Various studies indicate that approximately 11% of the world's population is left handed. You think this number is actually higher. You take an SRS of 225 people and find that 31 of them are left handed. Test your claim at the 5% significance level.
A. State your null and alternative hypotheses.
B. Sketch the rejection region.
C. Calculate the test statistic.
D. Determine the P-value for your test.
Answers
Answer:
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
d. z= 1.3322
Step-by-step explanation:
We formulate our hypothesis as
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
According to the given conditions
p`= 31/225= 0.1378
np`= 225 > 5
n q` = n (1-p`) = 225 ( 1- 31/225)= 193.995> 5
p = 0.4 x= 31 and n 225
c. Using the test statistic
z= p`- p / √pq/n
d. Putting the values
z= 0.1378- 0.11/ √0.11*0.89/225
z= 0.1378- 0.11/ √0.0979/225
z= 0.1378- 0.11/ 0.02085
z= 1.3322
at 5% significance level the z- value is ± 1.645 for one tailed test
The calculated value falls in the critical region so we reject our null hypothesis H0 : p ≤ 0.11 and accept Ha : p >0.11 and conclude that the data indicates that the 11% of the world's population is left-handed.
The rejection region is attached.
The P- value is calculated by finding the corresponding value of the probability of z from the z - table and subtracting it from 1.
which appears to be 0.95 and subtracting from 1 gives 0.04998
Related Questions
In the diagram what is the measure of WRS
Answers
Step-by-step explanation:
in the diagram what is the value of WRS
Identify the CRITICAL VALUES(S) used in a hypothesis test of the following claim and sample data:
Claim: "The proportion of defective tablets manufactured in this factory is less than 6%."
A random sample of 500 tablets from this factory is selected, and it is found that 20 of them were defective. Test the claim at the 0.05 significance level.
a. -1.883
b. -1.645
c. -1.96
d. -0.102
Answers
Answer:
-1.96
Step-by-step explanation:
Significance level or alpha level is the probability of rejecting the null hypothesis when null hypothesis is true. It is considered as a probability of making a wrong decision. It is a statistical test which determines probability of type I error. If the obtained probability is equal of less than critical probability value then reject the null hypothesis. In this question the sample of 500 defective tablets is under test. 20 tablets found to be defective so the null hypothesis is accepted as less than 6% of tablets are defective.
The population of Oak Forest is increasing at a rate of 4% per year. If the population is 74,145 today, what will it be in three years?
Answers
Answer:
83,403
Step-by-step explanation: Take 74,145 and multiply it by 4%. Then take that number and add it to the 74,145 and that'll give you year one. For year 2 you'll take your total from year 1 and multiply it by the 4% growth rate then you'll add the 4% to what your ending from year 1 and that'll give you your total growth after 2 years. Then you'll take your ending total from year 2 and multiply it by 4% and then you'll add that 4% to the total end from year 2 and that'll give you your total growth of 4% every year for 3 consecutive years.
Hope this helps!
Datguy323 is going to complain again. What's the variables for: [tex]x^2+y^2=29\\x+y=7[/tex]
y<4
Answers
Answer: :o I FINALLY MADE IT
(5, 2)
x = 5
y = 2
Step-by-step explanation:
First, I graphed both equations. They meet at the points (5,2) and (2,5). Because y < 5, the solution is (5, 2)
Hope it helps <3
Answer:
[tex]x=5\\y=2[/tex]
Step-by-step explanation:
[tex]x^2 +y^2 =29[/tex]
[tex]x+y=7[/tex]
Solve for x in the second equation.
[tex]x+y=7[/tex]
[tex]x+y-y=7-y[/tex]
[tex]x=7-y[/tex]
Plug in the value for x in the first equation and solve for y.
[tex](7-y)^2 +y^2 =29[/tex]
[tex]y^2-14y+49+y^2 =29[/tex]
[tex]2y^2-14y+20=0[/tex]
[tex]2(y-2)(y-5)=0[/tex]
[tex]2(y-2)=0\\y-2=0\\y=2[/tex]
[tex]y-5=0\\y=5[/tex]
[tex]y<4[/tex]
[tex]y=2[/tex]
[tex]y\neq 5[/tex]
Plug y as 2 in the second equation and solve for x.
