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. Games Played 4 5 6 7 Actual contests 18 22 21 38 Expected proportion two sixteenths four sixteenths five sixteenths five sixteenths Determine the null and alternative hypotheses. Upper H 0​: ▼ The observed frequencies agree with the expected proportions. The observed frequencies agree with three of the expected proportions. The observed frequencies agree with two of the expected proportions. At least one of the observed frequencies do not agree with the expected proportions. Upper H 1​: ▼ The observed frequencies agree with the expected proportions. At least one of the observed frequencies do not agree with the expected proportions. The observed frequencies agree with two of the expected proportions. The observed frequencies agree with three of the expected proportions. Calculate the test​ statistic, chi squared. chi squaredequals nothing ​(Round to three decimal places as​ needed.) Calculate the​ P-value. ​P-valueequals nothing ​(Round to four decimal places as​ needed.) What is the conclusion for this hypothesis​ test? A. Reject Upper 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 Upper 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.. C. Reject Upper 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. D. Fail to reject Upper 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.

4	5	6	7
18	22	21	38
2/16	4/16	5/16	5/16

Answer 1

H0 : The observed frequencies agree with the expected proportions.

H1 : At least one of the observed frequencies do not agree with the expected proportions.

D. Fail to reject Upper H0. There is insufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions.