Question: For one binomial experiment, 75 binomial trials produced 45 successes. For a second independent binomial experiment, 100 binomial trials produced 70 successes. At the 5%

For one binomial experiment, 75 binomial trials produced 45 successes. For a second independent binomial experiment, 100 binomial trials produced 70 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ.
(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.

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