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In: Statistics and Probability

The table below lists the number of games played in a yearly​ best-of-seven baseball championship​ series,...

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   17   0.125
5   21   0.25
6   21   0.3125
7   38   0.3125

Determine the null and alternative hypotheses.

Upper H 0H0​:

▼

The observed frequencies agree with 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.

The observed frequencies agree with three of the expected proportions.

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

sufficientsufficient

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

B.

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.

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.

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.

Click to select your answer(s).

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Expert Solution

orchestra answered 1 year ago
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