A book claims that more hockey players are born in January through March than in October through December. The following data show the numbe

Question

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 .

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Đan Thu 4 years 2021-07-27T10:47:49+00:00 1 Answers 110 views 0

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  1. kimcuc
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    2021-07-27T10:49:48+00:00
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    Complete question :

    Birth Month Frequency

    January-March 67

    April-June 56

    July-September 30

    October-December 37

    Answer:

    Yes, There is significant evidence to conclude that hockey​ players’ birthdates are not uniformly distributed throughout the​ year.

    Step-by-step explanation:

    Observed value, O

    Mean value, E

    The test statistic :

    χ² = (O – E)² / E

    E = Σx / n = (67+56+30+37)/4 = 47.5

    χ² = ((67-47.5)^2 /47.5) + ((56-47.5)^2 /47.5) + ((30-47.5)^2/47.5) + ((37-47.5)^2/47.5) = 18.295

    Degree of freedom = (Number of categories – 1) = 4 – 1 = 3

    Using the Pvalue from Chisquare calculator :

    χ² (18.295 ; df = 3) = 0.00038

    Since the obtained Pvalue is so small ;

    P < α ; We reject H0 and conclude that there is significant evidence to suggest that hockey​ players’ birthdates are not uniformly distributed throughout the​ year.

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