Identify the test statistic. Identify the P-value construct the 95% confidence interval for p1−p2
Identify the test statistic. Identify the P-value construct the 95% confidence interval for p1−p2
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
Identify the test statistic.
Identify the P-value
construct the 95% confidence interval for p1−p2
![In a random sample of males, it was found that 18 write with their left hands and 221 do not. In a random sample of females, it was found that 72 write with their left hands and 443 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?
- A. \(H_0: p_1 \neq p_2\)
\(H_1: p_1 = p_2\)
- B. \(H_0: p_1 \geq p_2\)
\(H_1: p_1 \neq p_2\)
- C. \(H_0: p_1 = p_2\)
\(H_1: p_1 < p_2\) (Selected)
- D. \(H_0: p_1 \leq p_2\)
\(H_1: p_1 \neq p_2\)
- E. \(H_0: p_1 = p_2\)
\(H_1: p_1 > p_2\)
- F. \(H_0: p_1 = p_2\)
\(H_1: p_1 \neq p_2\)
Identify the test statistic.
\(z = \square\)
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c1d0954-082a-48c1-b4d7-22ac9f1f697c%2F5b5353bc-d852-4254-ae75-88146a899b8e%2Fr5jwwwg_processed.png&w=3840&q=75)
Transcribed Image Text:In a random sample of males, it was found that 18 write with their left hands and 221 do not. In a random sample of females, it was found that 72 write with their left hands and 443 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?
- A. \(H_0: p_1 \neq p_2\)
\(H_1: p_1 = p_2\)
- B. \(H_0: p_1 \geq p_2\)
\(H_1: p_1 \neq p_2\)
- C. \(H_0: p_1 = p_2\)
\(H_1: p_1 < p_2\) (Selected)
- D. \(H_0: p_1 \leq p_2\)
\(H_1: p_1 \neq p_2\)
- E. \(H_0: p_1 = p_2\)
\(H_1: p_1 > p_2\)
- F. \(H_0: p_1 = p_2\)
\(H_1: p_1 \neq p_2\)
Identify the test statistic.
\(z = \square\)
(Round to two decimal places as needed.)
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