The points for each sub-question are shown in parentheses. As other homework assignment, there are 35 points for this assignment.

1. You believe that persons who grew up in small towns are more likely to vote Republican than those who grew up in large cities.

a. What is your research hypothesis and what is your null hypothesis?

b. When you test the hypothesis, would you use a one or two tailed test?

2. You have collected data from 61 students and found the following:

                                                                     Gender

Hours study per week:                                  Males                                   Females               Total

Mean                                                              10.5                                        18.4                        15.81

S², the variance                                            40                                           60                           90

N                                                                    20                                           41                           61

a. Test the null hypothesis that students at CMU study an average of 13 hours per week. Use the 0.05 level of significance. (2)Show your work.

b. Calculate the standard error, the standard deviation of the sampling distribution, of the difference between these the mean number of hours studied by males and females.

Assume equal variances for males and females.

c. Calculate the degrees of freedom for a test of difference of mean hoursstudied between males and females. Assume equal population variances.

d. What value of t would need to reject he null hypothesis that women study less than men? Use the 0.05 level of significance

e. Calculate the t statistic assuming equal population variances.

f. Would you reject the null hypothesis that women study less than men?

3. You believe that Catholics go to church services more often than Protestants You surveyed 200 Catholics and 300 Protestants and asked them how often they go to church services. Sixty percent of Catholics stated that they went to church services in the last month. Fifty percent of Protestants said they went to church services in the last month. From these data, can you conclude that your research hypothesis is true? That is can you reject the null hypothesis?
Set alpha = 0.05(8)

Show your work.

4. Using SPSS and the GSS2012 file,

a. Obtain frequencies for the variables HRS1 and Marital.

b. Conduct a difference of means test comparing the number of hours persons worked last week for those persons who were married with those who had never been married. (Ignore those who were widowed, divorced, or separated.)

c. Would you use the results assuming equal variance or unequal variance? Why?

d. What would you conclude from the results? Why?

Submit your SPSS output along with the answers to parts c and d.