A book claims that more hockey players are born in January through March than in October through December. The following data show the number of players selected in a draft of new players for a hockey league according to their birth month. Is there evidence to suggest that hockey players' birthdates are not uniformly distributed throughout the year? Use the level of significance α=0.05. LOADING...
A book claims that more hockey players are born in January through March than in October through December. The following data show the number of players selected in a draft of new players for a hockey league according to their birth month. Is there evidence to suggest that hockey players' birthdates are not uniformly distributed throughout the year? Use the level of significance α=0.05. LOADING...
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 25PFA
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A book claims that more hockey players are born in January through March than in October through December. The following data show the number of players selected in a draft of new players for a hockey league according to their birth month. Is there evidence to suggest that hockey players' birthdates are not uniformly distributed throughout the year? Use the level of significance
α=0.05.
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Part 1
What are the null hypothesis and alternative hypotheses?
H0:
The distribution of hockey players' birth months is uniformly distributed.H1:
The distribution of hockey players' birth months is not uniformly distributed.H0:
The distribution of hockey players' birth months is not uniformly distributed.H1:
The distribution of hockey players' birth months is uniformly distributed.H0:
The distribution of hockey players' birth months is uniformly distributed.H1:
More hockey players are born in the first half of the year than the second half.H0:
The distribution of hockey players' birth months is uniformly distributed.H1:
More hockey players are born in January-March than October-December.Part 2
Compute the expected counts for each birth month. The total number of hockey players is
178.
|
Birth Month
|
Observed Count
|
Expected Count
|
|
|---|---|---|---|
|
January-March
|
64
|
enter your response here
|
|
|
April-June
|
53
|
enter your response here
|
|
|
July-September
|
35
|
enter your response here
|
|
|
October-December
|
26
|
enter your response here
|
|
|
|
|
(Round to two decimal places as needed.)
|
Part 3
What is the test statistic?
|
χ20
|
=
|
enter your response here
(Round to three decimal places as needed.) |
Part 4
What is the P-value of the test?
P-value=enter your response here
(Round to three decimal places as needed.)Part 5
Based on the results, do the hockey league's players' birth months follow a uniform distribution? Use the level of significance
α=0.05.
Yes,
because the calculated P-value is
less
than the given
α
level of significance.Yes,
because the calculated P-value is
greater
than the given
α
level of significance.No,
because the calculated P-value is
greater
than the given
α
level of significance.No,
because the calculated P-value is
less
than the given
α
level of significanceExpert Solution
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