[tex]x+y=7[/tex]
[tex]x=7-y[/tex]
[tex]x=7-2[/tex]
[tex]x=5[/tex]
Solve the system for x. x+y+z=5 2x-y-z=-2 2x=10
Answers
Answer:
x = 1.
Step-by-step explanation:
x + y + z = 5
2x - y - z = -2
3x = 3
x = 1
Hope this helps!
someone could help me?
Answers
Answer:
Step-by-step explanation:
From 6 to 9 is 3 units, the horizontal distance between C and D. From 4 to 5 is 1 unit, the vertical distance between C and D.
Using the Pythagorean Theorem (or the closely related distance formula), we find the distance between C and D as follows:
distance between C and D: sqrt(3^2 + 1^2) = sqrt(10)
What is the solution to the equation -0.2(x - 20) = 44 - x? x = -90 x = 50 x = -50 x = 90
Answers
Answer:
x= 50
Step-by-step explanation:
First, simplify the equation
Expand the terms on the left hand side to make it easier to rearrange
-0.2(x-20) =44-x
-0.2x+4 =44-x
Rearrange the equation by moving the numbers to one side and the variables to the other
-0.2x +x= 44-4
0.8x = 40
Isolate for x
x= 40/0.8
x= 50
please help it's Factorisation with Numbers
Answers
Answer:
C.
6a + 18x + 18p
Step-by-step explanation:
3(2a + 6 (x + p)) firs multiply (x + p) with 6
3 (2a + 6x + 6z) now multiply inside the parenthesis with 3 and the answer would be 6a + 18x + 18p
Fundamental Theorem of Algebra...
(x+7)^5
1. Using the Fundamental Theorem of Algebra explain how many roots your expression can have. How many real roots and how many complex roots are possible?
Answers
Answer:
A real root of fifth-grade multiplicity/No complex roots.
Step-by-step explanation:
The Fundamental Theorem of Algebra states that every polynomial with real coefficients and a grade greater than zero has at least a real root. Let be [tex]f(x) = (x+7)^{5}[/tex], if such expression is equalized to zero and handled algebraically:
1) [tex](x+7)^{5} = 0[/tex] Given.
2) [tex](x+7)\cdot (x+7)\cdot (x+7)\cdot (x+7)\cdot (x+7) = 0[/tex] Definition of power.
3) [tex]x+7=0[/tex] Given.
4) [tex]x = -7[/tex] Compatibility with the addition/Existence of the additive inverse/Modulative property/Result.
This expression has a real root of fifth-grade multiplicity. No complex roots.
For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, is the level of significance, p is the sample proportion, and n is the sample size.
Claim: p >=0.28; α:0.08. Sample statistics: p=0.20, n= 180
Required:
If a normal sampling distribution can be used, decide whether to reject or fail to reject the null hypothesis and interpret the decision.
Answers
Answer:
The Central Limit Theorem says that if the sample size is more than 30, the data follows a normal sampling distribution. Since the sample size is 180, and that is more than 30, a Normal sampling distribution can be used.
Since a normal sampling distribution can be used, we should FAIL TO REJECT the null hypothesis because p = 0.20, which is more than the significance level of α = 0.08. There is NOT sufficient evidence to suggest that the alternative hypothesis is true.
Hope this helps!
Answer the following questions: 2/3 is what percent of 1/4?
Answers
Answer:
1/2 or 0.5
Step-by-step explanation:
To find out what 2/3 is out of 3/4, we just have to multiply them together to get our exact answer.
[tex]\frac{2}{3} *\frac{3}{4}=\frac{6}{12}=\frac{1}{2}[/tex]
Our final answer is 1/2 or 0.5.
solve the inquality 1/2*<10
Answers
Answer:
[tex]\boxed{x<20}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2} x<10[/tex]
Multiply both sides by 2.
