Question

# 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 208 104 169 197 678 Pro-Life 184 92 223 223 722 Totals 392 196 392 420 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 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.

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 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.

Null Hypothesis : The abortion stance and region are dependent. (i.e) there is a statistically significant difference between the abortion stance and the region.

Test statistic will be the omnibus chi-square statistic.

=9.879 ; p-value = 0.0196

Since the p-value is less than 0.05. we reject the null hypothesis. We conclude that there is no statistically significant difference between the abortion stance and the region. The abortion stance and region are independent.

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