 + y" for x in the first equation:

3 + y + y = 57

Simplify. First, combine like terms:

3 + (y + y) = 57

3 + 2y = 57

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS*.

*PEMDAS is the order of operation.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 3 from both sides:

2y + 3 = 57

2y + 3 (-3) = 57 (-3)

2y = 57 - 3

2y = 54

Next, divide 2 from both sides:

(2y)/2 = (54)/2

y = 54/2

y = 27

Plug in 27 for y in one of the equations:

x = 3 + y

x = 3 + (27)

x = 3 + 27

x = 30

x = 30 , y = 27 is your answer.

~

Check:

"The sum of two numbers is 57": x + y = 57

30 + 27 = 57

57 = 57 (True)

"The(re) difference is 3": x - y = 3

30 - 27 = 3

3 = 3 (True)

find the area of the circle in terms of π
diameter of the circle: 6.3 ft​

Answers

Answer:

9.9225π feet.

Step-by-step explanation:

The area of a circle is pi * r^2.

The diameter is 2r. 2r = 6.3; r = 6.3 / 2 = 3.15.

pi * 3.15^2 = pi * 9.9225

9.9225π feet is your answer.

Hope this helps!

Answer:

Given that

diameter of circle=6.3ft=192.02cm

radius of circle=d/2=192.02/2=96.01cm

So, area of circle=πr2

= π×(96.01)^2

= 9217.92π cm^2

hope it helps u....

plz mark as brainliest...

Sophia gets a CD for $5000 for 5 years at 5.25% compounded quarterly. What’s the balance after 5 years.

Answers

Answer:

Balance in 5 years =  6489.79  (to the nearest $0.01)

Step-by-step explanation:

Future value

FP = P(1+i)^n

P=initial deposit=5000

i = interest per period=5.25/4

n = number of periods=4*5=20

FP

= P(1+i)^n

= 5000( 1 + 0.0525/4 )^20

= 5000*1.297958012811783

= 6489.79  (to the nearest $0.01)

In the year 2000, the population of Mexico was about 100 million, and it was growing by 1.53% per year. At this growth rate, the function f(x) = 100(1.0153)x gives the population, in millions, x years after 2000. Using this model, in what year would the population reach 111 million? Round your answer to the nearest year.

Answers

Answer: The population reach 111 million in 2007.

Step-by-step explanation:

In the year 2000, the population of Mexico was about 100 million, and it was growing by 1.53% per year.

At this growth rate, the function [tex]f(x) = 100(1.0153)^x[/tex] gives the population, in millions, x years after 2000.

Put f(x)=111 million.

Then,

[tex]111=100(1.0153)^x\\\\\Rightarrow\ (1.0153)^x=\dfrac{111}{100}=1.11\\\\\Rightarrow (1.0153)^x=1.11[/tex]

Taking log on both the sides , we get

[tex]x\log1.0153=\log1.11\\\\\Rightarrow\ x=\dfrac{\log1.11}{\log1.0153}=\dfrac{0.045323}{0.0066}=6.86712121212\approx7[/tex]

Hence, the population reach 111 million in 2007 (approx).

Suppose that any baseball that has a coefficient of restitution that exceeds 0.625 is considered too lively. Based on the available data, what proportion of the baseballs in the sampled population are too lively

Answers

Answer:

hello some parts of your question is missing attached below is the missing parts of the question

Answer : The proportion of the baseballs in the sampled population that are too lively

P = x / n = 18 / 40 = 0.450

Step-by-step explanation:

coefficient of restitution > 0.625

Based on available data the proportion of the baseballs that is in the sampled population that are too lively can be calculated using the values below

n = 40

x = n ( p > 0.625 ) = 18

The proportion of the baseballs in the sampled population that are too lively

P = x / n = 18 / 40 = 0.450

In an ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even. (Round your answer to four decimal places.) (a) What is the probability that a subject would guess exactly 18 correct in a series of 36 trials

Answers

Answer: The answer is 0.1350

Step-by-step explanation:

Given data

n=36

p=1/2

q=1/2

X=18

O=3

U = 18

a. With n = 36 and p = q = 1/2, you may use the normal approximation with µ = 18 and o = 3. X = 18 has real limits of 17.5 and 18.5 corresponding to z = -0.17 and z = +0.17. p = 0.1350.

