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In: Statistics and Probability

Pro-choice/Pro-life and Region of the Country: The results of a 2013 Gallup poll about people's position...

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

East Midwest South West Totals
Pro-Choice   215   104     181     178     678  
Pro-Life   191   92     239     200     722  
Totals   406     196     420     378     1400  

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 independent variables.

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


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

χ2 =  

(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 H0

fail 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.

Solutions

Expert Solution

orchestra answered 2 years ago
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