In August 2002, 47% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent Gallup poll found that 437 of 1013 parents of children in grades K-12 were satisfied with the quality of education the students receive. Does this suggest the proportion of parents satisfied with the quality of education has decreased?

(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 α = 0.10 level of significance, determine the probability of making a Type II error if the true population proportion is 0.42. What is the power of the test?

(c) Redo part (b) if the true proportion is 0.46.