Conduct a test at the a-0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple randomsamplingTest whether PP2- The sample data are x, 120, n, 251, x₂ = 137, and n₂-312.(a) Choose the correct null and alternative hypotheses below.OA Ho: P₁P₂ versus H₁: P₁ P₂OB. Ho: P₁P₂ versus H₁: P₁ P₂OC. Ho: P₁0 versus H₁: P₁ #0OD. Ho: P₁ P₂ versus H₁: P₁ P₂(b) Determine the test statistic.z (Round to two decimal places as needed.)(c) Determine the P-value.The P-value is(Round to three decimal places as needed.)What is the result of this hypothesis test?OA. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ #P2-OB. Reject the null hypothesis because there is sufficient evidence to conclude that p₁ P2-OD. Do not reject the null hypothesis because there is not sufficient evidence conclude that p₁

Given that Sample sizes n1=120 , n2=137 Favorable cases x1=251 , x2=312

Answered: sampling and alternative hypotheses,…

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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For the given data, (a) find the test statistic, (b) find the standardized test statistic, (c) decide whether the standardized test statistic is in the relection region, and (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent. Claim: u,
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Match the hypothesis to the situation. Hypothesis: 1. Ho: p1=p2 2. Ho: p= .73 3. Ho: = 0 4. Ho: 11 = ₂ 5. Ho: =.73 Two sample mean, independent samples Two sample mean, dependent samples One sample mean One sample proportion Two sample proportion o [Choose | [Choose ] Hypothesis 3 None of the hypothesis Hypothesis 4 Hypothesis 2 Hypothesis 5 Hypothesis 1 € A ► n 3
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HW10Q3
We have provided a sample mean, sample size, and population standard deviation. In each case, use the one-mean z-test to perform the required hypothesis test at the 5% significance level. x = 24, n = 15, σ = 4, H0: μ = 22, Ha: μ<22
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