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

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Pro-choice/Pro-life and Region of the Country:The results of a 2013 Gallup poll about people's position onabortion (pro-life or pro-choice) by region of the country aresummarized in the contingency table below.

Observed Frequencies: Oi's

  
  East    Midwest    South    West    Totals   
Pro?Choice    200  96    181    197    674   
Pro?Life    178  86    239    223    726   
Totals    378    182    420    420    1400   


The Test: Test whether or not there is a dependentrelationship between abortion stance and region. Conduct this testat the 0.05 significance level.

(a) What is the test statistic? Round your answer to 3decimal places.

?2

=  

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

reject H0fail to rejectH0     


(c) Choose the appropriate concluding statement.

We have proven abortion stance and region are independent. Theevidence suggests that there is a dependent relationship betweenabortion stance andregion.       There is notenough evidence to conclude that there is a dependent relationshipbetween abortion stance and region.

Answer & Explanation Solved by verified expert
4.5 Ratings (833 Votes)

ho: there is a independent relationship between abortion stance and region

h1: there is a dependent relationship between abortion stance and region

a)

Observed Frequencies
Column variable
Row variable east mid west south west Total
pro choice 200 96 181 197 674
pro life 178 86 239 223 726
Total 378 182 420 420 1400
Expected Frequencies
Column variable
Row variable east mid west south west Total
pro choice 181.98 87.62 202.2 202.2 674
pro life 196.02 94.38 217.8 217.8 726
Total 378 182 420 420 1400
(fo-fe)^2/fe
1.784374 0.801465 2.22275 0.133729
1.656568 0.74406 2.063545 0.124151

chisq = sum(Oi-Ei)^2/Ei = 9.531

b)

df = (r-1)*(c-1)= (2-1)*(4-1) = 3

critical value, chisq(0.05, df) = 7.814

With chisq(3) > chisq(0.05, df), I reject the null hypothesis

c)

since ho is rejected, the conclusion is that there is a dependent relationship between abortion stance and region.

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