A consumer advocacy group wants to determine whether there is a difference between the proportions of the two leading automobile models that need major repairs (more than $500) within two years of their purchase. A sample of 400 two-year owners of model 1 is contacted, and a sample of 500 two-year owners of model 2 is contacted. The numbers x1 and x2 of owners who report that their cars needed major repairs within the first two years are 53 and 78, respectively. What is the p-value of the appropriate test of hypotheses

Answers

Answer 1

Answer:

The answer is "0.3206".

Step-by-step explanation:

[tex]H_0: p_1 = p_2\\\\H_a: p_1 \neq p_2\\\\\hat{p_1} = \frac{X_1}{N_1} = \frac{53}{400} = 0.1325\\\\\hat{p_1}= \frac{X_2}{N_2} = \frac{78}{500}= 0.156\\\\\hat{p} = \frac{(X_1 + X_2)}{(N_1 + N_2)} = \frac{(53+78)}{(400+500)} = 0.1456[/tex]

Testing statistic:

[tex]z = \frac{(\hat{p_1}- \hat{p_2})}{\sqrt{(\hat{p} \times (1-\hat{p}) \times (\frac{1}{N_1} + \frac{1}{N_2}))}}[/tex]

[tex]=\frac{(0.1325-0.156)}{\sqrt{(0.1456\times (1-0.1456)\times (\frac{1}{400} + \frac{1}{500}))}}\\\\ = -0.99[/tex]

Calculating the P-value Approach

[tex]\text{P-value}= 0.3206[/tex]


Related Questions

Question 3 of 10
On a piece of paper, graph this system of inequalities. Then determine which
region contains the solution to the system.

Answers

Answer:

Step-by-step explanation:

SEVEN

two congruent squares are shown in figures 1 and 2 below

Answers

Answer:

Equal to, c^2, a^2+b^2, a^2 + b^2 = c^2

Answer:

The combined area of the shaded triangles in Figure one is equal to the combined area of the shadead triangles in figure 2. The area of the unshaded square in Figure 1 can be represented by c^2. The combined area of the two unshaded squares in Figure 2 can be represented by a^2+b^2. The areas of the squares in Figure 1 and Figure 2 who that a^2+b^2=c^2.

Step-by-step explanation:

I'm right and if you think I'm wrong then you're wrong

Answer this question please ASAP!!

Answers

A or the first answer shown

Answer:

No it is not close to half of the data below the mean and half the data above the mean

Point D has coordinates (8,3). Point G has coordinates (-4,3). What is the length of segment DG?

Answers

Answer:

0

Step-by-step explanation:

Coolin

Select the correct answer from each drop-down menu.
The area of a rectangle is 91 square inches. If the length of the rectangle is 1 less than twice its width, write an equation that could be used to find the width, w, of the rectangle.

Answers

Answer:

(2w^2) + (-1w) + (-91)

Step-by-step explanation:

The equation that can be used to find the width, w, of the rectangle with the given area is: 2w² - w - 91 = 0.

What is the Area of a Rectangle?

Area pf a rectangle = length × width

Given the following:

Area of rectangle = 91 in.²Width = wLength of the rectangle = 2w - 1

Equation for finding w, using the area formula, would be:

(2w - 1)(w) = 91

2w² - w - 91 = 0

Therefore, the equation that can be used to find the width, w, of the rectangle with the given area is: 2w² - w - 91 = 0.

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50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

sorry to burst your bubble but thats 5 ponits

Step-by-step explanation:

Find the median of these numbers ? 2,7,5,4,3

Answers

Answer:

4

Step-by-step explanation:

MARK AS BRAINLIST!!

Answer:

4.

Step-by-step explanation:

The median is the 'middle number.'

In order to find the median of a data set, you must first put the numbers in numerical order.

2, 7, 5, 4, 3

       ↓

2, 3, 4, 5, 7

The 'middle number' in this data set is 4.

Therefore, the median is 4.

