Question 2
In 2007 the US Census Bureau reported that 71.3% of American families owned their
homes. The city council is debating on whether to offer tax breaks to first time
homebuyers, but they only want to do so if there is strong evidence that the rate of
home ownership has increased since 2007 since it will cost the city money to do so.

a) What are the null and alternative hypothesis?

b) Describe a Type I error in context along with the consequence.

c) Describe a Type Il error in context along with the consequence.

d) Which is a more serious error in this context? Justify your answer

e) For each type of error, tell who would be harmed.

(These are questions to answer, not answer choices.)

Answers

Answer 1

The answer to all the questions is explained below with justifications.

What is hypothesis testing?

In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test. The type of data used and the purpose of the study will determine the methodology the analyst uses.

a) The null hypothesis[tex](H_o)[/tex] is that 71.3% or more of American families owned their homes.

The alternative hypothesis[tex](H_1)[/tex]is less than 71.3% of American families owned their homes.

b) The type I error is the null hypothesis is true but we assumed it to be false that is 71.3% or more of American families owned their homes but the council did not provide tax breaks.

The type II error is the null hypothesis is false and we assumed it to be true

that is less than 71.3% of American families owned their homes and the council provides tax breaks.

c) The consequences of the type II error would be the council will provide tax breaks to more people and it would cost them a large amount of money.

d) Type II error is more serious in this context as the council has to lay off a large amount as compared to individual homeowners who already can afford to buy a house.

e) For type I error house owners will be harmed and for type II error counsel will be harmed.

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Related Questions

ALGEBRA 2 - Exponential and Logarithmic Functions
April invests $500 in an account that is compounded continuously at an annual interest rate of 5%. Approximately how many years will it take for April’s money to double?

Answers

Answer:

It will take approximately 14.2 years for April’s money to double.

Step-by-step explanation:

PLEASE HELP ASAP
Chris stopped for gas twice on a long car trip The price of gas at the first station was $1.45 per gallon, and the price of gas at the second station was $1.55 per gallon. On the trip, Chris bought a total of 20 gallons of gas and spent $29.80. If x = the number of gallons that Chris bought at the first station, and y = the number of gallons Chris bought at the second station, which system of equations could be used to find the number of gallons of gas Chris bought at each station.

A.1.45x + 1.55y = 20 and x + y = 29.80

B. x + y = 20 and 1.45x + 1.55y = 29.80

C. x + y = 20 and 1.45x - 1.55y = 29.80

D. xy = 20 and 1.45x + 1.55y = 29.80

Answers

The system of equations could be used to find the number of gallons of gas Chris bought at each station is,

B. x + y = 20 and 1.45x + 1.55y = 29.80.

What are linear and non-linear functions?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Given, Chris stopped for gas twice on a long car trip.

The price of gas at the first station was $1.45 per gallon, and the price of gas at the second station was $1.55 per gallon and filled a total of 20 gallons of gas and cost him a total of $29.80.

Therefore the system of linear equations that represents the context is,

x + y = 20 and 1.45x + 1.55y = 29.80.

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•35 POINTS• (it’s not SAS)

1.SSS
2.ASA
3.SAA

Answers

Answer:

SAA

Step-by-step explanation:

SAA because the three triangles make an angle in the middle and have two sharing sides that are congruent.

Check image explanation below

What is the inverse of the inverse of P → Q?

Answers

The inverse of ∼P→∼Q is P->Q.

Given ∼P→∼Q

Its inverse, ∼(∼P)→∼(∼Q), means that P→Q.

If the hypothesis is correct but the conclusion is untrue, a conditional statement is false. If the statement in the example above read, "If you achieve good marks then you will not get into a good college," it would be untrue. A conditional statement that has been modified or rearranged is referred to as a related conditional. An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion. It is noted that p→q. Read this: if p, then q.

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-(-10x-6)-6=-9x
Solve for x

Answers

Answer:

x=0

Step-by-step explanation:

Solving the equation:

10x+6-6=-9

10x=-9x

19x=0

x=0

X would equal zero (see attached images)

When studying for his test, Joe found a z-score for the weight of a particular rock to be 1.48

What does this z-score mean in the context the distribution of data collected from the weights of all rocks studied.

