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.

Respuesta :

After a comparison of females and males on the number of hours of a day that the subject watched the TV.

The hypotheses of a significance test to analyze whether the population means differ for females and males would be as follows:

(a) H0: μ1 = μ2 (the population means are equal for females and males)

Ha: μ1 ≠ μ2 (the population means are not equal for females and males)

(b) In order to conduct the significance test, we would need to calculate the t-statistic and the P-value. However, the question does not provide the necessary information to do so (e.g. sample means, standard deviations, sample sizes). Without this information, we cannot conduct the significance test and interpret the P-value.

(c) Without conducting the significance test, we cannot conclude anything about whether there is a gender difference in TV watching.

(d) Similarly, without conducting the significance test and calculating the confidence interval, we cannot determine whether the confidence interval would contain 0 or not.

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