A resident of Bayport claims to the City Council that the proportion of Westside residents
(1) with income below the poverty level is lower than the proportion of Eastside residents
(2) The City Council decides to test this claim by collecting a random sample of resident incomes from the Westside of town and a random sample of resident incomes from the Eastside of town. Seventy-six out of 578 Westside residents had an income below the poverty level. Hundred-and-twelve out of 688 Eastside residents had an income below the poverty Specify the hypotheses.
Calculate the value of the test statistic (round to 4 decimal places).
Calculate the p-value (round to 4 decimal places).

Answers

Answer 1

Answer:

The test statistics is  [tex]z =  -1.56 [/tex]  

The p-value is   [tex]p-value =  0.05938 [/tex]

Step-by-step explanation:

From the question we are told  

   The West side sample  size is [tex]n_1  =  578[/tex]

    The  number of residents on the West side with income below poverty level is [tex]k  = 76[/tex]

    The East side sample size  [tex]n_2=688[/tex]

  The  number of residents on the East side with income below poverty level is [tex]u  = 112[/tex]

   The null hypothesis is  [tex]H_o  :  p_1 = p_2[/tex]

    The alternative hypothesis is  [tex]H_a :  p_1 <  p_2[/tex]

Generally the sample proportion of  West side is  

     [tex]\^{p} _1 = \frac{k}{n_1}[/tex]

=>   [tex]\^{p} _1 = \frac{76}{578}[/tex]

=>   [tex]\^{p} _1 =  0.1315 [/tex]

Generally the sample proportion of  West side is  

     [tex]\^{p} _2 = \frac{u}{n_2}[/tex]

=>   [tex]\^{p} _2 = \frac{112}{688}[/tex]

=>   [tex]\^{p} _2 =  0.1628 [/tex]

 Generally the pooled sample proportion is mathematically represented as

    [tex]p = \frac{k + u}{ n_1 + n_2 }[/tex]

=>  [tex]p = \frac{76 + 112}{ 578 + 688 }[/tex]

=>  [tex]p =0.1485[/tex]

Generally the test statistics is mathematically represented as

[tex]z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2}  ]}  }[/tex]

=> [tex]z = \frac{ 0.1315  - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688}  ]}  }[/tex]  

=> [tex]z =  -1.56 [/tex]  

Generally the p-value  is mathematically represented as

          [tex]p-value =  P(z <  -1.56 )[/tex]

From z-table  

         [tex]P(z <  -1.56 ) =  0.05938[/tex]

So

     [tex]p-value =  0.05938 [/tex]


Related Questions

I don’t understand this question.

Answers

Angle TQS is equal to 74 degrees
Answer: If the answer to the first angle is 106, the next answer would be 74. This is because the total is 180 because its straight. So, subtract 106 from 180. You get 74.

Explanation: x=7 in this case. When its says, TQS, it means that particular angle.

Haley makes a total of $400 a part-time job over a two week period. The first week she makes $20 more than her second weeks paycheck. How much money did she make each week

Answers

Answer: on the first week she earned 220$ and on the second week she earns 200$

Step-by-step explanation: Haley makes a total of 400$ in a week. divided by 2 would equal 200$ each. but Haley made an extra 20$ in the first week. so, 200$+20$=220$.And the two combined is 420$.

If a • b = 0, and a ≠ 0, then b=

Answers

Answer: 5573

Step-by-step explanation:

-18 - 6n= 6 (1 + 3n)

Answers

Answer:-1

Step-by-step explanation:-18-6n = 6 + 18n

-6n=6

divide

n=-1

Answer:

-1

Step-by-step explanation:

First, divide by 6

-18/6- 6n/6=6/6(1+3n)

-3-n= 1+3n

Then move the variable to one side

-3-n+n= 1+3n+n

-3=1+4n

Then isolate the variable

-3-1=1-1+4n

-4=4n

Isolate more

-4/4=4n

-1=n

Three consecutive integers have a sum of 48. Find the integers.

Answers

Answer:

15, 16, and 17.

Step-by-step explanation:

They are consecutive and they add up to 48.

