We wish to test the null hypothesis that the proportion of job applicants who falsify information on their job applications is equal to 0.35 versus the alternative hypothesis that the proportion is greater than 0.35 using a = 0.05. What conclusions do you draw regarding the proportion if the p-value for this test is 0.029? O Fail to reject the null. There is insufficient evidence to conclude that the proportion of job applicants who falsify information on their job applications is greater than 0.35. O Reject the null. There is sufficient evidence to conclude that the proportion of job applicants who falsify information on their job applications is greater than 0.35. O Fail to reject the null. There is sufficient evidence to conclude that the proportion of job applicants who falsify information on their job applications is greater than 0.35. O Reject the null. There is insufficient evidence to conclude that the proportion of job applicants who falsify information on their job applications is greater than 0.35.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
2
**Hypothesis Testing on Job Application Accuracy**

**Problem Statement:**
We wish to test the null hypothesis that the proportion of job applicants who falsify information on their job applications is equal to 0.35 versus the alternative hypothesis that the proportion is greater than 0.35. The significance level for this test is set at α = 0.05.

**Question:**
What conclusions do you draw regarding the proportion if the p-value for this test is 0.029?

**Options:**

1. **Fail to reject the null.** There is insufficient evidence to conclude that the proportion of job applicants who falsify information on their job applications is greater than 0.35.

2. **Reject the null.** There is sufficient evidence to conclude that the proportion of job applicants who falsify information on their job applications is greater than 0.35.

3. **Fail to reject the null.** There is sufficient evidence to conclude that the proportion of job applicants who falsify information on their job applications is greater than 0.35.

4. **Reject the null.** There is insufficient evidence to conclude that the proportion of job applicants who falsify information on their job applications is greater than 0.35.

**Conclusion:**
Given that the p-value (0.029) is less than the significance level (α = 0.05), we reject the null hypothesis. Therefore, there is sufficient evidence to conclude that the proportion of job applicants who falsify information on their job applications is greater than 0.35.
Transcribed Image Text:**Hypothesis Testing on Job Application Accuracy** **Problem Statement:** We wish to test the null hypothesis that the proportion of job applicants who falsify information on their job applications is equal to 0.35 versus the alternative hypothesis that the proportion is greater than 0.35. The significance level for this test is set at α = 0.05. **Question:** What conclusions do you draw regarding the proportion if the p-value for this test is 0.029? **Options:** 1. **Fail to reject the null.** There is insufficient evidence to conclude that the proportion of job applicants who falsify information on their job applications is greater than 0.35. 2. **Reject the null.** There is sufficient evidence to conclude that the proportion of job applicants who falsify information on their job applications is greater than 0.35. 3. **Fail to reject the null.** There is sufficient evidence to conclude that the proportion of job applicants who falsify information on their job applications is greater than 0.35. 4. **Reject the null.** There is insufficient evidence to conclude that the proportion of job applicants who falsify information on their job applications is greater than 0.35. **Conclusion:** Given that the p-value (0.029) is less than the significance level (α = 0.05), we reject the null hypothesis. Therefore, there is sufficient evidence to conclude that the proportion of job applicants who falsify information on their job applications is greater than 0.35.
Expert Solution
Step 1: Introducing the given information

From the given information

The null and alternative hypothesis are 
H0 : p =  0.35
H1: p  > 0.35

Significance level (alpha) = 0.05

p-value = 0.029


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