Question

ockey Teams: There are five teams in the northeast conference of the NHL. Their win/loss records...

ockey Teams: There are five teams in the northeast conference of the NHL. Their win/loss records for the 2010/2011 season are summarized in the table below.

Observed Frequencies: Oi's

 Montreal Boston Toronto Ottawa Buffalo Canadiens Bruins Maple Leafs Senators Sabres Totals Wins 44 46 37 32 43 202 Losses 38 36 45 50 39 208 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 independent of which team it is. H0: The win/loss record of a team in the northeast conference is significantly dependent 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 H0fail 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.

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