Eating Together In December 2001, 38% of adults with children under the age of 18

Chapter 10, Problem 12

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Eating Together In December 2001, 38% of adults with children under the age of 18 reported that their family ate dinner together 7 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 7 nights a week. Has the proportion of families with children under the age of 18 who eat dinner together 7 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 a = 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.

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