In 1994, 52% of parents of children in high school felt it was a serious problem that high school
students were not being taught enough math and science. A recent survey found that 256 of 800 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did in 1994?
(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,
determine the probability of making a Type II error if the true population proportion is 0.50. What is the power of the test?
(c) Redo part (b) if the true proportion is 0.48.