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.