MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![### Hypothesis Testing for Left-Handedness Among Males and Females
**Problem Statement:**
In a random sample of males, it was found that 22 write with their left hands and 220 do not. In a random sample of females, it was found that 73 write with their left hands and 449 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below.
---
#### Part (a): Formulating the Hypotheses
**Task: Test the claim using a hypothesis test.**
Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test?
---
**Hypothesis Options:**
- **Option A:**
\[ H_0: p_1 = p_2 \]
\[ H_1: p_1 > p_2 \]
- **Option B:**
\[ H_0: p_1 = p_2 \]
\[ H_1: p_1 \neq p_2 \]
- **Option C:**
\[ H_0: p_1 \le p_2 \]
\[ H_1: p_1 \neq p_2 \]
- **Option D:**
\[ H_0: p_1 = p_2 \]
\[ H_1: p_1 < p_2 \]
- **Option E:**
\[ H_0: p_1 \neq p_2 \]
\[ H_1: p_1 = p_2 \]
- **Option F:**
\[ H_0: p_1 \ge p_2 \]
\[ H_1: p_1 \neq p_2 \]
---
To proceed with hypothesis testing, the selection of the correct hypothesis pairs that match the claim being investigated is essential.
**Explanation:**
- \( p_1 \) represents the proportion of males who are left-handed.
- \( p_2 \) represents the proportion of females who are left-handed.
The claim to test is "the rate of left-handedness among males is less than that among females."
### **Correct Hypothesis Selection:**
Given the claim](https://content.bartleby.com/qna-images/question/8e2c67c3-55ad-4a91-97db-08b4cce36966/e831b1ca-090b-4aa0-bfe1-92127c71ce46/d5ln0uh_processed.jpeg)
Transcribed Image Text:### Hypothesis Testing for Left-Handedness Among Males and Females
**Problem Statement:**
In a random sample of males, it was found that 22 write with their left hands and 220 do not. In a random sample of females, it was found that 73 write with their left hands and 449 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below.
---
#### Part (a): Formulating the Hypotheses
**Task: Test the claim using a hypothesis test.**
Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test?
---
**Hypothesis Options:**
- **Option A:**
\[ H_0: p_1 = p_2 \]
\[ H_1: p_1 > p_2 \]
- **Option B:**
\[ H_0: p_1 = p_2 \]
\[ H_1: p_1 \neq p_2 \]
- **Option C:**
\[ H_0: p_1 \le p_2 \]
\[ H_1: p_1 \neq p_2 \]
- **Option D:**
\[ H_0: p_1 = p_2 \]
\[ H_1: p_1 < p_2 \]
- **Option E:**
\[ H_0: p_1 \neq p_2 \]
\[ H_1: p_1 = p_2 \]
- **Option F:**
\[ H_0: p_1 \ge p_2 \]
\[ H_1: p_1 \neq p_2 \]
---
To proceed with hypothesis testing, the selection of the correct hypothesis pairs that match the claim being investigated is essential.
**Explanation:**
- \( p_1 \) represents the proportion of males who are left-handed.
- \( p_2 \) represents the proportion of females who are left-handed.
The claim to test is "the rate of left-handedness among males is less than that among females."
### **Correct Hypothesis Selection:**
Given the claim
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