For the 2005 General Social Survey, a comparison of females and males on the num
ID: 3264717 • Letter: F
Question
For the 2005 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.
(a) Conduct all parts of the significance test if df = 506 and standard error = 0.161 . Interpret the P-value, and report the conclusion for = 0.05.
(b) Conclusion
-There is evidence that females, on average, watch more TV than males.
-There is not enough evidence to conclude that there is a gender difference in TV watching.
-There is evidence to conclude that there is a gender difference in TV watching.
(c) If you were to construct a 95% confidence interval comparing the means, would it contain 0? Answer based on the result of (b), without actually finding the interval
-Yes, because according to the test 0 is not 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 means.
-Yes, because according to the test 0 is a plausible value for the difference between the population means.
Group n Mean Females 507 3.07 Males 405 2.86Explanation / Answer
Answer:
For the 2005 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
507
3.07
Males
405
2.86
t = (3.07-2.86)/0.161 =1.304
t=1.304
(3 decimal places, positive value)
P-value
= 0.193 (3 decimal places)
(b) Conclusion
-There is evidence that females, on average, watch more TV than males.
Answer: -There is not enough evidence to conclude that there is a gender difference in TV watching.
-There is evidence to conclude that there is a gender difference in TV watching.
(c) If you were to construct a 95% confidence interval comparing the means, would it contain 0? Answer based on the result of (b), without actually finding the interval
-Yes, because according to the test 0 is not 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 means.
Answer: -Yes, because according to the test 0 is a plausible value for the difference between the population means.
Group
n
Mean
Females
507
3.07
Males
405
2.86