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	20	20	20	38
expected proportion	2/16	4/16	5/16	5/16

Ho:     A. The observed frequencies agree with two of the expected proportions.

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

         C. The observed frequencies agree with the expected proportions.

          D. The observed frequencies agree with three of the expected proportions.

Answer Ho: ________

H1:   A. The observed frequencies agree with two of the expected proportions.

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

         C. The observed frequencies agree with the expected proportions.

          D. The observed frequencies agree with three of the expected proportions.

Answer H1: ________

Calculate the test statistic,?

?2.

?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. Fail to reject H0. 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. Reject H0. 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. Fail to reject 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.

D. Reject 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.

Answer 1

Here we need to use goodness of fit test.

Ho:     A. The observed frequencies agree with two of the expected proportions.

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

         C. The observed frequencies agree with the expected proportions.

          D. The observed frequencies agree with three of the expected proportions.

Answer Ho:   C. The observed frequencies agree with the expected proportions.

H1:   A. The observed frequencies agree with two of the expected proportions.

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

         C. The observed frequencies agree with the expected proportions.

          D. The observed frequencies agree with three of the expected proportions.

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

Let's use excel for calculation:

The formula use on the above excel sheet are as follows:

A. Fail to reject H0. 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. Reject H0. 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. Fail to reject 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.

D. Reject 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.

the correct option is "B. Reject H0. There is sufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions."