For one binomial experiment, n, = 75 binomial trials produced r, = 30 successes. For a second independent binomial experiment, n, = 100 binomial trials produced ry = 50 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. (Round your answer to three decimal places.) (b) Check Requirements: What distribution does the sample test statistic follow? Explain. O The Student's t. The number of trials is sufficiently large. O The Student's t. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. O The standard normal. We assume the population distributions are approximately normal. (c) State the hypotheses. O Ho: P1 = P2; H1 : P1 > P2 O Ho: P1 = P2i H1: P1 * P2 O HO: P1