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. Determine the null and alternative hypotheses. H_0: H_1: Calculate the test statistic, X^2. X^2 = (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? A. Reject H_0 There is sufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions. B. Fail to reject H_0. There is insufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions. C. Fail to reject H_0 There is sufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions. D. Reject H_0 There is insufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions.

Explanation / Answer

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: Actual contests
Expected: Expected contests

Hence,

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

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

Test statistic = 6.258

P value = 0.0997

Conclusion: Option B is correct.

N DF Chi-Square P-value 97 3 6.257732 0.0997

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