The 2015 General Social Survey, a comparison of females and males on the number of hours a day that the subject watched TV gave the following results. Group n Mean
Females 503 3.14
Males 395 2.90
(a) Set up the hypotheses of a significance test to analyze whether the population means differ for females and males.
H0: μ1 μ2
Ha: μ1 μ2 (b) Conduct all parts of the significance test if df=502 and standard error=0.163. Interpret the P-value, and report the conclusion for α=0.05.
t=(3 decimal places, positive value) P-value=(3 decimal places) (c) Conclusion - There is not enough evidence to conclude that there is a gender difference in TV watching.
- There is evidence that females, on average, watch more TV than males. - There is evidence to conclude that there is a gender difference in TV watching. (d) If you were to construct a 95% confidence interval comparing the means, would it contain 0? - Yes, because according to the test 0 is a plausible value for the difference between the population means. - No, because according to the test 0 is a plausible value for the difference between the population means. - No, because according to the test 0 is not a plausible value for the difference between the population me - Yes, because according to the test 0 is not a plausible value for the difference between the population means.