For one binomial experiment,  n1 = 75 binomial trials produced  r1=45 successes. For a second independent binomial experiment, n2 = 100 binomial trials produced  r2 = 65 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ.   a) Compute p̂1 − p̂2 = _____ b) Compute the corresponding sample distribution value. (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) c) Find the P-value of the sample test statistic. Round your answer to four decimal places.

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