For one binomial experiment, 200 binomial trials produced 60 successes. For a second independent binomial experiment, 400

Question:

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) What does the sample test statistic follow?
Explain.
(c) State the hypotheses.
(d) Compute 1 - 2 and the corresponding sample test statistic.
(e) Find the P-value of the sample test statistic.
(f) Conclude the test.
(g) Interpret the results.
Distribution
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