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 200 96 169 211 676 Pro-Life 178 86 223 237 724 Totals 378 182 392 448 1400

The Test: Test whether or not there is a dependent relationship between abortion stance and region. Conduct this test at the 0.01 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 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.

using minitab>stat>tables>chi square test for association

we have

Chi-Square Test for Association: data, Worksheet columns

Rows: data Columns: Worksheet columns

East Midwest South West All

Pro-Choice 200 96 169 211 676
182.5 87.9 189.3 216.3
1.6741 0.7503 2.1729 0.1308

Pro-Life 178 86 223 237 724
195.5 94.1 202.7 231.7
1.5631 0.7005 2.0288 0.1222

All 378 182 392 448 1400

Cell Contents: Count
Expected count
Contribution to Chi-square

Pearson Chi-Square = 9.143, DF = 3, P-Value = 0.027
Ans a )

the null hypothesis is

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

(b) the value of the test statistic χ2 =9.14

(c)the P-value of the test statistic =0.027

(d) since p value is less than 0.05 so

reject H0

(e)

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

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