Support of Background Checks by PoliticalParty: In April of 2013, the U.S. Senate did not pass abill to expand background checks to all gun sales despite popularapproval of the idea. Gallup conducted a poll on this issue withthe question: Would you vote for or against a law to requirebackground checks for all gun sales?. The results by politicalaffiliation are summarized in the contingency table below.

Observed Frequencies:O_i's

	Republican	Independent	Democrat	Totals
ForChecks	294	68	310	672
Against Checks	74	12	42	128
Totals	368	80	352	800

The Test: Test for a dependent relationshipbetween party affiliation and opinion on expanded backgroundchecks. Conduct this test at the 0.05 significance level.

(a) What is the null hypothesis for this test?

H₀: Party affiliation and opinion onexpanded background checks are independent variables.H₀: Party affiliation and opinion on expandedbackground checks are dependentvariables.      

(b) What is the value of the test statistic? Round to 3decimal places unless your software automatically rounds to 2decimal places.

?²

=  

(c) Use software to get the P-value of the test statistic.Round to 4 decimal places unless your softwareautomatically rounds to 3 decimal places.
P-value =  

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

reject H₀fail to rejectH₀     

(e) Choose the appropriate concluding statement.

We have proven that opinion on expanded background checks andparty affiliation are independent.The evidence suggests that thereis a dependent relationship between party affiliation and opinionon expanded background checks.     Thereis not enough evidence to conclude that party affiliation andopinion on expanded background checks are dependent.