F(x) =X+4
g(x) = 3x² -7
Find (f-g) (x)

Algebra 2 sem 1

Answers

Answer:

[tex]B. ~(f+g)(x)=6x^3+4x-2[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2+4x-5[/tex]

[tex]g(x)=6x^3-2x^2+3[/tex]

[tex]Find~(f+g)(x)[/tex]

[tex]=2x^2+4x-5+6x^3[/tex]

[tex]-2x^2+3[/tex]

[tex](f+g)(x)=6x^3+4x-2[/tex]

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

hope it helps....

have a great day!!

Pleaseee helppp I have no cluee!!!

Answers

Answer:

the correct answer is Victoria's answer

What is the answer?

Answers

Answer:

x^2(x-5)

Step-by-step explanation:

f(x)=x-5

g(x)=x^2

g(f(x)=?

x^2(f(x)=?

x^2(x-5)

If this helps please mark as brainliest

9514 1404 393

Answer:

  D.  (x -5)²

Step-by-step explanation:

Replace the variable with the function argument.

  G(F(x)) = G(x -5) = (x -5)² . . . . . matches choice D

Suppose that 10% of the fields in a given agricultural area with about 2,500 fields are infested with the sweet potato white fly. One hundred fields in this area are randomly selected and checked for whitefly.

Required:
a. What is the average number of fields sampled that are infested with whitefly?
b. Within what limits would you expect to find the number of infested fields, with probability approximately 95%?
c. What might you conclude if you found that x=25 fields were infested? Is it possible that one of the characteristics of a binomial experiment is not satisfied in this experiment? Explain.

Answers

Answer:

a. 250 fields

b. 220 to 280 fields

c. Fields are not independent

Step-by-step explanation:

a. The average number of fields sampled that are infested with whitefly =

number of fields X Percentage sampled, 10%

= 2500 X 10% = 250 fields

b.  Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance

σ = √nab

= √na(1-a) = √2500 X 10% X (1- 10%)

= √225 = 15

Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large

μ - 2σ = 250 - 2(15) = 220

μ + 2σ = 250 + 2(15) = 280

Approximately 220 to 280 fields are expected to be infested going by 95% probability observation

c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

20?

Step-by-step explanation:

Answer: 8.9

Step-by-step explanation:

To find the hypotenuse, use the formula [tex]a^2 + b^2 = c^2[/tex]

The two "legs" are a and b (it doesn't matter which leg is a and which leg is b), but the most important thing is that the hypotenuse is c.

So, we now know that we have to solve for c. To solve for c, substitute the values shown in the image for a and b.

[tex]a^2 + b^2 = c^2[/tex]

[tex]8^2+4^2=c^2[/tex]

[tex]16 + 64 = c^2[/tex]

[tex]80 = c^2[/tex]

[tex]\sqrt{80}[/tex] = c

Use a calculator, and after rounding, you get 8.9

How many solutions would the following system of equations have? y=3x+2, and y=3x-4 is it 0, 1 or infinite ?

Answers

There are no solutions

Use OZ with VW – XY
What is XY ?

A 30
B. 35
C. 40
D 50

Answers

Answer:

40

Step-by-step explanation:

From the diagram;

VW = 2(20)

VW = 40

Simce VW is similar to XY, hence VW = XY = 40

Hence the length of XY is 40

Which correctly describes a cross section of the square pyramid? Select three options. A square pyramid with 2 foot sides. A cross section parallel to the base is a square with side lengths of 2 ft. A cross section parallel to the base is a square with side lengths of less than 2 ft. A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid. A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid. A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.

Answers

Answer:

Step-by-step explanation:

A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid.

A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.

its C and D i think good luck people

<3

Question 6
What is the missing value of the following synthetic division?

Answers

Answer:

Hello!

16

Step-by-step explanation:

Because

-5+16=11

Write the word sentence as an inequality a number b is less than 15​

Answers

I’m sure the answer is B < 15

Angles and are supplementary. Find the measure of angle C

Answers

Answer:

Angle C = 106 degrees

Step-by-step explanation:

I'm thinking the question should read "Angles a and C are supplementary" (software error, not yours)

Supplementary angles add up to 180 degrees

180 - 74 = 106 degrees

Use the circle below for questions 13-16

Answers

Answer:

What circle? and where are the questions?

attach the files to the question you are trying to find the answer to

A triangle has vertices of (-3,3),(-3,2), and (1,-2). What are the coordinates after dilating from the origin by a scale factor of 1/2?

