vintS. > To test Ho: p= 0.50 versus H, : p

To test Ho: p = 0.50 versus HI : p < 0.50, a simple random sample of n = 500 individuals is obtained and x = 235 successes are observed. (a) What does it mean to make a Type II error for this test? (b) If the researcher decides to test this hypothesis at the a = 0.05 level of significance, compute the probability of making a Type II error, B, if the true population proportion is 0.47. What is the power of the test? (c) Redo part (b) if the true population proportion is 0.42. (a) What does it mean to make a Type II error for this test? Choose the correct answer below. Ho is rejected and the true population proportion is greater than 0.50. Ho is not rejected and the true population proportion is equal to 0.50. Ho is rejected and the true population proportion is less than 0.50. Ho is not rejected and the true population proportion is less than 0.50.