If n is divisible by 2, 5 and 14, which of the following is also divisible by these numbers?

Answers

Answer:

The number 70 is divisible by 2,5 and 14.

Explanation:

Out of all the equations, n+70 ⇒ 70+70 ⇒ 140.

140 is divisible by 2, 5 and 14.

SO the answer is option e: n+70

       

Which of these is a set of inputs and outputs for the function f(x) = 2x + 4 ?

Answers

Answer:

(1, 6), (2, 8), (3, 10)

2(1) + 4 = 6, 2(2) + 4 = 8 and 2(3) + 4 = 10.

Step-by-step explanation:

The set of inputs for the equation f ( x ) = 2x + 4 is

( 1 , 6 ) , ( 2 , 8 ) , ( 3 , 10 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be f ( x ) = 2x + 4

f ( x ) = y

Now ,

Let the first point be A ( 1 , 6 )

Let the second point be B ( 2 , 8 )

Let the third point be C ( 3 , 10 )

a)

A ( 1 , 6 )

Substitute the value of x and y in the equation , we get

y = 2x + 4

6 = 2 ( 1 ) + 4

6 = 2 + 4

6 = 6

Hence , the input A ( 1 , 6 ) satisfies

b)

B ( 2 , 8 )

Substitute the value of x and y in the equation , we get

y = 2x + 4

8 = 2 ( 2 ) + 4

8 = 4 + 4

8 = 8

Hence , the input B ( 2 , 8 ) satisfies

c)

C ( 3 , 10 )

Substitute the value of x and y in the equation , we get

y = 2x + 4

10 = 2 ( 3 ) + 4

10 = 6 + 4

10 = 10

Hence , the input C ( 3 , 10 ) satisfies

Hence , The set of inputs for the equation f ( x ) = 2x + 4 is

( 1 , 6 ) , ( 2 , 8 ) , ( 3 , 10 )

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Please help ASAP ! Find the expressions for the perimeter of these shapes.

Answers

Answer:

Quest 1. P = 3xat2 + 4yat2 + 11xy

Quest 2. P = 7xat2 + 21x + 5y + 5

Step-by-step explanation:

Note: Perimeter, P is the total sum of the distance round about an object. that at symbol cant be used here.so.am.using at2 for squared

What is -9 + m + (-6) in simplest form?

Answers

Answer:

m-15

Step-by-step explanation:

Economists study the way society uses its resources. One important resource studied is agriculture. The recent increase in demand for organic produce has created some interesting economic scenarios for both farmers and consumers. Click the article to learn key facts about the economics of organic produce and answer a few questions.

Which is a reason that organic farming is more expensive than conventional farming?



How many years must a farm be run organically before its produce can be labeled as “organic”?



What is a benefit of crop rotation?

Answers

Answer:

Which is a reason that organic farming is more expensive than conventional farming?

Organic farmers must pay for a costly certification process

How many years must a farm be run organically before its produce can be labeled as “organic”?

3

What is a benefit of crop rotation?

Rotating crops can help build healthy soil.

Step-by-step explanation: Hope you pass! :)))

first one is C second one is 3 third one is A

hope i helped

what expression is equivalent to 2

Answers

Answer:

4 - 2 = 2

Step-by-step explanation

I don’t understand this question.

Answers

Answer:

-7.89 is the answer

mark me the brainlets

Step-by-step explanation:

Can someone explain both of these ratios and answers to me?

Answers

Answer:

15 ( for Herimone) And 8 ( For Stranger Things)

Step-by-step explanation:

When Herimone uses 5 grams of Pearl Sheen she creates 30 fluid ounces of love potion. Last week she created 90 ounces which is 3 times larger than 30 ounces so you have to multiply 5 by 3 to figure out the amount of Pearl Sheen she used which is 15

For stranger things they Multiplied 3 by 2 so you have to multiply 1 by 2 to get 2. Then you have to add 6 and 2 to get 8 kids.

Hope This Helps!

