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	19	21	23	37
Expected proportion	2/16	4/16	5/16	5/16

Determine the null and alternative hypotheses.

H0:

The observed frequencies agree with three of 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 the expected proportions.

H1:

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,

2.

2=enter your response here

(Round to three decimal places as needed.)Calculate the P-value.

P-value=enter your response here

(Round to four decimal places as needed.)What is the conclusion for this hypothesis test?

A.

Failtoreject

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

insufficient

evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions.

C.

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.

D.

Failtoreject

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.