A publisher reports that 40% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 200 found that 31% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.

Answers

Answer 1

Answer:

[tex]p-value = 0.9953[/tex]

Step-by-step explanation:

Given

[tex]P = 40\%[/tex] --- proportion of population

[tex]n = 200[/tex] -- samples

[tex]p = 31\%[/tex] -- proportion of samples

Required

Determine the p value

First, calculate the standard deviation ([tex]\sigma[/tex])

[tex]\sigma = \sqrt{\frac{P*(1 - P)}{n}}[/tex]

[tex]\sigma = \sqrt{\frac{40\%*(1 - 40\%)}{200}}[/tex]

[tex]\sigma = \sqrt{\frac{0.40*(1 - 0.40)}{200}}[/tex]

[tex]\sigma = \sqrt{\frac{0.40*0.60}{200}}[/tex]

[tex]\sigma = \sqrt{\frac{0.24}{200}}[/tex]

[tex]\sigma = \sqrt{0.0012}[/tex]

[tex]\sigma = 0.0346[/tex]

Next, we calculate the z score

[tex]z = \frac{p - P}{\sigma}[/tex]

[tex]z = \frac{40\% - 31\%}{0.0346}[/tex]

[tex]z = \frac{9\%}{0.0346}[/tex]

[tex]z = \frac{0.09}{0.0346}[/tex]

[tex]z = 2.6012[/tex]

[tex]z \approx 2.60[/tex]

From the z table, the p value of [tex]z = 2.60[/tex] is: 0.9953

Hence:

[tex]p-value = 0.9953[/tex]


Related Questions

IF YOU ARE SMART DO THIS PROBLEM NOT PEOPLE WHO DONT WANN HELP



An aquarium holds 11.94 cubic feet of water, and 2.6 feet long and 1.4 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

3.28ft

Step-by-step explanation:

Rectangular Prism Formula:

l*w*d = v

(plug in values)

2.6*1.4*d=11.94

3.64*d=11.94

d = 3.28ft

Which statement about the reflection below is true?

Answers

Answer:

A

Step-by-step explanation:

took le test review and got that question right

Answer:

A

Step-by-step explanation:

got it right edge2021

PLS HELP ME AGAIN SMART PEOPLE I NEED A GOOD ANSWER PLSS IM CRYING

Answers

Answer:

1.b

2.d

Step-by-step explanation:

1.6(3x + 5) = 18x + 30 = 15x + 30 + 3x.

SO, the ? is equal to 30.

2. d

Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.) xe7x dx; u

Answers

Answer:

[tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Integration

Integrals

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

U-Substitution

Integration by Parts:                                                                                               [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]

[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, Trig

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int {xe^{7x}} \, dx[/tex]

Step 2: Integrate Pt. 1

Identify variables for integration by parts using LIPET.

Set u:                                                                                                             [tex]\displaystyle u = x[/tex][u] Basic Power Rule:                                                                                     [tex]\displaystyle du = dx[/tex]Set dv:                                                                                                           [tex]\displaystyle dv = e^{7x} \ dx[/tex][dv] Exponential Integration [U-Substitution]:                                             [tex]\displaystyle v = \frac{e^{7x}}{7}[/tex]

Step 3: integrate Pt. 2

[Integral] Integration by Parts:                                                                      [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \int {\frac{e^{7x}}{7}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{7} \int {e^{7x}} \, dx[/tex]

Step 4: Integrate Pt. 3

Identify variables for u-substitution.

