Question

Support of Background Checks by Political Party: USE SOFTWARE - In April of 2013, the U.S. Senate did not pass a bill to expand background checks to all gun sales despite popular approval of the idea. Gallup conducted a poll on this issue with the question: Would you vote for or against a law to require background checks for all gun sales?. The results by political affiliation are summarized in the contingency table below.

Observed Frequencies: O_i's

	Republican	Independent	Democrat	Totals
For Checks	294	75	316	685
Against Checks	74	13	28	115
Totals	368	88	344	800

The Test: Test for a dependent relationship between party affiliation and opinion on expanded background checks. Conduct this test at the 0.01 significance level.

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

χ² =  

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

reject H₀

fail to reject H₀    

(c) Choose the appropriate concluding statement.

We have proven that opinion on expanded background checks and political affiliation are independent.

The evidence suggests that there is a dependent relationship between opinion on expanded background checks and party affiliation.     

There is not enough evidence to conclude that opinion on expanded background checks and political affiliation are dependent.

Answer 1