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 215 96 181 184 676 Pro-Life 191 86 239 208 724 Totals 406 182 420 392 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.

Tabulated Statistics: C1, Worksheet columns

Rows: C1   Columns: Worksheet columns

 East Midwest South West All Pro-Choice 215 96 181 184 676 196.0 87.9 202.8 189.3 Pro-Life 191 86 239 208 724 210.0 94.1 217.2 202.7 All 406 182 420 392 1400

Cell Contents
Count
Expected count

Chi-Square Test

 Chi-Square DF P-Value Pearson 9.813 3 0.020

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

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c) P-value = 0.020

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d) Reject Ho

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

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