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Calculate the appropriate test statistic

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Reference no: EM132479406

From the 2008 General Social Survey, females and males were asked about the number of hours a day that the subject watched TV. Females (n = 698) reported a mean of 3.08 hours with a standard deviation of 2.70 hours. Males (n = 626) reported a mean of 2.87 hours with a standard deviation of 2.61 hours. Test that the mean hours of TV watched by men and women is different from zero at the 5% significance level.

(A) What are the null and alternative hypotheses?

(B) Based on the significance level at which you are testing, what is (are) the critical value(s) for the test?

(C) Calculate the appropriate test statistic, showing all your work.

(D) Calculate the corresponding p-value from the appropriate table or online calculator.

(E) What conclusions can you draw from the hypothesis test? Be sure to comment on evidence from both the test statistic and p-value.

(F) Construct a 95% confidence interval around the difference-in-means estimate.

(G) How would you interpret the confidence interval? What connections can you draw between the confidence interval and the hypothesis test?

Reference no: EM132479406

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