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 70 write with their left hands and 452 don not. Use a 0.01 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. z = -1.71 (Round to two decimal places as needed.) Identify the P-value. P-value= 0.044 (Round to three decimal places as needed.). What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a=0.01. so fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the rate of left-handedness among males is less than that among females. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is < (P-P₂) < (Round to three decimal places as needed.)
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 70 write with their left hands and 452 don not. Use a 0.01 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. z = -1.71 (Round to two decimal places as needed.) Identify the P-value. P-value= 0.044 (Round to three decimal places as needed.). What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a=0.01. so fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the rate of left-handedness among males is less than that among females. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is < (P-P₂) < (Round to three decimal places as needed.)
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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Question
![**Analysis of Left-handedness in Males and Females**
In a random sample of males, 22 out of 242 were found to write with their left hands. In a random sample of females, 70 out of 522 were left-handed. We want to test the claim that the rate of left-handedness among males is less than that among females using a 0.01 significance level. Below is the detailed analysis:
1. **Calculate the z-score:**
\[
z = -1.71
\]
*(Round to two decimal places as needed.)*
2. **Identify the P-value:**
\[
\text{P-value} = 0.044
\]
*(Round to three decimal places as needed.)*
3. **Conclusion Based on Hypothesis Test:**
Since the P-value is greater than the significance level (\(\alpha = 0.01\)), we fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the rate of left-handedness among males is less than that among females.
4. **Confidence Interval for the Difference in Proportions:**
The 98% confidence interval for \( (p_1 - p_2) \) is:
\[
Solution: \, \text{Enter interval values here}
\]
*(Round to three decimal places as needed.)*
This analysis indicates no statistically significant difference in the rates of left-handedness between males and females at the 0.01 significance level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0cfe99af-858f-4543-b9a0-7a6672bd27e7%2Fe7425a99-0655-4c3d-8236-b5470d792816%2Fzt8abf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Analysis of Left-handedness in Males and Females**
In a random sample of males, 22 out of 242 were found to write with their left hands. In a random sample of females, 70 out of 522 were left-handed. We want to test the claim that the rate of left-handedness among males is less than that among females using a 0.01 significance level. Below is the detailed analysis:
1. **Calculate the z-score:**
\[
z = -1.71
\]
*(Round to two decimal places as needed.)*
2. **Identify the P-value:**
\[
\text{P-value} = 0.044
\]
*(Round to three decimal places as needed.)*
3. **Conclusion Based on Hypothesis Test:**
Since the P-value is greater than the significance level (\(\alpha = 0.01\)), we fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the rate of left-handedness among males is less than that among females.
4. **Confidence Interval for the Difference in Proportions:**
The 98% confidence interval for \( (p_1 - p_2) \) is:
\[
Solution: \, \text{Enter interval values here}
\]
*(Round to three decimal places as needed.)*
This analysis indicates no statistically significant difference in the rates of left-handedness between males and females at the 0.01 significance level.
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