Question

In: Statistics and Probability

Support of Background Checks by Political Party: USE SOFTWARE - In April of 2013, the U.S....

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: Oi'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.

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