////2//// The table below lists the number of games played in a yearly best-of-s
ID: 3430272 • Letter: #
Question
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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 18 0.125
5 18 0.25
6 24 0.3125
7 36 0.3125
Ho: A. The observed frequencies agree with two of the expected proportions.
B. At least one of the observed frequencies do not agree with the expected proportions.
C. The observed frequencies agree with the expected proportions.
D. The observed frequencies agree with three of the expected proportions.
Answer Ho: ________
H1: A. The observed frequencies agree with two of the expected proportions.
B. At least one of the observed frequencies do not agree with the expected proportions.
C. The observed frequencies agree with the expected proportions.
D. The observed frequencies agree with three of the expected proportions.
Answer H1: ________
Calculate the test statistic=_____(Round to three decimal places as needed.)
Calculate the P-value.
P-value=________(Round to four decimal places as needed.)
What is the conclusion for this hypothesis test?
A. Fail to 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..
B. 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.
C. 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.
D. 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.
Explanation / Answer
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 18 0.125
5 18 0.25
6 24 0.3125
7 36 0.3125
Ho: A. The observed frequencies agree with two of the expected proportions.
B. At least one of the observed frequencies do not agree with the expected proportions.
C. The observed frequencies agree with the expected proportions.
D. The observed frequencies agree with three of the expected proportions.
Answer Ho: C. The observed frequencies agree with the expected proportions.
H1: A. The observed frequencies agree with two of the expected proportions.
B. At least one of the observed frequencies do not agree with the expected proportions.
C. The observed frequencies agree with the expected proportions.
D. The observed frequencies agree with three of the expected proportions.
Answer H1: B. At least one of the observed frequencies do not agree with the expected proportions.
Calculate the test statistic= 6.900 (Round to three decimal places as needed.)
Calculate the P-value.
P-value= 0.0752 (Round to four decimal places as needed.)
What is the conclusion for this hypothesis test?
A. Fail to 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..
B. 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.
C. 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.
D. 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.
Calculations
observed
P
expected = p*96
4
18
0.125
12
5
18
0.25
24
6
24
0.3125
30
7
36
0.3125
30
96
1
96
Goodness of Fit Test
observed
expected
O - E
(O - E)
observed
P
expected = p*96
4
18
0.125
12
5
18
0.25
24
6
24
0.3125
30
7
36
0.3125
30
96
1
96
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