Using bootstrapping, we found a 95% confidence interval for the mean body temperature m to be 98.05 to 98.47. What is the conclusion of a test of H0: m = 98.6 vs Ha: m ¹ 98.6$? What significance level is used in making the conclusion?       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 a mother to grow up happily?” A 95% confidence interval is given below for p, the proportion of all US adults age 18 to 29 who say yes. Use the interval to determine the conclusion to a hypothesis test of H0: p = 0.5 vs Ha: p ¹ 0.5. In 2010, the 95% confidence interval was 0.487 to 0.573.

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Using bootstrapping, we found a 95% confidence interval for the mean body temperature m to be 98.05 to 98.47. What is the conclusion of a test of H0: m = 98.6 vs Ha: m ¹ 98.6$? What significance level is used in making the conclusion?

 

 

 

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 a mother to grow up happily?” A 95% confidence interval is given below for p, the proportion of all US adults age 18 to 29 who say yes. Use the interval to determine the conclusion to a hypothesis test of

H0: p = 0.5 vs Ha: p ¹ 0.5.

  • In 2010, the 95% confidence interval was 0.487 to 0.573.

 

 

  • In 1997, the 95% confidence interval was 0.533 to 0.607.

 

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