[tex]x<20[/tex]
In the triangles, QR = DE and SR = FE. Triangles S Q R and F D E are shown. Angle S R Q is 62 degrees. Angle D E F is 50 degrees. Sides Q R and D E are congruent. Sides S R and F E are congruent. Which statement about the sides must be true? QS = DF DF < QS QS < DE SR = DE
Answers
Answer:
b
Step-by-step explanation:
The sides must be true DF < QS
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
ΔSQR and ΔFDE
QR = DE and SR = FE
∠SQR =62°, ∠DEF =50°
QR ≅ DE and SR ≅ FE
∵ ∠DEF > ∠SQR
So, side DF < QS
Hence, DF < QS
Learn more about of congruent triangles
brainly.com/question/4364353
#SPJ2
a scale drawing of a rectangular playground has a length of 20 inches and a width of 10 inches as shown below. the scale is 1 inch = 4 feet. what is the area of the actual playground? *
Answers
Answer:
3,200 ft²
Step-by-step explanation:
first you want to convert the sides from inches to feet so 20* 4= 80, and 10* 4= 40 then you multiply the sides to get the area which is 80*40= 3,200 ft²
Part A Each time you press F9 on your keyboard, you see an alternate life for Jacob, with his status for each age range shown as either alive or dead. If the dead were first to appear for the age range of 75 to 76, for example, this would mean that Jacob died between the ages of 75 and 76, or that he lived to be 75 years old. Press F9 on your keyboard five times and see how long Jacob lives in each of his alternate lives. How long did Jacob live each time? Part B The rest of the potential clients are similar to Jacob, but since they’ve already lived parts of their lives, their status will always be alive for the age ranges that they’ve already lived. For example, Carol is 44 years old, so no matter how many times you press F9 on your keyboard, Carol’s status will always be alive for all the age ranges up to 43–44. Starting with the age range of 44–45, however, there is the possibility that Carol’s status will be dead. Press F9 on your keyboard five more times and see how long Carol lives in each of her alternate lives. Remember that she will always live to be at least 44 years old, since she is already 44 years old. How long did Carol live each time? Part C Now you will find the percent survival of each of your eight clients to the end of his or her policy using the simulation in the spreadsheet. For each potential client, you will see whether he or she would be alive at the end of his or her policy. The cells in the spreadsheet that you should look at to determine this are highlighted in yellow. Next, go to the worksheet labeled Task 2b and record either alive or dead for the first trial. Once you do this, the All column will say yes if all the clients were alive at the end of their policies or no if all the clients were not alive at the end of their policies. Were all the clients alive at the end of their policies in the first trial? Part D Next, go back to the Task 2a worksheet, press F9, and repeat this process until you have recorded 20 trials in the Task 2b worksheet. In the Percent Survived row at the bottom of the table on the Task 2b worksheet, it will show the percentage of times each client survived to the end of his or her policy, and it will also show the percentage of times that all of the clients survived to the end of their respective policies. Check to see whether these percentages are in line with the probabilities that you calculated in questions 1 through 9 in Task 1. Now save your spreadsheet and submit it to your teacher using the drop box. Are your probabilities from the simulation close to the probabilities you originally calculated?
Answers
Step-by-step explanation:
brain list me please......
Answer:
Jacob:
Alive 69-70
alive 79-80
alive 62-63
alive 73-74
alive 78-Died 79
Carol:
alive 88-89
alive 67-68
alive 99-100
alive 73-74
alive 94- Died 95
Step-by-step explanation:
An architect needs to consider the pitch, or steepness, of a roof in order to ensure precipitation runoff. The graph below shows
the vertical height, y, versus the horizontal distance, x, as measured from the roof peak's support beam.
Roof Steepness
y
14
12
10
8
Vertical Height (feet)
4
2
+X
10 12 14
0
2
4
6
8
Horizontal Distance (feet)
Determine the equation that could be used to represent this situation.
Answers
Answer:
The third answer (C).
Step-by-step explanation:
This graph starts at 10. So it needs the +10 at the end.
Also the slope is -1/2 because the graph goes down one, right two. Rise/run.
Answer:
y= -1/2x+10
Step-by-step explanation:
The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept.
For the the given graph, the y-intercept is 10. The slope can be determined by finding the rate of change between any two points on the graph, such as (2,9) and (8,6).
consider the distribution of monthly social security (OASDI) payments. Assume a normal distribution with a standard deviation of $116. if one-fourth of payments are above $1214,87 what is the mean monthly payment?
Answers
Answer:
[tex]\mu = x - z(\sigma)[/tex]
[tex]\mu = 1214.87 - 0.67(116) \\\\\mu = 1214.87 - 77.72 \\\\\mu = \$1137.15[/tex]
Therefore, the mean monthly payment is $1137.15.
Step-by-step explanation:
What is Normal Distribution?
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
We are asked to find the mean monthly social security (OASDI) payment.
Mean monthly payment = μ = ?
