Pro-choice/Pro-life and Region of the Country: The results of a 2013 Gallup poll

Question

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 of the country are summarized in the contingency table below.

Observed Frequencies: Oi's

The Test: Test whether or not there is a dependent relationship between abortion stance and region. Conduct this test at the 0.05 significance level.

(a) What is the null hypothesis for this test?

H0: Opinion on abortion and region of the country are dependent variables.H0: Opinion on abortion and region of the country are independent variables.     

(b) What is the value of the test statistic? Round to 3 decimal places unless your software automatically rounds to 2 decimal places.

2

=  

(c) Use software to get the P-value of the test statistic. Round to 4 decimal places unless your software automatically rounds to 3 decimal places.
P-value =  

(d) What is the conclusion regarding the null hypothesis?

reject H0fail to reject H0    

(e) Choose the appropriate concluding statement.

We have proven abortion stance and region are independent.The evidence suggests that there is a dependent relationship between abortion stance and region.    There is not enough evidence to conclude that there is a dependent relationship between abortion stance and region.

East Midwest South West Totals Pro-Choice   200   104     181     191     676   Pro-Life   178   92     239     215     724   Totals   378     196     420     406     1400  

Explanation / Answer

a) H0: Opinion on abortion and region of the country are independent variables.   

b) X2 = 9.80*

c) P value = 0.0203

d) Reject H0

e) The evidence suggests that there is a dependent relationship between abortion stance and region.

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