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

17

18

24

38

Expected proportion

2/16

4/16

5/16

5/16

Determine the null and alternative hypotheses.

Upper H 0H0 :

▼

Upper H 1H1 :

▼

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 squaredχ2.

chi squaredχ2equals=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.

RejectReject

Upper H 0H0.

There is

insufficientinsufficient

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

B.

Fail to rejectFail to reject

Upper H 0H0.

There is

insufficientinsufficient

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

C.

Fail to rejectFail to reject

Upper H 0H0.

There is

sufficientsufficient

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

D.

RejectReject

Upper H 0H0.

There is

sufficient sufficient

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

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.

Following table shows the calculations for chi square test statistics:

The test statistics is

Degree of freedom: df=4-1=3

The p-value is 0.0773

Since p-value is not less than level of significance so we fail to reject the null hypothesis.

B.

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.