We are given that the standard deviation is $116
One-fourth of payments are above $1214.87
One-fourth means 25%
[tex]P(X > x )= P(Z > z ) = 0.25\\\\P(X < x )= P(Z < z) = 1 - 0.25\\\\P(X < x )= P(Z < z) = 0.75\\\\[/tex]
From the z-table, the z-score corresponding to 0.75 is found to be 0.67
[tex]z = 0.67[/tex]
The mean is found by
[tex]x = \mu + z(\sigma)[/tex]
[tex]\mu = x - z(\sigma)[/tex]
Where
x = $1214.87
z = 0.67
σ = $116
[tex]\mu = 1214.87 - 0.67(116) \\\\\mu = 1214.87 - 77.72 \\\\\mu = \$1137.15[/tex]
Therefore, the mean monthly payment is $1137.15.
A record club has found that the marginal profit, Upper P prime (x ), in cents, is given by Upper P prime (x )equals negative 0.0008 x cubed plus 0.35 x squared plus 45.5 x for x less than or equals 400, where x is the number of members currently enrolled in the club. Approximate the total profit when 240 members are enrolled by computing the sum
Answers
Answer:
The total profit when 240 members are enrolled is:
3,587,212.8 cents
Step-by-step explanation:
First of all, the total profit function is gotten by integrating the marginal profit function.
Integrate thus:
Total Profit = P(x) = [-0.0008x^4 ÷ 4] + [0.35x^3 ÷ 3] + [45.5x^2 ÷ 2]
P(x) = 0.0002x^4 + 0.1167x^3 + 22.75x^2
Next, substitute 240 for x, in the total profit function.
P(x) = 0.0002[240]^4 + 0.1167[240]^3 + 22.75[240]^2
P(x) = 663552 + 1613260.8 + 1310400
P(x) = 3,587,212.8 cents
Equivalent to $35,872.128
Drag each tile to the correct box. Order the expressions from least value to greatest value . -3 3/10 - ( -7/20 ), 5/-1.6, 5 6/15 + ( -2 4/5 ), -4.5 x -2.3
Answers
Answer:
B A C D
Step-by-step explanation:
Your calculator can tell you the values of these expressions. In the order given, they are ...
-3 3/10 -(-7/20) = -2.955/-1.6 = -3.1255 6/15 +(-2 4/5) = 2.6-4.5×-2.3 = 10.35We hope you have no trouble recognizing that swapping the first two expressions will put them all in increasing order.
-3 3/10 -(-7/20) = -2.95
5/-1.6 = -3.125
5 6/15 +(-2 4/5) = 2.6
-4.5×-2.3 = 10.35
Ellie can edit an average of 160 pages of text in an 8 hour work day. What is her unit rate for the number of pages edited per hour?
Answers
[tex]\text{We need to find how many pages she can edit in 1 hour}\\\\\text{We know that she can average 160 edits in 8 hours}\\\\\text{With this data, we can find the unit rate}\\\\\text{To get the unit rate, we would divide 160 by 8. This will get us the pages}\\\text{per hour}\\\\160\div8=20\\\\\text{She can edit 20 pages per hour}\\\\\boxed{\text{20 pages}}[/tex]
Find the exact values of sin 2θ and cos 2θ for cos θ = 6/13
Answers
Answer:
Step-by-step explanation:
cos^-1(6/13)=62.5136°
sin(2*62.5136°)=0.8189
cos(2*62.5136°)=-0.5740
What is the list price of an article that is subject to discounts of 334 %, 10%, and 2%
if the net price is $564.48?
Answers
Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola. Equation 1: (x – 3)2 = y – 4 Equation 2: y = -x + b In order for Tom’s thinking to be correct, which qualifications must be met?
Answers
Answer:
b=7
Step-by-step explanation:
Answer:
b must equal 7 and a second solution to the system must be located at the point (2, 5).
Step-by-step explanation:
i got it right on the test
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 33/fts. The ball's height h (in feet) after t seconds is given by the following. =h+2−33t16t2 Find all values of t for which the ball's height is 18 feet. Round your answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.)
