uppose that the prior probabilities in the above hypothesis-testing scenarioare not uniform but are rather equal to p0 and p1. Show that the success probability is insteadgiven bypsucc = 12 (1 + ‖p0ρ0 − p1ρ1‖1)

What is the p-value in hypothesis testing?a.The probability of committing a Type 1 errorb.The probability of committing a Type 2 errorc.The probability of observing the test statistic or more extreme values under the assumption that the null hypothesis is trued.The probability of observing the test statistic or more extreme values under the assumption that the alternative hypothesis is true

If we use  p to denote the probability of success, and, therefore, 1 − p is the probability of ""

Suppose we want to test the null hypothesis H0 : p = 0.28 against the alternative hypothesis H1 : p ≠ 0.28. Suppose also that we observed 100 successes in a random sample of 400 subjects and the level of significance is 0.05. What is the p-value for this test? Question 2Select one:a.0.05b.0.9563c.0.1802d.0.0901

What is the p-value in hypothesis testing?*1 pointa. The probability of making a Type I errorb. The probability of rejecting the null hypothesis when it's truec. The probability of failing to reject the null hypothesis when it's falsed. The level of significance for the test

Suppose we are conducting a hypothesis test with the following hypotheses:H0: p = 0.3H1: p < 0.3Furthermore suppose we take 20 samples and get 3 successes,calculate the p-value correct to 4dp.