In December 2001, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. In a recent poll, 403 of 1122 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Has the proportion

of families with children under the age of 18 who eat dinner together seven nights a week 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 0.35. What is the power of the test?

(c) Redo part (b) if the true proportion is 0.32.