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 games fit the distribution indicated by the expected proportions. Games Played Actual contests Expected proportion 16 2 16 5 22 4 16 Determine the null and alternative hypotheses. Ho: H₂₁: Calculate the test statistic. ² Calculate the P-value. 6 20 5 16 (Round to three decimal places as needed.) (Round to four decimal places as needed.) 7 38 5 16 a *** P-value = What is the conclusion for this hypothesis test? OA. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions. OB. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions. OC. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions. OD. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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
16
2
16
5
22
4
16
Determine the null and alternative hypotheses.
P-value =
6
20
5
16
Ho:
H₁:
Calculate the test statistic, ².
x² = (Round to three decimal places as needed.)
Calculate the P-value.
(Round to four decimal places as needed.)
7
38
5
16
-
....
What is the conclusion for this hypothesis test?
O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions.
O B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions..
O C. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions.
O D. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions.
Transcribed Image Text:13 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 16 2 16 5 22 4 16 Determine the null and alternative hypotheses. P-value = 6 20 5 16 Ho: H₁: Calculate the test statistic, ². x² = (Round to three decimal places as needed.) Calculate the P-value. (Round to four decimal places as needed.) 7 38 5 16 - .... What is the conclusion for this hypothesis test? O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions. O B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions.. O C. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions. O D. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the actual numbers of games fit the distribution indicated by the expected proportions.
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