TThe 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. Calculate the​ P-value. (Round off to 4 decimal places)

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TThe 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.

  • Calculate the​ P-value. (Round off to 4 decimal places)
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
4
5
6
7
18
22
22
38
2
4
5
Expected proportion
16
16
16
16
Ho: The observed frequencies agree with the expected proportions.
H,: At least one of the observed frequencies do not agree with the expected proportions.
Calculate the test statistic, x2.
* = 6.976 (Round to three decimal places as needed.)
Calculate the P-value.
P-value = (Round to four decimal places as needed.)
Transcribed Image Text: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 4 5 6 7 18 22 22 38 2 4 5 Expected proportion 16 16 16 16 Ho: The observed frequencies agree with the expected proportions. H,: At least one of the observed frequencies do not agree with the expected proportions. Calculate the test statistic, x2. * = 6.976 (Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.)
A
B
F
Games Played Actual_contests Expected_proportion
(Oi-Ei)2
E=np
12.5
X2
4
18
0.125
30.25
2.42
5
22
0.25
25
9
0.36
6
22
0.3125
31.25
85.5625
2.738
7
38
0.3125
31.25
45.5625
1.458
Total
100
100
6.976
Transcribed Image Text:A B F Games Played Actual_contests Expected_proportion (Oi-Ei)2 E=np 12.5 X2 4 18 0.125 30.25 2.42 5 22 0.25 25 9 0.36 6 22 0.3125 31.25 85.5625 2.738 7 38 0.3125 31.25 45.5625 1.458 Total 100 100 6.976
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