In a random sample of males, t 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. a. 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? OA. Ho: P₁ = P2 H₁: P₁ P2 O D. Ho: P₁ = P2 H₁: P₁ P2 OB. Ho: P₁ P2 H₁: P₁ P2 O E. Ho: P₁ H₁: P₁ P2 P2 OC. Ho: P₁ H₁: P₁ OF. Ho: P₁ H₁: P₁ P₂ P₂ P2 P₂
In a random sample of males, t 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. a. 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? OA. Ho: P₁ = P2 H₁: P₁ P2 O D. Ho: P₁ = P2 H₁: P₁ P2 OB. Ho: P₁ P2 H₁: P₁ P2 O E. Ho: P₁ H₁: P₁ P2 P2 OC. Ho: P₁ H₁: P₁ OF. Ho: P₁ H₁: P₁ P₂ P₂ P2 P₂
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
Related questions
Question
![### 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e2c67c3-55ad-4a91-97db-08b4cce36966%2Fe831b1ca-090b-4aa0-bfe1-92127c71ce46%2Fd5ln0uh_processed.jpeg&w=3840&q=75)
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 14 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL