MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.** 
  - \( H_0: p = 0.2 \)
  - \( H_1: p > 0.2 \)
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Transcribed Image Text: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
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Step 1

Given : 

sample size(n)=6963            X=number of surveys returned =1313   

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

 

p=Xn=13136963=0.1885p=0.1885P=0.2Q=1-P=1-0.2=0.8Q=0.8

 

Step 2

The null hypothesis  and alternative hypothesis is given by ,

H0 : p=0.2V/SH1 :p<0.2

Answer : Option  D. 

H0 : p=0.2V/SH1 :p<0.2

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