Answers

Answer:

it is about 99% on a graph

Step-by-step explanation:

iready which expression is equivalent to the expression shown​

Answers

Answer:

7^12

Step-by-step explanation:

When dividing two exponents by the same base, it is the same as subtracting the power (14-2).

what is the volume of this triangular prism? the base is 12 ft the height is 6 ft and the bottom is 20 ft

Answers

Answer:

720 [tex]ft^3[/tex]

Step-by-step explanation:

Answer:

720 ft³

Step-by-step explanation:

Volume = Area Triangle times Length

Area triangle = 1/2(6x12) = 1/2(72) = 36 ft²

Volume = 36 ft² x 20 ft = 720 ft³

Volume = 720 ft³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

B is the circumcenter of △ADG. find AE and DG​

Answers

When B is the circumcenter of  triangle ADG the lengths of AE and DG are 4 and 12 respectively

What is circumcenter in a triangle?

The intersection of the perpendicular bisectors of a triangle's sides is known as the circumcenter of that particular triangle.

In other terms, the circumcenter is the point at which the bisector of a triangle's sides coincides.

The perpendicular lines radiating from the sides of the triangle are the bisectors hence the line it radiates from shares the is shared into two halves at that point

Having this in mind

AE = DE = 4

and

DF = GF = 6

Also, DF + GF = DG

DG = DF + DF

DG = 6 + 6

DG = 12

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The height (h) in meters, of an item d days

can be modeled using the equation, h(d) = 3(5/4)^x



What does the fraction 5/4

represent in this equation?

Answers

Therefore, the fraction 5/4 in this equation represents the growth factor of the height of the item over time.

What is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.

Define numerator or denominator.

The total number of equally sized components chosen is shown in the numerator. The denominator, however, shows the total number of equal pieces.

The fraction 5/4 in this equation represents the growth factor of the height of the item over time. The value of 3 in front of the fraction is the initial height and the exponent x represents the number of days that have passed, so the height of the item increases by a factor of 5/4 for every additional day. The height equation represents exponential growth.

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Evaluate 5c+cd5c+cd5, c, plus, c, d when c=\dfrac15c=
5
1

c, equals, start fraction, 1, divided by, 5, end fraction and d=15d=15

Answers

Answer:

the value is 4

Step-by-step explanation:

Given the graph of log y=log(2)x. Find the area of the three inscribed rectangles

Answers

Answer: [tex]6+2log_{2} 6[/tex]

Step-by-step explanation:

[tex]S=s_{1} +s_{2} +s_{3} = 2(h_{1} +h_{2} +h_{3} )[/tex]

[tex]h_{1} = log_{2}2=1[/tex]

[tex]h_{2} = log_{2}4=2[/tex]

[tex]h_{3} = log_{2}6[/tex]

[tex]S = 2(1+2+log_{2}6) = 6+2log_{2}6[/tex]

Name 3 things that you need to know to know somethings volume. (teacher didn’t say what)

Answers

Answer:

The area of the base and the height of the object

Step-by-step explanation:

you need to know these so you can us the formula      B x H = V

B = base

H = height

V = volume

27. Francis bought two dresses and one pair of shoes for $70.50, before tax. The shoes cost $15.00 more than one dress. How much did the pair of shoes cost?

Answers

Answer:

The pair of shoes cost $33.50

Step-by-step explanation:

let the cost of dresses be d and the cost of shoes be s

2 dresses and 1 shoe pair cost $70.5

2d + s = 70.5 •••••(i)

Shows cost $15 more than one dress

s = d + 15

d = s-15 ••••(ii)

Substitute ii into i

2(s-15) + s = 70.5

2s -30 + s = 70.5

3s = 70.5 + 30

3s = 100.5

s = 100.5/3

s = $33.50

i’m literally incapable of math pls help

Answers

Answer:

5. It has no solution because this symbol > is greater than and it says that -1 > n>5.

-1 is not greater than 5.

Step-by-step explanation:

Have a nice day! :-)

A dog park is being built and needs to be fenced. The dimensions of the park will be 18.5 feet by 30.25 feet. How much fencing material will be needed to fence the entire park? Disregard gates or any other complication.​

Answers

Answer:

97.5

Step-by-step explanation:

In my eyes I think we are talking about perimeter...

So then we would have to add up all the sides giving us the result.

30.25+30.25+18.5+18.5 = 97.5

And I am terribly sorry if it was incorrect I feel like i messed up on the "Disregard" part.. Anyways

Hope this helps! :)

Morgan collects toy horses. she has 34 in her collection. she got 23 horses for her birthday. she dropped a box and broke 5 of them. how many toy horses does she has now

Answers

Answer:

34 + 23 = 57

57 - 5 = 52

Therefore, she has 52 toy horses.

(a) Write down the value of xº
Given that 2-3 x 2⁹ = 2n
(b) find the value of n

Answers

From the equation (2-3 x 2⁹ = 2n), the value of n is -767.

What is the equation?

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized.