Set u:                                                                                                             [tex]\displaystyle u = 7x[/tex][u] Basic Power Rule [Derivative Property - Multiplied Constant]:             [tex]\displaystyle du = 7 \ dx[/tex]

Step 5: Integrate Pt. 4

[Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {7e^{7x}} \, dx[/tex][Integral] U-Substitution:                                                                               [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{1}{49} \int {e^u} \, dx[/tex][Integral] Exponential Integration:                                                               [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^u}{49} + C[/tex][u] Back-Substitute:                                                                                       [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{xe^{7x}}{7} - \frac{e^{7x}}{49} + C[/tex]Factor:                                                                                                           [tex]\displaystyle \int {xe^{7x}} \, dx = \frac{e^{7x}}{7} \bigg( x - \frac{1}{7} \bigg) + C[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

What are the 4 main types of transformations?


translation


congruence


rotation


reaction


reflection


dilation (aka enlargement)


vertices

Answers

Answer:

The 4 main transformation is a translation, rotation, reflection, dilation.

Step-by-step explanation:

There are four main types of transformations: translation, rotation, reflection, and dilation. These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage.

15. If R is the midpoint of OS, OR = 8x - 51 and RS = 3x - 6, find QS.
15.


PLEASE HELP

Answers

Answer:

if you mean find OS, then:

OS = 42

Step-by-step explanation:

if you mean find OS, then:

8x-51 = 3x-6

5x = 45

x = 9

OS = 2(3x-6)

OS = 6x-12

substitute for x

OS = 6(9)-12 =42

Step-by-step explanation:

ok si esoes la respuesta corecta yo les digo niños por que yo soy una profesora de mate y se mas de mate que ustedes

1
2
Janice has 3 cups of flour. She makes 5 equal-sized portions from the flour.
8
She uses one of the portions to make crepes. Each crepe uses 45 of a cup of flour.
How many crepes does Janice make?
OA
75
B.
15
c.
OD
3

Answers

Answer:

B

Step-by-step explanation:

What is the equation of the line passing through the point ( 0,0), ( 2, 1), and ( -2, -1)

Answers

Answer:

so basic 0,0 is not proper so that would mean ( -2)Step-by-step explanation: its the awnser


What is the slope of the line

Answers

[tex]\frac{1}{2}[/tex] Or 2.

(Pretty sure it's the first option.)

Brainiest if correct? Ty!

What is 0.15 divided by 2.5? What is the answer?

Answers

Answer:

0.06 is the answer

Step-by-step explanation:

0.15÷2.5=0.06

Answer:  0.06

Ignore this text it is mandatory that I have at least 20 characters.

Based on the completed table above what is the value of f? ​

Answers

Answer:

0

Step-by-step explanation:

Answer:

0 is the best answer.

Step-by-step explanation:

Write the equation for a vertical line going through the point
(-4,1)

Answers

Answer:

x = -4

Step-by-step explanation:

a vertical line means it will cross only the x-axis, not the y-axis

wherever it cross the axis, that will be the point in your equation

example, a vertical line through the point (5, -10) has the equation x = 5

I want the answer only, Due now.

Answers

Answer:

Write the equation then try the equation with the numbers from choice A then go down. do all of them. which ever ends up equal is the right answer.

Step-by-step explanation:

I will do the math but you try it first, then ill do the math step by step in the comments, but only if you try it first. im trusting you to try.

PLEASE HELP, The diameter of a semicircle is 2 meters. What is the semicircle radius

Answers

Answer:

Step-by-step explanation:

d= 2r

therefore the radius is 1

please help it’s urgent don’t give me the wrong answer :(

Answers

Answer:

i dont know

Step-by-step explanation:

this is a new answer bc someone deleted my very helpful one

21=8+x (solve for x)

Answers

Answer:

X=13

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

21=8+x

Swap sides so that all variable terms are on the left hand side.

8+x=21

Subtract 8 from both sides.

x=21−8

Subtract 8 from 21 to get 13.

x=13

mayra has $2.95 in nickels and dimes. the number of dimes is 3 less than twice the number of nickels. find the number of nickels.

Answers

Answer:

Mayra has 13 nickels

Step-by-step explanation:

Given

Represent dimes with D and nickels with N.

