A. Identify the null and alternative hypothesis B. Compute the test statistic C. Find the critical values
A. Identify the null and alternative hypothesis B. Compute the test statistic C. Find the critical values
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A. Identify the null and alternative hypothesis
B. Compute the test statistic
C. Find the critical values
D. What is the conclusion based on the hypothesis test
![**Hypothesis Testing on Gender and Response Agreement**
**Table: Responses by Gender**
- **Men:**
- Women who agree: 526
- Women who disagree: 274
- **Women:**
- Women who agree: 312
- Women who disagree: 88
**Instructions:**
1. **Critical Values**
- Round to three decimal places as needed. Locate the critical value(s).
2. **Conclusion Based on the Hypothesis Test**
- Round to three decimal places as needed. Use a comma to separate answers if needed.
- Determine the conclusion from the hypothesis test:
- \( H_0 \): There __[is/is not]__ sufficient evidence to warrant rejection of the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women.
- Reason: The gender of the interviewer __[did/did not]__ affect the responses of women.
**Actions:**
- Click to select your answer(s).
**Visualization Details:**
- The image shows a dashboard on a laptop, displaying a question related to statistical hypothesis testing, focusing on the influence of interviewer's gender on response agreement. There are options to click for further interaction with the content.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0cb90495-7be7-4df7-831c-cee0d9583d28%2Fa8f6aa48-f05a-4fe6-8724-3927c5685dd7%2Fuee845n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing on Gender and Response Agreement**
**Table: Responses by Gender**
- **Men:**
- Women who agree: 526
- Women who disagree: 274
- **Women:**
- Women who agree: 312
- Women who disagree: 88
**Instructions:**
1. **Critical Values**
- Round to three decimal places as needed. Locate the critical value(s).
2. **Conclusion Based on the Hypothesis Test**
- Round to three decimal places as needed. Use a comma to separate answers if needed.
- Determine the conclusion from the hypothesis test:
- \( H_0 \): There __[is/is not]__ sufficient evidence to warrant rejection of the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women.
- Reason: The gender of the interviewer __[did/did not]__ affect the responses of women.
**Actions:**
- Click to select your answer(s).
**Visualization Details:**
- The image shows a dashboard on a laptop, displaying a question related to statistical hypothesis testing, focusing on the influence of interviewer's gender on response agreement. There are options to click for further interaction with the content.
![The image contains a statistical problem involving a chi-square test with data from a survey of women. Below is a transcription suitable for an educational website:
---
**Statistical Analysis: Gender of Interviewer and Response Consistency**
This exercise involves data gathered from a survey of women, with a focus on the gender of their interviewer (man or woman) and the subsequent responses given. Using a 0.01 significance level, our objective is to evaluate whether the proportions of agree/disagree responses are consistent across subjects interviewed by different genders. This analysis will help us understand if the gender of the interviewer influences the responses of women.
**Survey Data Overview:**
| Gender of Interviewer | Women who agree | Women who disagree |
|-----------------------|-----------------|--------------------|
| Man | 526 | 274 |
| Woman | 312 | 88 |
**Procedure:**
To tackle this problem, we'll identify the null and alternative hypotheses. Choose the correct hypothesis below:
A.
- \( H_0 \): The response of the subject and the gender of the subject are independent.
- \( H_1 \): The response of the subject and the gender of the subject are dependent.
B.
- \( H_0 \): The proportions of agree/disagree responses are the same for the subjects interviewed by men and those interviewed by women.
- \( H_1 \): The proportions are different.
C.
- \( H_0 \): The proportions of agree/disagree responses are different for the subjects interviewed by men and those interviewed by women.
- \( H_1 \): The proportions are the same.
---
Next, you will need to compute the test statistic. This involves calculating the expected frequencies and using the chi-square formula to assess the observed versus expected frequencies.
**Prompt for Student:**
Compute the test statistic and select the correct hypothesis for validation.
*Click to select your answer(s)*
[Save for Later]
---
This setup guides students to apply statistical methods to determine if interviewer gender affects responses, fostering a practical understanding of hypothesis testing in research contexts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0cb90495-7be7-4df7-831c-cee0d9583d28%2Fa8f6aa48-f05a-4fe6-8724-3927c5685dd7%2Fci5bmah_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains a statistical problem involving a chi-square test with data from a survey of women. Below is a transcription suitable for an educational website:
---
**Statistical Analysis: Gender of Interviewer and Response Consistency**
This exercise involves data gathered from a survey of women, with a focus on the gender of their interviewer (man or woman) and the subsequent responses given. Using a 0.01 significance level, our objective is to evaluate whether the proportions of agree/disagree responses are consistent across subjects interviewed by different genders. This analysis will help us understand if the gender of the interviewer influences the responses of women.
**Survey Data Overview:**
| Gender of Interviewer | Women who agree | Women who disagree |
|-----------------------|-----------------|--------------------|
| Man | 526 | 274 |
| Woman | 312 | 88 |
**Procedure:**
To tackle this problem, we'll identify the null and alternative hypotheses. Choose the correct hypothesis below:
A.
- \( H_0 \): The response of the subject and the gender of the subject are independent.
- \( H_1 \): The response of the subject and the gender of the subject are dependent.
B.
- \( H_0 \): The proportions of agree/disagree responses are the same for the subjects interviewed by men and those interviewed by women.
- \( H_1 \): The proportions are different.
C.
- \( H_0 \): The proportions of agree/disagree responses are different for the subjects interviewed by men and those interviewed by women.
- \( H_1 \): The proportions are the same.
---
Next, you will need to compute the test statistic. This involves calculating the expected frequencies and using the chi-square formula to assess the observed versus expected frequencies.
**Prompt for Student:**
Compute the test statistic and select the correct hypothesis for validation.
*Click to select your answer(s)*
[Save for Later]
---
This setup guides students to apply statistical methods to determine if interviewer gender affects responses, fostering a practical understanding of hypothesis testing in research contexts.
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