5. Basic Computation: Test p₁ - p₂ For one binomial experiment, 200 binomial trials produced 60 successes. For a second independent binomial experiment, 400 binomial trials produced 156 successes. At the 5% level of significance, test the claim that the probability of success for the second binomial experiment is greater than that for the first. a. Compute the pooled probability of success for the two experiments. b. Check Requirements What distribution does the sample test statistic follow? Explain. c. State the hypotheses. d. Compute p₁-p₂ and the corresponding sample distribution value. e. Find the P-value of the sample test statistic. f. Conclude the test. g. Interpret the results.
5. Basic Computation: Test p₁ - p₂ For one binomial experiment, 200 binomial trials produced 60 successes. For a second independent binomial experiment, 400 binomial trials produced 156 successes. At the 5% level of significance, test the claim that the probability of success for the second binomial experiment is greater than that for the first. a. Compute the pooled probability of success for the two experiments. b. Check Requirements What distribution does the sample test statistic follow? Explain. c. State the hypotheses. d. Compute p₁-p₂ and the corresponding sample distribution value. e. Find the P-value of the sample test statistic. f. Conclude the test. g. Interpret the results.
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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Transcribed Image Text:5. Basic Computation: Test p₁ - p₂ For one binomial experiment, 200 binomial
trials produced 60 successes. For a second independent binomial experiment, 400
binomial trials produced 156 successes. At the 5% level of significance, test the
claim that the probability of success for the second binomial experiment is
greater than that for the first.
a. Compute the pooled probability of success for the two experiments.
b. Check Requirements What distribution does the sample test statistic
follow? Explain.
c. State the hypotheses.
d. Compute p₁-p₂ and the corresponding sample distribution value.
e. Find the P-value of the sample test statistic.
f. Conclude the test.
g. Interpret the results.
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