Consider the hypothesis test.Ho: P1-P₂ ≤0Ha: P₁-P₂ > 0The following results are for independent samples taken from the two populations.Sample 1 Sample 2n₁ = 200P₁7₂= 0.22P2(a) Calculate the test statistic. (Round your answer to two decimal places.)= 300=0.16What is the p-value? (Round your answer to four decimal places.)p-value =(b) With a = 0.05, what is your hypothesis testing conclusion?O Do not reject Ho. There is insufficient evidence to conclude that p₁ - P₂ > 0.Do not Reject Ho. There is sufficient evidence to conclude that p₁ - P₂ > 0.Reject Ho. There is sufficient evidence to conclude that p₁ - P₂ > 0.Reject Ho. There is insufficient evidence to conclude that P₁ - P₂ > 0.

Null Hypothesis: H0:p1-p2≤0 Alternative Hypothesis: Ha:p1-p2>0 First sample: Sample size (n1) =…

Answered: Consider the hypothesis test. Ho: 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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A fitness trainer is interested in investigating whether ethnicity and the first exercise activity that members engage in are dependent. The table below shows the results of the trainer's observation of randomly selected members. Frequencies of Ethnicity and Exercise Activity Weight Machines White Hispanic Black Other Cardio 84 84 68 48 98 97 51 70 O Homogeneity O Independence Free Weights 81 98 69 41 What can be concluded at the α = 0.05 significance level? a. What is the correct statistical test to use? O Goodness-of-Fit Paired t-test b. What are the null and alternative hypotheses? Ho: O Ethnicity and first exercise activity are dependent. O Ethnicity and first exercise activity are independent. O The distribution of first exercise activity is not the same for each ethnicity. O The distribution of first exercise activity is the same for each ethnicity. H₁: O The distribution of first exercise activity is the same for each ethnicity. O Ethnicity and first exercise activity are…
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Consider the hypothesis test. Ho: P1-P₂ ≤0 Ha: P₁ P₂ > 0 The following results are for independent samples taken from the two populations. Sample 1 n₁ = 200 P₁ = 0.22 Sample 2 n₂ = 300 P₂ = 0.16 (a) Calculate the test statistic. (Round your answer to two decimal places.)