The probability that a subject would guess exactly 18 correct in a series of 36 trials is 0.1350.

Given that,

ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even.

We have to determine,

What is the probability that a subject would guess exactly 18 correct in a series of 36 trials?

According to the question,

Number of trials n = 36

The probability must per whether a number randomly generated by a computer will be odd is 1/2 or even is 1/2.

By using the normal approximation,

[tex]\mu = 18 \ and \ \sigma = 3[/tex]

Therefore,

X = 18 has real limits of 17.5 and 18.5 corresponding to z = -0.17 and z = +0.17.

p = 0.1350

Hence, the probability that a subject would guess exactly 18 correct in a series of 36 trials is 0.1350.

To know more about Probability click the link given below.

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a student took a test that had 60 questions.if he got 45 right,what percentage of the question did he get right?

Answers

Answer:

25 %

is your answer

follow me plzzz

y (10) = -7.5*² (101² + 113x + 1652

Answers

Answer: What is the question to this?

Step-by-step explanation: thank you have a good day yup yup

Solve for x: 125^(3x+7)=25^(5x−11)

Answers

Answer:

x = 43

Step-by-step explanation:

125^(3x+7)=25^(5x−11)

Rewriting the bases as powers of 5

125 = 5^3  and 25 = 5^2

5^3 ^ (3x+7) = 5^2^(5x-11)

We know a^b^c = a^ (b*c)

5^(3 * (3x+7)) = 5^(2*(5x-11))

Distribute

5^(9x+21) = 5^(10x-22)

The bases are the same so the exponents are the same

9x+21 = 10x-22

Subtract 9x from each side

9x+21 -9x = 10x-9x-22

21 = x-22

Add 22 to each side

21+22 = x-22+22

43 = x

Explain how estimating the quotient helps you place the first
digit in the quotient of a division problem.

Answers

Step-by-step explanation:

look at the picture and if you still need help let me know or if this doenst help then well im sorry lol

Cirlce B is given the equation, (x-2)^2 + (y-9)^2 = 25. What are the coordinates of the center and the length of the radius?

Answers

Answer:

The answer to your question is   Center = (2, 9) Radius = 5 units

Step-by-step explanation:

Data

         (x - 2)² + (y - 9)² = 25

Process

1.- Determine the coordinates of the circle.

The coordinates are the numbers after the x and y just change the signs.

    h = 2   and k = 9

Then the coordinates are (2, 9)

2.- The length of the radius is the square root of the number after the equal sign.

          radius = [tex]\sqrt{25}[/tex]

         radius = 5 units

helppppppppp pleaseeeeeeeeeeeeeeeeeeeee

Answers

Answer:

3

Step-by-step explanation:

1/4 < 3/4

The lines are split into 4 parts

Point A is at 1/4 and Point B is at 3/4

A is less than B

Answer:

if im correct there should be three answers which are 1,2, and 3

Step-by-step explanation:

each line plot of 1, 2, and 3 show that point A is 1/4 and point B is 3/4 meaning point A is less than point B even though in 1, and 2 the line plot for point B is shorter it still shows the same thing 1/4<3/4


A student bought a sandwich for 80 cents, milk for 20 cents, and pie for 30 cents. How much did the
meal cost?
A $1.00
B
$1.20
C$1.30
D $1.40
E $1.60

Answers

Answer:

The correct answer is C. The meal costed $1.30.

Step-by-step explanation:

Since the student bought his sandwich for 80 cents, his milk for 20 cents and his cake for 30 cents, to determine the total amount to pay we must add these values. Thus 80 + 20 + 30 gives a total of 130 cents. In this regard, the American monetary system establishes that 100 cents are equal to one dollar, with which the 130 cents would become 1 dollar with 30 cents, that is, $ 1.30.