So, from the first statement:

[tex]0.10D + 0.05N = 2.95[/tex]

From the second statement:

[tex]D = 2N - 3[/tex]

Required

Find N

Substitute 2N - 3 for D in [tex]0.10D + 0.05N = 2.95[/tex]

[tex]0.10(2N - 3) + 0.05N = 2.95[/tex]

Open bracket

[tex]0.10*2N - 0.10*3 + 0.05N = 2.95[/tex]

[tex]0.20N - 0.30 + 0.05N = 2.95[/tex]

Collect Like Terms

[tex]0.20N + 0.05N = 2.95+0.30[/tex]

[tex]0.25N = 3.25[/tex]

Make N the subject:

[tex]N = \frac{3.25}{0.25}[/tex]

[tex]N = 13[/tex]

Ivan started the week on page 35 of his book and read 20 pages each night. What page will Ivan be on if he reads for 8 nights?

Answers

Answer: he should be on page 195

Step-by-step explanation:

What is the range of f(x) = (3/4)^x -4?

Answers

Answer:

[tex]f\left(x\right)>-4[/tex]

Step-by-step explanation:

[tex]f\left(x\right)>k[/tex]

[tex]k=-4[/tex]

[tex]f\left(x\right)>-4[/tex]

Please help me to complete the impact on equity

Please answer

Answers

Answer:

Equity is same as equility it is for making students fools.

Step-by-step explanation:

Equity=Equality

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

PLS SHOW THE WORK!!!!!!!!

Answers

Answer:

1. x = - 1 -y over 2

2. x = -4(2+y) over 3

Step-by-step explanation:

Answer:

1. x = - 1 -y over 2

2. x = -4(2+y) over 3

:)

Help me pls I don’t want to fail math

Answers

Answer: They are proportional.

Explanation: To determine whether a table is proportional just simply notice if there is a number you can get to the next number.

Example: on the x values you multiply from left to right by 2 and get the next number. on the y values you multiply by 1. This table is proportional

Joey has 10 packs of gum. 1/5 of his pack are spearmint. How many of his packs are spearmint?
A. 2 packs
B. 10 packs
C. 1 pack
D. 5 packs​

Answers

Answer:

A. 2 packs

Step-by-step explanation:

The answer is : A 2packs

50 POINTS FOR THIS I WILL ALSO MARK BRAINLIEST

Points A and B have opposite x-coordinates but the same y-coordinates.

On a coordinate plane, point A is 2 units to the left and 3 units up. Point B is 2 units to the right and 3 units up.

How many units away are each of the points from the y-axis?
2
3
4
5
PLZ HURRY ITS TIMED

Answers

Answer:

I think 5

Step-by-step explanation:

Picture question middle school math

Answers

Answer:

[tex] \huge \: b) \: 59 \: i {n}^{2} [/tex]

Step-by-step explanation:

to understand thisyou need to know aboutarea of trianglesarea of rectanglePEMDAStips and formulas:rectangle opposite sides are equalarea of rectangle:l×warea of triangle:½×h×blet's solve:

the area of the rectangle is

4×7 in²

28 in²

the area of above triangle is

½×6×7 in²

3×7 in²

21 in²

the area of left side triangle is

½×5×4 in²

2×5 in²

10 in²

therefore,

the area of the polygon is

28+21+10 in²

59 in²

Espaol
A math class has 7 girls and 3 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an
eighth grader from the class for a competition. What is the probability that the students she selects are both girls?
Write your answer as a fraction in simplest form.
M

Answers

Answer:

61%

Step-by-step explanation:

7g+3b= 7th grade

4g+4b= 8th grade

70% chance of a girl getting picked from 7th grade

50% chance of a girl getting picked from 8th grade class

11g+7b= both classes

about 61% chance for both classes to be a girl picked?

Slope and equation
m = 4\5
(6,-5)

Answers

Answer:

[tex]y = \frac{4}{5} x -9.8[/tex]

Step-by-step explanation:

I hope this is what you were looking for.

Answer:

y=4/5x-9.8

Step-by-step explanation:

For this you would need to use point-slope form which is: y-y1=m(x-x1)

All you have to do is put in -5 for y1, 6 for x1, and 4/5 for m.

