b. The test statistic is z =c. The P-value isChoose the correct answers below:Because the p-value isless than;greater than;the significance level,fail to reject;reject;the null hypothesis. There issufficient;insufficient; In a study of cell phone usage and brain hemispheric dominance, an Internet survey was emailed to 6,963 subjects randomly selected from an online group involved with ears. There were 1,313 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.Identify the null hypothesis and alternative hypothesis.Options:- **A.** - $ H_0: p = 0.2 $ - $ H_1: p \neq 0.2 $- **B.** - $ H_0: p < 0.2 $ - $ H_1: p = 0.2 $- **C.** - $ H_0: p \neq 0.2 $ - $ H_1: p = 0.2 $- **D.** - $ H_0: p = 0.2 $ - $ H_1: p < 0.2 $- **E.** - $ H_0: p > 0.2 $ - $ H_1: p = 0.2 $- **F.** - $ H_0: p = 0.2 $ - $ H_1: p > 0.2 $

Name: b. The test statistic is z =c. The P-value isChoose the correct answe
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Description: b. The test statistic is z =c. The P-value isChoose the correct answers below:Because the p-value isless than;greater than;the significance level,fail to reject;reject;the null hypothesis. There issufficient;insufficient; In a study of cell phone us

Answered: b. The test statistic is z = c. The…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

b. The test statistic is z =

c. The P-value is

Choose the correct answers below:

Because the p-value is

less than;
greater than;

the significance level,

fail to reject;
reject;

the null hypothesis. There is

sufficient;
insufficient;

In a study of cell phone usage and brain hemispheric dominance, an Internet survey was emailed to 6,963 subjects randomly selected from an online group involved with ears. There were 1,313 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.

Identify the null hypothesis and alternative hypothesis.

Options:
- **A.**
- $ H_0: p = 0.2 $
- $ H_1: p \neq 0.2 $

- **B.**
- $ H_0: p < 0.2 $
- $ H_1: p = 0.2 $

- **C.**
- $ H_0: p \neq 0.2 $
- $ H_1: p = 0.2 $

- **D.**
- $ H_0: p = 0.2 $
- $ H_1: p < 0.2 $

- **E.**
- $ H_0: p > 0.2 $
- $ H_1: p = 0.2 $

- **F.**
- $ H_0: p = 0.2 $
- $ H_1: p > 0.2 $

Expert Solution

Step 1

Given :

$s a m p l e s i z e (n) = 6963 X = n u m b e r o f s u r v e y s r e t u r n e d = 1313$

Here we use normal distribution as an approximation to the binomial distribution

$p = \frac{X}{n} = \frac{1313}{6963} = 0.1885 p = 0.1885 P = 0.2 Q = 1 - P = 1 - 0.2 = 0.8 Q = 0.8$

Step 2

The null hypothesis and alternative hypothesis is given by ,

$H_{0} : p = 0.2 V / S H_{1} : p < 0.2$

Answer : Option D.

$H_{0} : p = 0.2 V / S H_{1} : p < 0.2$

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