The table provides the numbers of games of World Series contests along with the

Question

The table provides the numbers of games of World Series contests along with the expected proportions with teams of equal abilities. Use a 0.05 significance level to test the claim that observed frequencies agree with theoretical proportions. Does there appear to be enough evidence to support the claim that seven-game series occur more often than expected? Does there appear to be evidence to support the claim that seven-game series occur more often than expected? Yes, because there is not sufficient evidence to reject the null hypothesis. No, because there is not sufficient evidence to reject the null hypothesis. Yes, because there is sufficient evidence to reject the null hypothesis. No, because there is sufficient evidence to reject the null hypothesis.

Explanation / Answer

Null hypothesis: The proportions are is 3/16,3/16,4/16,6/16 respectively.

The alternative hypothesis is: At least one of the proportions in the null hypothesis is false.

The degrees of freedom=k-1=4-1=3

Now expected value is Ei=n*pi

E1=101*3/16=18.94

E2=101*3/16=18.94

E3=101*4/16=25.25

E4=101*6/16=37.875

The test statistic chi square is:

Sum over(Oi-Ei)^2/Ei

=(19-18.94)^2/18.94+…+(38-37.875)^2/37.875

=0.913

The P-Value is 0.82229. The result is not significant at p < 0.05.

B.No there is no sufficient evidence to reject the null.

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