The table below lists the number of games played in a yearly? best-of-seven base

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.
Determine the null and alternative hypotheses. Upper H 0H0?: The observed frequencies agree with the expected proportions. Upper H 1H1?: At least one of the observed frequencies do not agree with the expected proportions. Calculate the test? statistic, chi squared?2. chi squared?2equals= nothing ?(Round to three decimal places as? needed.)

games played actual contestants expected proportion 4 19 2/16 5 18 4/16 6 23 5/16 7 35 5/16

Explanation / Answer

The following table is obtained:

Chi square test statistic = 8.124

Categories Observed Expected (fo-fe)2/fe Category 1 19 95*0.125=11.875 (19-11.875)2/11.875 = 4.275 Category 2 18 95*0.25=23.75 (18-23.75)2/23.75 = 1.392 Category 3 23 95*0.3125=29.688 (23-29.688)2/29.688 = 1.506 Category 4 35 95*0.3125=29.688 (35-29.688)2/29.688 = 0.951 Sum = 95 95 8.124

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