2 The table below lists the number of games played in a year

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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 Actual_contests Expected_proportion
4 18 0.125
5 18 0.25
6 24 0.3125
7 36 0.3125

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=_____(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.

Solution

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 Actual_contests Expected_proportion
4 18 0.125
5 18 0.25
6 24 0.3125
7 36 0.3125

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.

Calculate the test statistic= 6.900 (Round to three decimal places as needed.)

Calculate the P-value.

P-value= 0.0752 (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.

Calculations

observed

P

expected = p*96

4

18

0.125

12

5

18

0.25

24

6

24

0.3125

30

7

36

0.3125

30

96

1

96

Goodness of Fit Test

observed

expected

O - E

(O - E)

	observed	P	expected = p*96
4	18	0.125	12
5	18	0.25	24
6	24	0.3125	30
7	36	0.3125	30
	96	1	96