Write the equation of a line through the given point with the given slope (0,6);m undefined

Answers

Answer:

x=0

Step-by-step explanation:

If the slope is undefined, the line is vertical

vertical lines are of the form

x =

Since the point is (0,6)

x=0

(2/5) URGENT PLEASE HELP!!! -50 POINTS- & WILL MARK BRAINLIEST AND RATE 5 IF CORRECT. please dont answer random things just for the points.

Answers

Answer:

(A) As x -> -inf, y->-inf, and as x->inf, y->inf.

Step-by-step explanation:

All polynomial, of odd degree have extremities must point in opposite directions (one each of + and - infinity)

All even degree polynomials have extremities in the same direction, i.e. both towards +inf, or both towards -inf.

Since this is a cubic, so the extremities must point in opposite directions, so options B and D cannot apply.

Next, when the leading coefficient, the coefficient of ther term of the highest degree, namely 5x^3, positive, the graph will approach +infinity in the positive direction (and approach -infinity in the negative direction).

This eliminates option (C), and we see that option (A) satisfies all conditions.

When the leading coefficient is negative, it works the other way round.

Answer:

As x goes to -∞ y goes to -∞

As x goes to ∞ y goes to ∞

Step-by-step explanation:

We need to look at the dominate term

5x^3

As x goes to -∞

y  goes to 5 ( -∞)^3 = -∞

As x goes to -∞ y goes to -∞

As x goes to ∞

y  goes to 5 ( ∞)^3 = ∞

As x goes to ∞ y goes to ∞

What is the solution to the equation below? Round your answer to two decimal places. In x=0.3

Answers

Step-by-step explanation:

Since you are given the values there is no need to try another method then replacing x by the values

We can eliminate the negative values since you'll face math errors We have two remaining values 2 and 1.35

㏑(2)= 0.69

㏑(1.35) = 0.3

so the right answer is D

A dollar bill weighs one gram. How many pounds do one million dollar bills weigh? (1000 grams
is equal to 1 kilogram and 1 kilogram is equal to about 2.205 pounds.)

Answers

Hey there! I'm happy to help!

First of all, if one bill weighs on gram, a million would weigh one million grams. Let's divide this by 1,000 to see how many kilograms it is.

1,000,000/1,000=1,000

Now, we need to convert 1,000 kilograms into pounds. We see that 1 kilogram is equal to about 2.205 pounds, so we multiply 1,000 kilograms by 2.205 to get our pounds.

1,000*2.205=2205

Therefore, one million dollar bills weigh about 2205 pounds.

Have a wonderful day! :D

Four buses carrying 198 students from the same school arrive at a football stadium. The buses carry, respectively 90, 33, 25, and 50 students. One of the students is randomly selected. Let X denote the number of students who were on the bus carrying the randomly selected student. One of the four bus drivers is also randomly selected. Let Y denote the number of students on her bus. a) Which of E[X] or E[Y] do you think is larger

Answers

Answer:

E[x] is larger

Step-by-step explanation:

I think E[x] is larger because the expected number of students on the bus of a randomly chosen student is larger.

This is because the higher the number of students present in a bus, the higher the probability that a randomly selected student would have been on that bus.

Whereas, for every driver to be chosen, the probability of any bus being chosen is 1/4 irrespective of the number of students in that particular bus

If m
X=49, y=41

X=90, y= 49

X=41, y =49

X=90, y=41

Answers

Answer:

x=90 degrees and y=41 degrees.

Step-by-step explanation:

In the diagram

[tex]AB=AC\\$Therefore \triangle ABC$ is an isosceles triangle[/tex]

[tex]m\angle C=49^\circ[/tex]

Since ABC is Isosceles

[tex]m\angle B=m\angle C=49^\circ $ (Base angles of an Isosceles Triangle)[/tex]

[tex]m\angle A+m\angle B+m\angle C=180^\circ $ (Sum of angles in a Triangle)\\m\angle A+49^\circ+49^\circ=180^\circ\\m\angle A=180^\circ-(49^\circ+49^\circ)\\m\angle A=82^\circ[/tex]

[tex]m\angle x=90^\circ $(perpendicular bisector of the base of an isosceles triangle)[/tex]

[tex]m\angle y=m\angle A \div 2 $ (perpendicular bisector of the angle at A)\\m\angle y=82 \div 2\\m\angle y=41^\circ[/tex]

Therefore:

x=90 degrees and y=41 degrees.