What is the ratio of 11 inches to 3 feet? (Change the feet to inches.) Group of answer choices

11:36
36:11
3:11
11:3​

Answers

Answer:

The first option (11:36)

Step-by-step explanation:

When you convert the 3 feet to inches, you multiply by 12. There is 12 inches in each foot, so multiply 3 by 12 will result in 36.

We are comparing the 11 inches to the 3 feet (36 inches), so it would look like this:

11 : 36

(Can also be shown as 11 - 36)

1 Foot = 12 inches

3 feet x 12 = 36 inches.

Ratio = 11:36

help please its important

Answers

Answer:

DBYes

Step-by-step explanation:

x: cupcakes

y: cakes

no more than 224 minutes: ≤ 224, average 4 minutes cupcakes: 4x and average 32 minutes cakes: 32ywhen you plug in the 4 cakes as y it becomes x≤24....4x+32(4)≤224...(4x+128≤224)-128....(4x≤96)/4...x≤24when you plug in the given numbers it is a true statement.... 4(32)+32(3)≤224...128+96≤224....224≤224

9514 1404 393

Answer:

  1.  d. 4x +32y ≤ 224

  2.  b. x ≤ 24

  3.  yes

Step-by-step explanation:

1. For x number of cupcakes, at 4 minutes each, the time required for their decoration is 4x.

For y number of cakes, at 32 minutes each, the time required for their decoration is 32y.

The total decorating time must be less than or equal to 224 minutes:

  4x +32y ≤ 224

__

2. For y=4, the constraint on x is ...

  4x +32(4) ≤ 224

  4x ≤ 96

  x ≤ 24

__

3. We can try the numbers and see if the inequality is true:

  4(32) +32(3) ≤ 224

  128 +96 ≤ 224 . . . . . . . . true (equal)

Yes, it is possible.

what is 7 - 4 = 5x - 13

Answers

Answer:

x=16/5

Step-by-step explanation:

7-4=5x-13

3=5x-13

+13.  +13

16=5x

16/5 = x

Carolyn is using the table to find 360% of 15. What values do X and Y represent in her table? Percent Total 100% 100% 100% 20% 20% 20% 360% X X X Y Y Y X = 2.5; Y = 2.5 X = 5; Y = 0.75 X = 15; Y = 3 X = 15; Y = 5

Answers

Answer:   c

Step-by-step explanation:

Based on the percent breakdown of 360%.

100% 100% 100% 20%20%20%

15.       15.      15.    3.     3.     3.

100% is all of it, so 15. This is x.

20% of it would be calculated as 0.2 x 15 or 3. This is y.

Answer:

c

Step-by-step explanation:

The set of all numbers greater than -1 and less than 0.

Answers

Answer:

I would just think that it is 0

Step-by-step explanation:

0 is greater then -1 and it is the exact same thing and not less than 0

Answer:

-0.5

Step-by-step explanation:

<________-1_-0.5_0__1_________>

its greater than -1 and less than 0

What are the possible degrees for the polynomial function?
degrees of 6 or greater
even degrees of 6 or greater
degrees of 5 or greater
odd degrees of 5 or greater

Answers

Answer:b

Step-by-step explanation:on edge2020

need help again please i’m sorry...

Answers

Answer:

The slope is -1/5

Step-by-step explanation:

y = mx +b is in slope intercept form

m is the slope and b is the y intercept

y = -1/5x -1

The slope is -1/5 and the y intercept is -1

Answer:

Step-by-step explanation:

The slope is -1/5

Which is not a classification for AFGH?
A acute
C isosceles
B scalene D equiangular
/60
H

Answers

Answer:

A

Step-by-step explanation:

washewepshepshepshepshep

Answer: Yup A.........

solve for brainliestA keem measured the capacity of a glass as
2 7 0 mL and the capacity of a Th e rm o s® a s
1 L. He said that the ratio 270 :1 compare s
the capacity of the glass with the cap a c i t y
of the Th e rm o s®. Is his reasoning corre c t ?
E x p l a i n .

