In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6963 subjects randomly selected from an online group inwolved with ears. There were 1321 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.

In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6963 subjects randomly selected from an online group inwolved with ears. There were 1321 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.

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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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

The test statistic is?

the p value is?

### Study of Cell Phone Usage and Brain Hemispheric Dominance

In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6963 subjects randomly selected from an online group involved with ears. There were 1321 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.

#### Identifying the Null Hypothesis and Alternative Hypothesis

- **Option A:**
- $H_0$: $ p > 0.2 $
- $H_1$: $ p = 0.2 $

- **Option B:**
- $H_0$: $ p = 0.2 $
- $H_1$: $ p \neq 0.2 $

- **Option C:**
- $H_0$: $ p = 0.2 $
- $H_1$: $ p > 0.2 $

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

- **Option E:**
- $H_0$: $ p = 0.2 $
- $H_1$: $ p < 0.2 $
- (Correct Answer is selected)

- **Option F:**
- $H_0$: $ p \neq 0.2 $
- $H_1$: $ p = 0.2 $

The correct option here is **Option E**, where the null hypothesis $ H_0 $ is $ p = 0.2 $ and the alternative hypothesis $ H_1 $ is $ p < 0.2 $. This setup aligns with testing the claim that the return rate is less than 20% using a 0.01 significance level.

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