Pro-Choice/Pro-Life and Region of the Country
The results of a 2013 Gallup poll about people's position on abortion (pro-life or pro-choice) by region in the country are summarized in the contingency table below.
|
|
East
|
Midwest
|
South
|
West
|
Totals
|
|
Pro-Life
|
212
|
106
|
176
|
188
|
682
|
|
Pro-Choice
|
184
|
94
|
231
|
215
|
724
|
|
Totals
|
396
|
200
|
407
|
403
|
1406
|
Please respond to one of the following questions, using the table above.
For whatever question you answer, make sure you show and explain your work.
1. Test whether or not there is a dependent relationship between abortion stance and region of the country. Conduct the test at the 0.10 significance level.
a) What is the n?
b) What is the df?
c) What is the null hypothesis? (Be specific - don't use generic wording.)
d) What is the alternate hypothesis? (Again, be specific - don't use generic wording.)
e) Calculate the expected frequencies, keeping the data organized in table format.
f) Calculate the chi-squared test statistic. Show your work.
g) Calculate the p-value.
h) Make a decision about whether to reject or fail to reject the null hypothesis by comparing the p-value to the criterion level. Again, make sure you avoid using generic wording. What specific null hypothesis are we rejecting or failing to reject?
i) Make a concluding statement about whether the variables are dependent or not. Be specific: Is the probability that a person is pro-choice or pro-life dependent on the region of the country where he/she lives or not?
2. Test whether or not there is a dependent relationship between abortion stance and region of the country. Conduct the test at the 0.05 significance level.
a) What is the n?
b) What is the df?
c) What is the null hypothesis? (Be specific - don't use generic wording.)
d) What is the alternate hypothesis? (Again, be specific - don't use generic wording.)
e) Calculate the expected frequencies, keeping the data organized in table format.
f) Calculate the chi-squared test statistic. Show your work.
g) Calculate the p-value.
h) Make a decision about whether to reject or fail to reject the null hypothesis by comparing the p-value to the criterion level. Again, make sure you avoid using generic wording. What specific null hypothesis are we rejecting or failing to reject?
i) Make a concluding statement about whether the variables are dependent or not. Be specific: Is the probability that a person is pro-choice or pro-life dependent on the region of the country where he/she lives or not?
3. Test whether or not there is a dependent relationship between abortion stance and region of the country. Conduct the test at the 0.01 significance level.
a) What is the n?
b) What is the df?
c) What is the null hypothesis? (Be specific - don't use generic wording.)
d) What is the alternate hypothesis? (Again, be specific - don't use generic wording.)
e) Calculate the expected frequencies, keeping the data organized in table format.
f) Calculate the chi-squared test statistic. Show your work.
g) Calculate the p-value.
h) Make a decision about whether to reject or fail to reject the null hypothesis by comparing the p-value to the criterion level. Again, make sure you avoid using generic wording. What specific null hypothesis are we rejecting or failing to reject?
i) Make a concluding statement about whether the variables are dependent or not. Be specific: Is the probability that a person is pro-choice or pro-life dependent on the region of the country where he/she lives or not?