The table below lists the number of games played in a yearly best-of-seven baseb

Question

The table below lists the number of games played in a yearly best-of-seven baseball championship series, along with the expected proportions for the number of games played with teams of equal abilities. Use a 0.05 significance level to test the claim that the actual numbers of games fit the distribution indicated by the expected proportions ames Played tual contests 4 20 6 24 7 35 18 4 16 Expected proportiorn 16 16 16 Determine the null and alternative hypotheses Calculate the test statistic, x. (Round to three decimal places as needed.) Calculate the P-value P-value = | | (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? 0 A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution 0 B. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution ° C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by 0 D. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by indicated by the expected proportions indicated by the expected proportions the expected proportions the expected proportions

Explanation / Answer

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: Oi
Expected: Ei

Hence,

Hypotheses;

Ho: The actual number of games fit the distribution indicated by the expected proportions.

H1: The actual number of games do not fit the distribution indicated by the expected proportions.

Test statistic = 8.765

P - value = 0.0326

Conclusion: Option C is correct.

N DF Chi-Square P-value 97 3 8.7649485 0.0326

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