Question

In: Statistics and Probability

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

Hockey 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 0.01 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.

Solutions

Expert Solution

orchestra answered 2 years ago
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