Answers

Answer:

The coordinates after a dilating the triangle by a factor of 1/2 would be (-1.5, 1.5), (-1.5, 1) and (0.5, -1), respectively.

Step-by-step explanation:

Since we are dilating from the origin of the graph, (0, 0), all we need to do is multiply each vertex by the given scale factor.

A pitcher contains 2 liters of liquid. Jin pours 368 milliliters of this liquid into a test tube.


How much liquid is left in the pitcher?


Enter your answer in the box.

Answers

Answer:

1,632 liters of liquid remain in the pitcher.

Step-by-step explanation:

Given that a pitcher contains 2 liters of liquid, and Jin pours 368 milliliters of this liquid into a test tube, to determine how much liquid is left in the pitcher the following calculation must be performed:

368 milliliters = 0.368 liters

2 - 0.368 = X

1.632 = X

Therefore, 1,632 liters of liquid remain in the pitcher.

What is the volume of the rectangular prism?
50 POINTS

Answers

Answer:

A

Step-by-step explanation:

What type of angles are 4 and 5

Answers

Answer:

Alternate interior angles.

The types of angles 4 and 5 represent alternate interior angles. If angles 4 and 5 are alternate interior angles, it means they are formed by a transversal intersecting two parallel lines

Alternate interior angles are located on opposite sides of the transversal and inside the pair of parallel lines.

Alternate interior angles are a pair of angles that are formed when a transversal intersects two parallel lines. These angles are located on opposite sides of the transversal and are found between the parallel lines. More specifically, alternate interior angles are formed by two non-adjacent interior angles.

When two parallel lines are intersected by a transversal, four pairs of alternate interior angles are created. Each pair consists of two angles—one angle on the interior of one of the parallel lines and another angle on the interior of the other parallel line. These angles are said to be "alternate" because they are located on alternate sides of the transversal.

The key property of alternate interior angles is that they are congruent, meaning they have the same measure. This property holds true regardless of the orientation of the parallel lines or the transversal.

To know more about  alternate interior angles. here

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What is sin 49° to the nearest tenth?

Answers

Answer:

sin49= 0.7

Step-by-step explanation:

Find the volume of the cone. Round to the nearest tenth.
10 mm
9 mm
Volume:
mm3

Answers

the volume is 235.6 mm^3

Simplify 3x^(1/2)*5x^(2/5)

Answers

Answer:

= 15x^9/10

Step-by-step explanation:

Multiply the numbers: 3 . 5 = 15

= 15x^1/2x2/5

Apply exponent rule: a^b . A^c = a^b + c

= 15x^1/2+2/5

1/2 + 2/5 = 9/10

= 15x^9/10

m and p are complementary angles m/M = 56, and m/P = 2x + 4. Write and solve an equation to find the value of x.

Answers

This equilibrium of the brain cells can transfer deeply throughout earth core

Angle measure labeled a
The arc mesure labeled c

Answers

Step-by-step explanation:

angle measure a =48/2=24°

the arc measure =360°-48°=312°

stay safe healthy and happy.

Can you please help me

Answers

9514 1404 393

Answer:

x = 95°y = 75°arc ABC = 150°

Step-by-step explanation:

The relevant relations are ...

an inscribed angle is half the measure of the arc it interceptsopposite angles of an inscribed quadrilateral are supplementary

__

Using the second relation, ...

  x = 180° -85° = 95°

  y = 180° -105° = 75°

Using the first relation, ...

  arc ABC = 2y = 2(75°) = 150°

stan bought 5lbs of raisins at $3.55/lb . if he wanted to but 4 more pounds of a different kind of raisins to make the average price per pound equals to $3.23 what price should he pay for the additional 4lb?

Answers

Answer:

$2.83

Step-by-step explanation:

5lb × $3.55/lb + 4lb × x = 9 lb ×$3.23/lb

$17.75 + 4lb(x) = $29.07

-$17.75. -$17.75

4lb(x) = $11.32

___________

4lb. 4lb

x = $2.83

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