Example 2: Happy Family?The Pew Research Center asked a random sample of US adults age 18 to 29 ``Does a child need both a father and amother to grow up happily?” A 95% confidence interval is given below for p, the proportion of all US adults age 18to 29 who say yes. Use the interval to determine the conclusion to a hypothesis test of H0: p = 0.5 vs Ha: p 0.5.
(b) In 1997, the 95% confidence interval was 0.533 to 0.607.
Quick Self-Quiz: Intervals and TestsUsing the confidence interval given, indicate the conclusion of the test and indicate the significance level used.(a)A 95% confidence interval for a mean is 12.5 to 17.1.