Question

In: Statistics and Probability

From the 2008 General Social Survey, females and males were asked about the number of hours...

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.

n 1 = n m a l e s = 626

n 2 = n f e m a l e s = 698

x ¯ 1 = x ¯ m a l e s = 2.87

x ¯ 2 = x ¯ f e m a l e s = 3.08

S x ¯ 1 = S x ¯ m a l e s = 2.61

S x ¯ 2 = S x ¯ fem a l e s = 2.70

(A.1) Calculate the appropriate test statistic. What is the standard error you calculated?

(A.2) Calculate the appropriate test statistic. What is the test statistic you calculated?

(B) Calculate the corresponding p-value from the appropriate table.

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

(D.1) Construct a 95% confidence interval around the difference-in-means estimate. Find the lower bound of the interval you calculated. (In this case, be sure to use the standard error you calculated when determining the test statistic that uses information about the population proportion.)

(D.2) Construct a 95% confidence interval around the difference-in-means estimate. Find the upper bound of the interval you calculated. (In this case, be sure to use the standard error you calculated when determining the test statistic that uses information about the population proportion.)

(E) How would you interpret the confidence interval?

(F) What connections can you draw between the confidence interval and the hypothesis test?

Solutions

Expert Solution


Related Solutions

From the 2008 General Social Survey, females and males were asked about the number of hours...
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. n 1...
From the 2008 General Social Survey, females and males were asked about the number of hours...
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...
1- From the 2008 General Social Survey, females and males were asked about the number of...
1- 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. n...
1- From the 2008 General Social Survey, females and males were asked about the number of...
1- 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)...
For the 2015 General Social Survey, a comparison of females and males on the number of...
For 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 504 3.07 Males 398 2.87 (a) Set up the hypotheses of a significance test to analyze whether the population means differ for females and males. Ho: 1 Correct: Your answer is correct. 2 Ha: 1 Correct: Your answer is correct. 2 (b) Conduct all parts of the significance...
For the 2015 General Social Survey, a comparison of females and males on the number of...
For 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 500 3.09 Males 401 2.88 (a) Set up the hypotheses of a significance test to analyze whether the population means differ for females and males. Ho:   1    ---Select---  =  not equal  >  <   2 Ha:   1    ---Select---  =  not equal  >  <   2 (b) Conduct all parts of the significance test if df = 499 and standard error = 0.163...
In the 2008 General Social Survey, participants were asked: “To what extent do you consider yourself...
In the 2008 General Social Survey, participants were asked: “To what extent do you consider yourself a religious person?” Of 2023 surveyed, 317 responded: “not at all.” (a) Construct a 95% confidence interval for the true proportion of US adults who would respond “not at all” to this question. (b) What is the margin of error for your confidence interval? (c) How large would the sample need to be to obtain a margin of error of ±1%?
When the 127 workers aged 18-25 in the 2008 General Social Survey were asked how many...
When the 127 workers aged 18-25 in the 2008 General Social Survey were asked how many hours they worked in the previous week, the mean was 37.47 with a standard deviation of 13.63. Test that the mean hours worked per week for this sample is different from a population mean of 40 hours worked per week at the 10% significance level. a) What is the appropriate test to conduct. -One-sample t-test for means One-sample t-test for proportions One-sample z-test for...
Respondents in the 2017 General Social Survey (GSS) were asked “on an average work day, about...
Respondents in the 2017 General Social Survey (GSS) were asked “on an average work day, about how many hours do you have to relax or pursue the activities that you enjoy?”. 244 males responded to the question and 262 females responded. Men reported an average of 3.28 hours per day (with a standard deviation of 2.12 hours) and women reported an average of 2.99 hours per day (sd=2.05). A. Calculate and interpret the 95% confidence interval for relaxation hours for...
Males and females were asked about what they would do if they received a $100 bill...
Males and females were asked about what they would do if they received a $100 bill by mail, addressed to their neighbor, but wrongly delivered to them. Would they return it to their neighbor? Of the 69 males sampled, 59 said yes and of the 131 females sampled, 120 yes. ON THE CALCULATOR TI-83 / TI-84 A: Does the data indicate that the proportions that said yes are different for males and females at a 5% level of significance? B:...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT