This assignment illustrates the tests involving the two different C 2 tests cove

Question

This assignment illustrates the tests involving the two different C2 tests covered in sections 11.2 and 11.3.   Your solution will contain:
   - A clear statement of hypotheses
   - Statement of the test statistic and either p-value (or appropriate critical value)
   - Explicit statement of the statistical decision, along with a reason
   - A specific conclusion based on the statistical decision.

An instructor wishes to see if the way people obtain information is independent of their educational background. A survey of 400 high school and college graduates yielded this information. At a = 0.05, test the claim that the way people obtained information is independent of their educational background.

             TV      Newspaper      Other sources

High school                 159           90                  51

College                        27             42                   31

Explanation / Answer

here null hypothesis: the way people obtained information is independent of their educational background.

alternate hypothesis:the way people obtained information is dependent of their educational background.

here Chi stat =21.347

degree of freedom =(3-1)=2

and p value =0.0000

as p vlaue is less then 0.05 level we reject null hypothesis

and conclude that there is sufficient evidence to suggest   the way people obtained information is dependent of their educational background.

Observed O TV Newspaper Other Sources Total High school 159 90 51 300 College 27 42 31 100 Total 186 132 82 400 Expected E=rowtotal*column total/grand total TV Newspaper Other Sources Total High school 139.500 99.000 61.500 300 College 46.500 33.000 20.500 100 Total 186 132 82 400 chi square =(O-E)^2/E TV Newspaper Other Sources Total High school 2.726 0.818 1.793 5.337 College 8.177 2.455 5.378 16.010 Total 10.903 3.273 7.171 21.347

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