Question

Hockey Teams: There are five teams in the northeast conference of the NHL. Their win/loss records for the 2009/2010 season are summarized in the table below.

Observed Frequencies: O_i's

	Montreal	Boston	Toronto	Ottawa	Buffalo
	Canadiens	Bruins	Maple Leafs	Senators	Sabres	Totals
Wins	39	39	30	44	45	197
Losses	43	43	52	38	37	213
Totals	82	82	82	82	82	410

The Test: Test for a significant dependent relationship between wins/losses and team for this season. Conduct this test at the 0.05 significance level.

(a) What is the null hypothesis for this test?

H₀: The win/loss record of a team in the northeast conference is significantly dependent of which team it is.

H₀: The win/loss record of a team in the northeast conference is independent of which team it is.     

(b) What is the value of the test statistic? Round to 3 decimal places unless your software automatically rounds to 2 decimal places.

χ² =

(c) Use software to get the P-value of the test statistic. Round to 4 decimal places unless your software automatically rounds to 3 decimal places.
P-value =

(d) What is the conclusion regarding the null hypothesis?

reject H₀

fail to reject H₀    

(e) Choose the appropriate concluding statement.

We have proven that win/loss record of the team is independent of which team it is.

The evidence suggests that the win/loss record of the team is significantly dependent on which team it is.    

There is not enough evidence to conclude that the win/loss record of the team is significantly dependent on which team it is.

Answer 1

a)  H₀: The win/loss record of a team in the northeast conference is independent of which team it is.

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Tabulated Statistics: C1, Worksheet columns

Rows: C1   Columns: Worksheet columns

	Boston	Toronto	Ottawa	Buffalo	All
Wins	39	30	44	45	158
	39.50	39.50	39.50	39.50
Losses	43	52	38	37	170
	42.50	42.50	42.50	42.50
All	82	82	82	82	328

Cell Contents
      Count
      Expected count

Chi-Square Test

	Chi-Square	DF	P-Value
Pearson	6.887	3	0.076

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P-value = 0.076

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d) Fail to reject Ho

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e)  There is not enough evidence to conclude that the win/loss record of the team is significantly dependent on which team it is.