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In a random sample of males, it was found that 24 write with their left hands and 222 do not. In a random sample of females, it was found that 68 write with their left hands and 457 do 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. 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? O A. Ho P1 SPP2 H: P P2 O B. Ho: P1 +P2 H P1 =P2 OC. Ho P1 =P2 H P1 P2 O D. Ho P1 2P2 H P1 P2 VE. Ho: P1 =P2 H P,

In a random sample of males, it was found that 24 write with their left hands and 222 do not. In a random sample of females, it was found that 68 write with their left hands and 457 do 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. 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? O A. Ho P1 SPP2 H: P P2 O B. Ho: P1 +P2 H P1 =P2 OC. Ho P1 =P2 H P1 P2 O D. Ho P1 2P2 H P1 P2 VE. Ho: P1 =P2 H P,

MATLAB: An Introduction with Applications
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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9.1-3
**Hypothesis Testing for Left-Handedness** In a random sample of males, it was observed that 24 individuals write with their left hands, while 222 do not. In a corresponding sample of females, 68 write with their left hands, and 457 do not. Our objective is to determine, using a 0.01 significance level, whether the proportion of left-handedness among males is less than that among females. Please complete parts (a) through (c) as provided 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. We need to establish the null and alternative hypotheses for this hypothesis test: - **A.** \( H_0: p_1 \leq p_2 \) \( H_1: p_1 \neq p_2 \) - **B.** \( H_0: p_1 \neq p_2 \) \( H_1: p_1 = p_2 \) - **C.** \( H_0: p_1 = p_2 \) \( H_1: p_1 \neq p_2 \) - **D.** \( H_0: p_1 \geq p_2 \) \( H_1: p_1 \neq p_2 \) - **E.** (Selected) \( H_0: p_1 = p_2 \) \( H_1: p_1 < p_2 \) - **F.** \( H_0: p_1 = p_2 \) \( H_1: p_1 > p_2 \) **Identify the test statistic:** \[ z = \_\_ \] (Round to two decimal places as needed.) In this problem, option E is selected, indicating that the null hypothesis (\( H_0 \)) assumes the proportion of left-handedness in males and females is equal. The alternative hypothesis (\( H_1 \)) suggests that the proportion (\( p_1 \)) for males is less than that for females (\( p_2 \)). The task is to compute the test statistic (z-value) to validate these hypotheses.
Transcribed Image Text:**Hypothesis Testing for Left-Handedness** In a random sample of males, it was observed that 24 individuals write with their left hands, while 222 do not. In a corresponding sample of females, 68 write with their left hands, and 457 do not. Our objective is to determine, using a 0.01 significance level, whether the proportion of left-handedness among males is less than that among females. Please complete parts (a) through (c) as provided 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. We need to establish the null and alternative hypotheses for this hypothesis test: - **A.** \( H_0: p_1 \leq p_2 \) \( H_1: p_1 \neq p_2 \) - **B.** \( H_0: p_1 \neq p_2 \) \( H_1: p_1 = p_2 \) - **C.** \( H_0: p_1 = p_2 \) \( H_1: p_1 \neq p_2 \) - **D.** \( H_0: p_1 \geq p_2 \) \( H_1: p_1 \neq p_2 \) - **E.** (Selected) \( H_0: p_1 = p_2 \) \( H_1: p_1 < p_2 \) - **F.** \( H_0: p_1 = p_2 \) \( H_1: p_1 > p_2 \) **Identify the test statistic:** \[ z = \_\_ \] (Round to two decimal places as needed.) In this problem, option E is selected, indicating that the null hypothesis (\( H_0 \)) assumes the proportion of left-handedness in males and females is equal. The alternative hypothesis (\( H_1 \)) suggests that the proportion (\( p_1 \)) for males is less than that for females (\( p_2 \)). The task is to compute the test statistic (z-value) to validate these hypotheses.
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