Mathematics High School

Community Involvement Claim: Three-fourths of all adults believe that it is important to be involved
in their communities. Based on a USa Today/Gallup poll of 1021 randomly selected adults, 89%
believe that it is important to be involved in their communities. find the value of the test statistic.

Answers

Answer 1

Using the z-distribution, it is found that the value of the test statistic is z = 10.33.

At the null hypothesis, it is tested if the proportion is of [tex]\frac{3}{4} = 0.75[/tex], hence:

[tex]H_0: p = 0.75[/tex]

At the alternative hypothesis, it is tested if the proportion is different, that is:

[tex]H_1: p \neq 0.75[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

For this problem, the parameters are: [tex]p = 0.75, \overline{p} = 0.89, n = 1201[/tex]

Hence:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.89 - 0.75}{\sqrt{\frac{0.75(0.25)}{1021}}}[/tex]

[tex]z = 10.33[/tex]

A similar problem is given at https://brainly.com/question/24330815

Related Questions

pleaseeee help??????​

Answers

A is the associative property of addition

A force of 75 N at an angle of 15° to the direction of motion moves a chair 3 m. Which change would result in more work being done on the chair?

Answers

Answer:

Reducing the angle to where the force is more in line with the direction of motion.

Step-by-step explanation:

Work is commonly defined as force * distance. Since the 75N force is not acting directly in line with the direction of motion (15 degrees offset), we are not utilizing the full 75 N in moving the object. By reducing the angle of offset, we allow more of the force to be used in moving the object and therefore increase the amount of work being done.

Answer:

Decreasing the angle to 10

Step-by-step explanation:

If EF = 2x + 5 and FG = x + 9, what is EF?

Answers

Answer:

2- × 5

Step-by-step explanation:

Calculate the measure of the arc PQ.

Answers

Answer:

arc PQ = 124°

Step-by-step explanation:

The inscribed angle PRQ is half the measure of its intercepted arc PQ, so

arc PQ = 2 × 62° = 124°

Answer:

  124°

Step-by-step explanation:

Inscribed angle PRQ is half the measure of intercepted arc PQ.

  1/2(PQ) = 62°

  PQ = 124° . . . . . . multiply by 2

It takes Steve 13 minutes to get to work every morning. Steve spends 48% of the time stuck in traffic on the drive. How many minutes does Steve spend stuck in traffic?

Answers

Answer:

6.24

Step-by-step explanation:

13 * .48

Find the solution set for 15 + 6y > 0, y ∈ . Represent the solution set on the number
line.

Answers

Step-by-step explanation:

6y>0-15 collect like term

6y=-15 calculate the difference

y=-15/6 convert to lowest form

y=-5/2

i hop it helps you ❤

1. Is c=71 a solution to the equation 56 = c - 15 ?
2.Is x = 28 a solution to the equation x + 42 = 70 ?
3. Is m = 83 a solution to the equation m - 32 = 49 ?

Answers

Answer:

1. Yes

2. Yes

3. No

Step-by-step explanation:

please help i dont want to fail final exam
Determine the linear equation modeled by the graph.

Answers

Answer:

liner equation

Step-by-step explanation:

do nothing

the system of equations are y=-2x=3 and y=x is graphed what is the soultions to the system of equations

Answers

Answer:

y=1

Step-by-step explanation:

Answer:

x=-1, y=-1

Step-by-step explanation:

Because -2x-3 and x are both equal to y, we set them equal to each other and solve for x:

-2x-3=x

-3=3x

-1=x

x=-1

So, because y=x, then y=-1 as well

y=-4(5)x for x=2 Evaluate the problem

Answers

Answer:

y = - 100

Step-by-step explanation:

Assuming you mean

y = - 4[tex](5)^{x}[/tex] ← substitute x = 2

y = - 4[tex](5)^{2}[/tex] = - 4 × 25 = - 100

I need the function for the volume of the box for number 1

Answers

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height.  Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height.  Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.

Which situation is NOT a linear function?
A. A video subscription service which charges $7.99 a month
B. A factory worker that gets paid $19 an hour
C. A $350,000 house that depreciates 4% per year
D. A gym membership that charges $7 when joining, and $12 a month

Answers

Answer:

C

Step-by-step explanation:

If you take 4% away from 350,000, it equals 336000. Divide this number by 350000, and you get 96%, which makes sense. But, if you take 4% away from 336000, it equals 322560. If you take 322560 divided by 350000, it equals 92.16%. This proves it is not linear, because if it was linear, the ending percentage would be exactly 92% since you took away 4% twice.

Emma and her 3 friends were thirsty so she shared 1/2 gallon of lemonade equally among 4 people. How much did each purdon get


1/8
1/4
1/2
4

Answers

Answer:

1/4

Step-by-step explanation:

its kinda hard to

explain

please helpppppppppp​

Answers

Answer:

the ANSWER IS D

Step-by-step explanation:

because its multiplication

30% of the parks have a pool. If there are 9 parks with pools, how many parks are there altogether?

Answers

Answer:

30 parks

Step-by-step explanation:

9÷0.3=30 parks

Given that f(x) = x² + 5x, evaluate f(-2).If g(x)=2x + 1, find g(a + h)- g(a).