Which point is a solution to the system of inequalities graphed here? y -5 x + 4 A. (1,6) B. (-6,0) C. (0,5) D. (5,0)

Answers

Answer:

D

Step-by-step explanation:

this is the only one inside the overlapping inequalitlies

Math problem help please

Answers

Answer:

No

Step-by-step explanation:

In exponential behavior each number increases by some some power in respect of previous number.

example

2,4,8,16

which is similar as 2 , 2^2,2^3,2^4

here it can be represented as y = 2^x

here we see that each number increases by power of 2, hence it shows exponential behavior.

____________________________________________

In the problem

(1,1), (2,2) ,(3,3), (4,4)

23 see that each number increases by one unit in respect of previous number

and also x is same as y

thus, it can be represented as

y = x which is linear behavior

hence , the given data set shows linear behavior rather than exponential behavior.

A plane's altitude is 2,400 feet. For the pilot, the angle of depression to the base of a control tower is
13°. What is the ground distance from the plane to the base of the control tower?
Round to the nearest foot.
feet

Answers

Answer:

Ground distance = 10396 feet  (nearest foot)

Step-by-step explanation:

The horizontal distance given the vertical is governed by the tangent of the angle of depression.

V/H = tan(angle of depression)

Hence

H = V / tan(angle of depression)

= 2400 / tan(13)

= 10395.5 feet

Scatter plot show which type of correlation

Answers

Answer:

It is a negative correlation

Step-by-step explanation:

As the x value increases the y value decreases. This causes it to be a negative.

3/4 (1/2x - 12) + 4/5 HELP

Answers

Answer:

3/8x - 9 4/5

Step-by-step explanation:

Well we need to simplify the following expression,

[tex]\frac{3}{4} (\frac{1}{2}x - 12) + \frac{4}{5}[/tex]

So we need to distribute 3/4 to (1/2x - 12)

3/8x - 9 + 4/5

3/8x - 9 4/5

Thus,

the answer is 3/8x - 9 4/5.

Hope this helps :)

express 3.222......in p/q form​

Answers

Answer:

3.22222......  = [tex]\frac{29}{9}[/tex]

Step-by-step explanation:

In this question we have to convert the number given in recurrent decimals into fraction.

Recurrent decimal number is 3.22222.......

Let x = 3.2222.........   -------(1)

Multiply this expression by 10.

10x = 32.2222........... -------(2)

Now subtract the expression (1) from (2),

10x = 32.22222.....

   x = 3.22222.......

9x = 29

x = [tex]\frac{29}{9}[/tex]

Therefore, recurrent decimal number can be written as [tex]\frac{29}{9}[/tex] which is in the form of [tex]\frac{p}{q}[/tex].

Each big square below represents one whole.

Answers

Answer:

145%

Step-by-step explanation:

Count up the squares

1 + 45/100

1.45

Change to percent by multiplying by 100

145%

Answer:

145

Step-by-step explanation:

The square on the left is one whole or 1 or 100%.

The square on the right has 45 blocks shaded out of 100 or 45/100 or 45%.

100% + 45% = 145%

Let f(x)=6x and g(x)=x+4 what’s the smallest number that’s in the domain of F(G)

Answers

Answer:

(-4) will be the smallest value.

Step-by-step explanation:

Two functions have been given in this question,

f(x) = [tex]\sqrt{6x}[/tex] and g(x) = x + 4

Then the composite function (fog)(x) will be,

(fog)(x) = f[g(x)]

f[g(x)] = [tex]\sqrt{6(x+4)}[/tex]

Since this function is defined for (x + 4) ≥ 0

(x + 4) - 4 ≥ 0 - 4

x ≥ -4

Domain of this function : [-4 ∞)

Therefore, the smallest number in the domain or smallest value for 'x' should be (-4).

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