For the 2015 General Social Survey, a comparison of females andmales on the number of hours a day that the subject watched TV gavethe following results.
| Group | n | Mean |
|---|
| Females | 500 | 3.09 |
| Males | 401 | 2.88 |
(a) Set up the hypotheses of a significance test to analyzewhether the population means differ for females and males.
| Ho:  1    ---Select---  =  notequal  >  <   2 |
| Ha:  1    ---Select---  =  notequal  >  <   2 |
(b) Conduct all parts of the significance test if df = 499 andstandard error = 0.163 . Interpret the P-value, and report theconclusion for α = 0.05.
| t | =Â Â (3 decimal places, positive value) |
| P-value | =Â Â (3 decimal places) |
(c) Conclusion
There is evidence that females, on average, watch more TV thanmales.There is not enough evidence to conclude that there is agender difference in TV watching.    There isevidence to conclude that there is a gender difference in TVwatching.
(d) If you were to construct a 95% confidence interval comparingthe means, would it contain 0?
No, because according to the test 0 is a plausible value for thedifference between the population means.Yes, because according tothe test 0 is not a plausible value for the difference between thepopulation means.    Yes, because according tothe test 0 is a plausible value for the difference between thepopulation means.No, because according to the test 0 is not aplausible value for the difference between the populationmeans.
