Test—CI connection In exercise 1, explain how the result of the 99% confidence interval in part b corresponds to the result of the decision using significance level 0.01 in part c.

Exercise 1

Time spent on Internet In 2006, the General Social Survey asked about the number of hours a week spent on the World Wide Web (variable denoted WWWTIME). Some results are as follows:

Group | N | Mean | StDev | SE Mean |

Male | 1196 | 6.2 | 9.9 | 0.285 |

Female | 1569 | 4.9 | 8.6 | 0.216 |

Difference = mu(Male) − mu(Female) | ||||

Estimate for difference: 1.3 | ||||

99% CI for difference: (0.4. 2.2) | ||||

T-Test of difference = 0 (vs not =): | ||||

T-value = 3.62 P-value = 0.000 |

a. Identify the response variable and explanatory variable. Indicate whether each variable is quantitative or categorical.

b. Report and interpret the 99% confidence interval shown for the difference between the population means for males and females.

c. Report and interpret the steps of the significance test comparing the two population means. Make a decision, using significance level 0.01.

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