Answers

Answer:

[tex]his \: reasoning \: is \: correct.[/tex]

Step-by-step explanation:

[tex]since \: the \: ratio \: of \: the \: glass \: to \:that \\ \: of \: the \: thermos \: is \: in \: the \: fraction : \\ \frac{2 7 0 mL }{1mL} \: which \: is \:270 mL : 1mL \\ then \: the \: keem \: is \: right.[/tex]

Write the equation of the line passing through the points (6,16) and (9,25).
First find the slope!

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1), where (x1, y1 ) and (x2, y2) are points on the line.

Plug in the 2 points:

(y2 - y1) / (x2 - x1)

(25 - 16) / (9 - 6)

9 / 3

= 3

So, the slope is 3. Plug this and a point into y = mx + b to find b:

y = mx + b

16 = 3(6) + b

16 = 18 + b

-2 = b

Then, plug in b and the slope into the equation:

y = mx + b

y = 3x - 2 is the equation of the line

Help ? anybody ion know any of these I’m sorry please give me the correct answer .

Answers


Since we have the answers, we can just go through the numbers and substitute them for x and see if we get 23.

Starting with your answer, you said the answer was 3.

If we substitute all the x’s with 3, then we end up with 23 if we add all the sides.

(This means your original answer, 3 , is correct.)

100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

y=5.8

x=10

Step-by-step explanation:

30\3=10

10-4.2=5.8

Answer:

x = 10 cm

y = 5.8 cm

Step-by-step explanation:

Area of a rectangle

[tex]\large\boxed{A=l\:w}[/tex]

where l is the length and w is the width.

From inspection of the given rectangle:

Width = 3 cmLength = x = y + 4.2 cmArea = 30 cm²

Substitute the given values of area, width and length into the formula and solve for x:

[tex]\begin{aligned}A&=l\:w\\\implies 30&=x \cdot 3\\3x&=30\\x&=10\end{aligned}[/tex]

Substitute the found value of x into the expression for length and solve for y:

[tex]\begin{aligned}y+4.2&=x\\y+4.2&=10\\y&=10-4.2\\\implies y&=5.8\end{aligned}[/tex]

24+26
[tex]25 + 52[/tex]

Answers

50 and 77
If combined then 127

what is 4.8367 rounded to the nearest hundredth

Answers

Answer:

4.84

Step-by-step explanation:

4.84 is the nearest hundredth number of 4.8367.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

4.8367 is a decimal number.

Four point eight three six seven is the given decimal number.

We have to round the decimal number to the nearest hundredth.

In the given decimal number the value at hundredth position is 3.

We need to follow the rules when rounding a decimal number.

if the last digit is less than 5, round the previous digit down.

if it's 5 or more than you should round the previous digit up.

In the given decimal number on right of 3 it is 6 which is more than 5. So we need to round the increase the value of 3 by 1 which makes it 4.

Hence 4.84 is the nearest hundredth number of 4.8367.

To learn more on Equation:

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20 POINTS PLEASE HELP!!!!! Charlie bought hamburgers and drinks for his coworkers. Each hamburger cost $3.75
and each drink cost 50 cents. In total, Charlie paid $25.50 for his order.
Write an equation that represents the relationship between the number of
hamburgers he bought, h, and the number of drinks he bought, d.

Answers

Answer:

3.75h + 0.5d = 25.50

Step-by-step explanation:

3.75h is $3.75 multiplied by h, the amount of hamburgers they buy. same goes for 0.5d it’s 50¢ multiplied by d, the amount of drinks they buy. then both those variables added has to equal $25.50 because that’s how much they spent total.

how do you find the solution to this inequality? please explain to me step by step how to do this
x - 8 > -3​

Answers

Answer:

x > 5

Interval form: (5, infinity)

Step-by-step explanation:

Just add 8 to both sides of the inequality:

x > 5

Therefore, x must be greater than 5.

If 6 bags of chocolate chips are needed to make 86 cookies, how many cookies can 8 bags chocolate chips make?

Answers

Answer:

114.666666667

Step-by-step explanation:

Step 1:

6/86 = 8/x        Equation

Step 2:

6x = 688        Multiply

Step 3:

x = 688 ÷ 6    Divide

Answer:

x = 114.666666667

Hope This Helps :)

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