Answers
Answer:
t=1.283 seconds and
0.779 seconds
Step by step Explanation:
Given: h=18 ft
The given equation is h=2+33t-16t²
Then if we substitute the value of given h, h=18 ft into the given equation we have,
18=2+33t-16t²
Then if we re- arrange we have
16t²−33t+16=0
We can see that the above quadratic equation is in standard form, with a=16, b=33 and c=16 then we can use quadratic formula in solving it which is
t= −(−33±√[(−33) ²−4×16×16)]/(2×16)
= [33±√[1089−1024]/(32)
= [33±√[65]/(32)
=1.283 or 0.779 seconds
the two real roots , of the quadratic are:
1.283 and
0.779 seconds
t= 1.283 or 0.779 seconds
Hence, the ball is at 18 feet with height 0.779seconds after it has been thrown up and,
and is at 21 feet with height 1.283 seconds after after thrown down
WHat is the answer to this?
Answers
Answer:
0.9
Step-by-step explanation:
First, convert them all into fractions:
[tex]2\frac{1}{3}=\frac{7}{3}[/tex]
[tex].5=\frac{1}{2}[/tex]
Now, we have:
[tex]\frac{4x+9}{\frac{7}{3} } =\frac{3x}{\frac{1}{2} }[/tex]
Cross multiply:
[tex]\frac{1}{2} (4x+9)=\frac{7}{3} (3x)[/tex]
On the left, distribute. On the right, notice that the 3 in the denominator and the coefficient 3 cancel:
[tex]2x+4.5=7x[/tex]
[tex]4.5=5x[/tex]
[tex]x=0.9=9/10[/tex]
Answer and step-by-step explanation:
Photo
A political analyst predicts Mr. Smith will only get 122 votes for mayor. If Mr. Smith only gets 57 votes, what is the political analyst's percent error?
Answers
Answer:
65%
Step-by-step explanation:
Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes. This system of equations models the situation. x + y =125 5x + 8y = 775
Answers
Answer:
[tex] x+y = 125[/tex] (1)
[tex] 5x+8y = 775[/tex] (2)
We can solve for y from equation (1) and we got:
[tex] y = 125-x[/tex] (3)
And replacing (3) into (2) we got:
[tex] 5x +8(125-x) = 775[/tex]
And solving for x we got:
[tex] 1000-3x = 775[/tex]
[tex] 3x= 225[/tex]
[tex] x=75 [/tex]
And solving for y from (3) we got:
[tex] x= 125-75 =50[/tex]
And the solution would be x = 50 and y =75
Step-by-step explanation:
For this problem we have the following system of equations:
[tex] x+y = 125[/tex] (1)
[tex] 5x+8y = 775[/tex] (2)
We can solve for y from equation (1) and we got:
[tex] y = 125-x[/tex] (3)
And replacing (3) into (2) we got:
[tex] 5x +8(125-x) = 775[/tex]
And solving for x we got:
[tex] 1000-3x = 775[/tex]
[tex] 3x= 225[/tex]
[tex] x=75 [/tex]
And solving for y from (3) we got:
[tex] x= 125-75 =50[/tex]
And the solution would be x = 50 and y =75
The triangles are similar. Write a similarity statement for the triangles.
Answers
Answer:
Option (2)
Step-by-step explanation:
In the two triangles ΔWVZ and ΔYXZ,
If the sides WV and XY are parallel and the segments WY and VX are the transverse.
∠X ≅ ∠V [Alternate angles]
∠W ≅ ∠Y [Alternate angles]
Therefore, ΔWVZ ~ ΔYXZ [By AA postulate of the similarity]
Option (2) will be the answer.
a lottery game has balls numbered 1 through 21. what is the probability of selecting a ball with a prime number on it or a 10
Answers
Answer:
3/7
Step-by-step explanation:
The prime numbers that lie between 1 and 21 are 2,3,5,7,11,13,17, and 19. These 8 balls, plus the 10-ball comes to a total of 9 balls that could be picked out of the 21. Therefore, the probability of picking one of these balls is 9/21 or 3/7
Answer:
[tex]\frac{9}{21}[/tex]
Step-by-step explanation:
→ List the prime numbers between 1 and 21
2, 3, 5, 7, 11, 13, 17 and 19
→ Count how many ball that is
8 balls
→ Remember in the question it says "what is the probability of selecting a ball with a prime number on it or a 10"
8 balls + 1 ball (the one with the number 10)
→ 9 balls overall over a total of 21
Which of the following best describes so ?
A.
Center
B.
Radius
C.
Diameter
D.
Chord
Answers
Step-by-step explanation:
D.
chord
hope you like this
stay at home stay safe
Answer: d
Step-by-step explanation: