1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sleet_krkn [62]
3 years ago
10

A major DVD rental chain is considering opening a new store in an area that currently does not have any such stores. The chain w

ill open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with DVD players. It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have DVD players.
If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.25,

a.) State the null hypothesis

b.) State the alternative hypothesis

c.) What critical values should be used?

d.) What is the test statistic?

e.) What is the p-value?

f.) Interpret th emeaning of the p-value

g.) Should the null hypothesis be rejected?
Mathematics
1 answer:
Mariana [72]3 years ago
7 0
<h2>Answer with explanation:</h2>

Let p be the population proportion .

Then, p=\dfrac{5000}{20000}=0.25

According to the given information, we have

a)\ \text{Null hypothesis }H_0: p=0.25\\\\b)\ \text{Alternative hypothesis} H_a: p\neq0.25, since alternative hypothesis is two-tailed , so the hypothesis test is a two-tail test.

Since sample size is large (n> 30), we use z-test.

Let us consider 95% confidence i.e.\alpha=0.05.

c) Critical value = z_{\alpha/2}=\pm1.96

Sample proportion : \hat{p}=\dfrac{96}{300}=0.32

d) Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

i.e. z=\dfrac{0.32-0.25}{\sqrt{\dfrac{0.25(0.75)}{300}}}=2.8

e) P-value (for two-tail) : 2(Pz>2.8)=0.0051103

f) P-value is the probability value that we have falsely rejected the null hypothesis.

g) Since observed z-value (2.8) does not lie in critical interval (-1.96, 1.96), it means the null hypothesis is rejected.

You might be interested in
PLEASE HELP!! I will mark the brainliest!!!
const2013 [10]

Answer:

1. c  2. a  3. e  4. d (this one i am not 100% sure on) 5. b  6. i believe is d

Step-by-step explanation:

4 0
3 years ago
Are the equations sometimes, always, or never true?
AURORKA [14]
15 + 2x - 4 = 9x + 11 - 7x
2x + 11 = 2x + 11
always true

2x + 3(4x - 1) = 2(5x + 3) + 4x
2x + 12x - 3 = 10x + 6 + 4x
14x - 3 = 14x + 6
never true
4 0
3 years ago
A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling
solniwko [45]
Need help with this , u think u can help?

6 0
2 years ago
Read 2 more answers
Find the volume of this sphere.<br> Use 3 for TT.<br> V [?]in3<br> V = Tr3<br> 8 in
frutty [35]

Answer:

The volume of the sphere is 2048 in³.

Step-by-step explanation:

The volume of a sphere is given by:

V = \frac{4}{3}\pi r^{3}

Where:

r: is the radius = 8 in

Having the radius and by using 3 for π, the volume is:

V = \frac{4}{3}*3 (8 in)^{3} = 2048 in^{3}

Therefore, the volume of the sphere is 2048 in³.

I hope it helps you!        

4 0
3 years ago
If you multiply me by 2, then divide the answer by 2, then divide again by 2, you get a quotient of 5. What number am I?
Anuta_ua [19.1K]
The number is 10
10*2=20
20/2=10
10/2=5
3 0
3 years ago
Other questions:
  • Write a expression that matches the words three times the sum of 8 and 4
    5·1 answer
  • There is 1/4 ounce of yeast in every 2 and 1/4 teaspoons of yeast. A recipe for bread calls for 2 teaspoons of yeast. How many o
    6·1 answer
  • Dana buys and sells superhero themed shirts, jeans and designer dresses. She bought two shirts for $. each and later sold them f
    6·1 answer
  • PLEASE NEED HELP....I NEED TO FINISH IN ABOUT AN HOUR....PLEASE
    9·1 answer
  • Given that ΔPQR is similar to ΔPTS, what is the value of x?
    9·1 answer
  • Please help me!! -6+x/4=-5
    15·1 answer
  • Identify the domain of the function.
    10·1 answer
  • At the ice cream shop there are 14 shakes sold for every 6 malts. What is the ratio of malts to shakes? don't forget to simplify
    5·1 answer
  • Select the ordered pair that is a solution to the function. (A point on the line.)
    7·1 answer
  • Find the volume of the sphere on the right. Use 3.14 for
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!