Answers

[tex]\\ \sf\longmapsto f(x)=x^2+5x[/tex]

[tex]\\ \sf\longmapsto f(-2)=(-2)^2+5(-2)[/tex]

[tex]\\ \sf\longmapsto f(-2)=4-10[/tex]

[tex]\\ \sf\longmapsto f(-2)=-6[/tex]

.#2

[tex]\\ \sf\longmapsto g(x)=2x+1[/tex]

[tex]\\ \sf\longmapsto g(a)=2a+1[/tex]

[tex]\\ \sf\longmapsto g(a+h)=2(a+h)+1[/tex]

.Now

[tex]\\ \sf\longmapsto g(a+h)-g(a)[/tex]

[tex]\\ \sf\longmapsto 2(a+h)+1-2a-1[/tex]

[tex]\\ \sf\longmapsto 2a+2h+1-2a-1[/tex]

[tex]\\ \sf\longmapsto 2h[/tex]

Find the surface area of the prism.
6.5 ft.
6 ft
8 ft.
5 ft
The surface area is
square feet.

Answers

Answer:

the BIG B (big base) is 2(5*6)*½ which is 30.

the bottom is 8*5 which is 40.

the sides are 8*6.5 which is 52 TIMES TWO becuase there is another WHICH IS 104.

30+40+104=174 SQUARE FEET

The angle of elevation to a nearby tree from a point on the ground is measured to be
73°. How tall is the tree if the point on the ground is 28 feet from the tree? Round
your answer to the nearest tenth of a foot if necessary.

Answers

Answer:91.6

Step-by-step explanation:

The height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.

The angle of elevation is given 73°. The distance between the point on the ground and the tree is 28 feet.

What is a trigonometric function?

In mathematics, the trigonometric function is a function that deals with the sides of the right-angled triangle and angles.

sin, cos, tan, cosec, sec, and cot are the basic function of trigonometric.

We know that tan Ф = perpendicular / Base

tan 73° = h / 28

tan 73° × 28 = h

3.27 × 28 =h

h = 91.5 ft

Therefore, the height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.

Learn more about a trigonometric function;

brainly.com/question/6904750

PLEASE HELP! WILL MARK BRAINLIEST!!!

Answers

AnswerAnswers in explaination

Step-by-step explanation

PART A ANSWER: equation 1) y=1155x+982 and 2) y+100x+1000 both have x model the number of years and y model the investment they made.

PART B answer: The two equations I solved for above

Part C: if she goes with the first plan and invest for 20 years she'll get 24082 dollars and if she invest in the second one she'll get 3000 dollars. As you can see there is a huge difference between the two

What is the range of this graph?

Answers

Answer:

I think the answer is (-3,1)

(-3,1] is the correct one

Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?

Answers

Answer:

a box of 10 balls for $9?

Step-by-step explanation:

because u buy 10 tennis balls for 9 dollars and the first one is not true

becuase u buy 3 balls of tennis with 3 dollars and the last answer is right

becuase you buy 10 balls for 9 that means its 1 dollar less for 10 balls

hope it helps

what is 1/4+3/8+1/2+5/8+3/4+7/8+1+1 1/4

Answers

Answer:

5.625 which is 5 5/8.

Step-by-step explanation:

PLEASE HELP I BEG IMMA FAILLLLLLLLL

In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 21 feet long with a wingspan of 17.5 feet. If the finished model will be 12 inches long, what will the wingspan be?

Answers

Answer:

2 inches make a foot, therefore the scale model is 1/21 the size of the actual if you're using the information given above. so the wingspan should be 10

Hope I Helped You:)

Please help me with this

Answers

Answer:

y = 2x

Step-by-step explanation:

A direct proportion follows the equation:

y = kx,'where k is the slope.

We see in the graph the points (0, 0) and (1, 2).

The slope is (2 - 0)/(1 - 0) = 2/1 = 2

The formula is y = 2x.

Answer: y = 2x

Answer:

y=2x

Step-by-step explanation:

When using slope intercept find the  slope using either the graph or points on the line and that get you the 2 that in front of x.

the formula means that 2 units of dough are prepared in every hour

Solve using elimination 5x+7y=9
2x-3y=-37

Answers

Answer:

x = -8

y = 7

Step-by-step explanation:

5x + 7y = 9

2x - 3y = -37

1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)

10x + 14y = 18 (multiplied by 2)

10x - 15y = -185 (multiplied by 5)

2.) Then, subtract the entirety of one equation to isolate the y-value.

10x + 14y = 18

-10x + 15y = 185

3.) Add and subtract values and divide to find y.

29y = 203

y = 7

4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.

15x + 21y = 27

14x - 21y = -259

29x = -232

x = -8

..................................

Answers

Answer: 35 dots

Step-by-step explanation:

Which of the following is statement is TRUE about mixed numbers?
A. A whole number and an improper fraction.
B. A whole number and a mixed forms.
C. A whole number and a proper fraction.
D. A whole number, remainder and similar fraction

Answers

The answer should be C. Examples of mixed numbers: 1 2/3; 3 6/7; 2 12/18. Hope this helps. Note: If I’m right can I have brainliest ?

Answers please ASAP!!!

Answers

-1/-1=1
(-4/5)/-1= 4/5
(-2/5)/-1= 2/5
(4/5)/-1= -4/5
1/-1= -1

The solution is x < -2/5

original price of a cd is 12.50. what is the price with a discount of 39%

Answers

Answer:

original price of a cd is 12.50. what is the price with a discount of 39%

Step-by-step explanation:

8 is 16% of (blank) please help (:

Answers

Answer:

50

Step-by-step explanation:

8% of 100 is 8 now divide 100 by 2 since it is 16% and it is 8

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