So, the equation should then be y+5=4/5(x-6)

Then, start by solving the right side of the equation by distributing 4/5 into (x-6)

This will then leave you with the equation, y+5=4/5x-24/5

Next, you have to subtract both sides by 5.

Once done, your final answer should be y=4/5x-9.8

Roger is 71.5 inches tall. How many centimeters tall is she?
1 inch = 2.54 cm
Do not use a label - just numbers.

Answers

Answer:

181.61 centemeters

Step-by-step explanation:

Answer:

181.61

Step-by-step explanation:

Make a proportion:

1 inch = 2,54 cm

71,5 inches = x cm

x = 71,5 * 2,54 = 181,61 cm

You do not need to draw the line of best fit, I just need the answers for the rest. Thanks!

Answers

Answer:

c

Step-by-step explanation:

find the equation of the line passing through the point (2, -4) that is parallel to the line y=3x+2​

Answers

Answer (assuming it can be put in point-slope format):

[tex]y + 4 = 3(x-2)[/tex]

Step-by-step explanation:

You can write an equation of a line when knowing its slope and a line it passes through using point slope formula, [tex]y-y_1 = m (x-x_1)[/tex].

1) First, find the slope of the equation. We know it has to be parallel to y = 3x + 2. Lines that are parallel have the same slope, thus the slope of y = 3x + 2 is the slope of the answer as well. y = 3x + 2 is in slope-intercept format, or [tex]y = mx + b[/tex]. The coefficient of the x term, or [tex]m[/tex], represents the slope - so, the slope must be 3.

2) Now, use point-slope formula,[tex]y-y_1 = m (x-x_1)[/tex],  to write the equation. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute 3 for [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line crosses through. The line crosses through (2, -4), so substitute 2 for [tex]x_1[/tex] and -4 for [tex]y_1[/tex]. This gives the following answer:

[tex]y - (-4) = 3 (x-(2))\\y + 4 = 3(x-2)[/tex]

Other Questions
Pls answer allllll! I really need it Which element of an original work can be changed in an adaptation? Theme. Story. Setting. Main idea. What tool does Twain use inthis excerpt from hisautobiographical narrative tomake it interesting?18- I lit in the middle of thefloor, shot there by theelectric suddenness of thesurprise.A. Character DescriptionB. ImageryC. Dialogue William Prescott was a leader for who? England Colonist 30 points!!Please help!!!!7+3^2(-5+1)divided by 2 mouse borrowed 6,000$ An African elephant weighed 209 lbs when it was born. Baby elephants gain an average of 38 lbs per week. How many weeks will it take for the baby elephant to weigh 1197lbs? Which constitutional amendment guarantees that all citizens receive equal protection under the law? A monster can eat 36 cookies in 9 minuets.How many cookies can the monster eat in 12 minuets? What is the circumference of the following circle? Hurry I am timed Which tiny, round factory puts together protein and is often found in the endoplasmic reticulum?ribosomechromosomeGolgi bodychloroplast In a bouquet of flowers, there are 3 daises and 14 roses, write the ratio of daises to roses in 3 different ways. The mass of an object is the measure of what characteristic of the object?O A. its volumeOB. the space it occupiesO c. the amount of matter it hasO D. its weightplease help asap first stage of economic development during which the economy is stagnant Which set of angles will be complimentary The Great Compromise settled a dispute between which two groups?A. States with small farms and states with large factories B. States with coastlines and states that were landlockedC. States with slaves and states without slaves D. States with small populations and states with large populations PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS SHOW THE WORK!!!!!!!! Skip's Dog Shelter rescues collies 3/4 of the collies are older than 10 and 1/3 of the remaining collies are between 3 and 5. If there are 2 dogs between the ages of 6 and 10. How many dogs are there in all at this rescue shelter? What is 1/2x28? I need help in a company, 37% of the 1500 employees are females work out the number of males in the company