In a random sample of males, it was found that 20 write with their left hands and 211 do not. In a random sample of females, it was found that 57 write with their left hands and 452 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. ### Hypothesis Testing AssignmentIn a study on handedness, a random sample of males revealed that 20 males write with their left hand while 211 do not. In a comparable sample of females, 57 write with their left hand, and 452 do not. We aim to determine if the rate of left-handedness among males is less than that among females at a significance level of 0.05.### a. Hypothesis Testing**Hypothesis Selection:**Consider the first sample to be males and the second to be females. Select the appropriate null and alternative hypotheses:- **A.** \( H_0: p_1 = p_2 \) \( H_1: p_1 > p_2 \)- **B.** \( H_0: p_1 \neq p_2 \) \( H_1: p_1 = p_2 \)- **C.** \( H_0: p_1 \leq p_2 \) \( H_1: p_1 > p_2 \)- **D.** \( H_0: p_1 \geq p_2 \) \( H_1: p_1 < p_2 \)- **E.** \( H_0: p_1 \neq p_2 \) \( H_1: p_1 < p_2 \)- **F.** \( H_0: p_1 = p_2 \) \( H_1: p_1 < p_2 \)**Identify the Test Statistic:**- \( z = \quad \) (Round to two decimal places as needed.)**Identify the P-value:**- \( \text{P-value} = \quad \) (Round to three decimal places as needed.)**Conclusion on the Hypothesis Test:**- The P-value is (1) __________ the significance level \(\alpha = 0.05\), so (2) __________ the null hypothesis. There (3) __________ evidence to support the claim that the rate of left-handedness among males is less than among females.### b. Confidence Interval**90% Confidence Interval:**- The confidence interval is \( \langle \quad , \quad \rangle (p_1 - p_2) \) (Round to three

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In a random sample of males, it was found that 20 write with their left hands and 211 do not. In a random sample of females, it was found that 57 write with their left hands and 452 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.

In a random sample of males, it was found that 20 write with their left hands and 211 do not. In a random sample of females, it was found that 57 write with their left hands and 452 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.

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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