The word equation and its cognates in various languages may have slightly different meanings. In mathematics, an equation is a formula that uses the equals sign to denote the equality of two expressions.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Given data :

2-3 x 2⁹ = 2n

= 2n = 2 - 3 .

= 3 .   = 1536

= 2n = 2 - 1536

= 2n = -1534

Divide both sides by 2

= 2n/2

= -1534/2

n = -767

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help me please!

- no fake answers/links please.​

Answers

Answer: C

Step-by-step explanation:

Just go 2 units up on the grid and one to the left

Answer:

(3,6)

Step-by-step explanation:

First, find the coordinate of the school. The school is at (4,4).

Coordinates are written as (x,y). x represents the side to side coordinate, and y represents the up down coordinate. so if the house is one unit left of the school, subtract one from the x coordinate to get 3. if the house is two units up from the school, add 2 to the y coordinate to get 6. and there you go!

whats 4x4-2+4-4-4-4-4-4-4-4+20+10

Answers

Answer:

16

Step-by-step explanation:

use desmos

Answer: 20

Step-by-step explanation:

4x4-2+4-4-4-4-4-4-4-4+20+10 = 20

A new music festival was launched in Nashville. The first year, 150,000 people attended. They project the attendance to rise by 8% each year. How many people will attend the festival in 3 years?

Answers

Exponential increase
150,000x(1.08)^x where x is years
150,000x(1.08)^3 = 188957

a line is parallel to the y=x-8 and intersects the point (4,-9). What is the equation of this parallel line? Start by entering this into point-slope form

Answers

Answer:

sry i dont no

Identify one exterior angle.
Help please

Answers

Angle 1, 3, and 5 are exterior angles.

What are the Miller indices for the plane shown in the following cubic unit cell and Explain why? O (201) O (10 1/2) O (1 infinity 1/2) O (102)

Answers

The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).

Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.

Steps to find the Miller indices:Determine intercepts of the planes with the x, y, and z axes.Use fractional coordinates to specify intercepts.Take the reciprocals of the fractional intercepts

In the given graph, the plane intercepts are:

x-intercept : 1

y-intercept : ∞  (since the planes does not intercept y-axes)

z-intercept = 1/2

Take the reciprocal:

1/1 = 1

1/∞ = 0

1/(1/2) = 2

Hence, the miller indices are (102)

The graph in your question is missing. Most likely it was like on the attached picture.

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how to solve this? which i have to find the height.

Answers

Answer:

h = 3

Step-by-step explanation:

We can see a triangle with a base equal to (1/2)×6 or 3 with a hypotenuse of 3×sqrt(2). So we can use the Pythagorean theorem to solve for height h:

hyp^2 = b^2 + h^2

h^2 = hyp^2 - b^2

[tex] {h}^{2} = {(3 \sqrt{2}) }^{2} - { 3}^{2} = 9[/tex]

or h = 3

help please this is hard for me-

Answers

Answer:

Um u have to move the protractor to get ur answer i cant look at it and see the answer i think thts why they gave the protractor

Step-by-step explanation:

25PTS 25PTS don’t have to explain

Answers

Answer: y=3x-2

Hope that helps!

Answer:

y = 3x - 2

Step-by-step explanation:

A sample of 12th grade students who took the National Assessment of Education Progress year 2000 mathematics test had a mean score of 250. What is the population

Answers

On solving the provided question, we can say that by mean score the population will be 20192

What is mean?

A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the dataset's total number of values by the sum of all of those values yields this result. Both raw data and data that have been combined into frequency tables can be used for calculations. Average refers to a number's average. It is straightforward to calculate:Divide by how many digits there are after adding up all the digits. the total divided by the count.

A sample of 12th grade students who took the National Assessment of Education Progress year 2000 mathematics test had a mean score of 250

200/4

= 50

50*e^{-2}

the population will be 20192

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Type the correct answer in each box. Use numerals instead of words.
For linear functions v and w, v(10) = 12, and w(10) = 9.
(V+ W/(10) =
(V-W(10) =
(VW(10) =

Answers

V+W=12+9=21
V-W=12-9=3
VW=12*9=108

Find the exact value of tan A in simplest radical form.

Answers

Answer:   sqrt(3)

========================================================

Work Shown:

The tangent ratio involves the opposite over adjacent.

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = sqrt(75)/5

tan(A) = ( 5*sqrt(3) )/5 .... see the section below

tan(A) = sqrt(3)

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

sqrt(75) = sqrt(25*3)

sqrt(75) = sqrt(25)*sqrt(3)

sqrt(75) = 5*sqrt(3)

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