Hockey Teams: There are five teams in the northeast conference of the NHL. Their

Question

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

Observed Frequencies: Oi's

The Test: Test for a significant dependent relationship between wins/losses and team for this season. Conduct this test at the 0.10 significance level.

(a) What is the test statistic? Round your answer to 3 decimal places.

2

=  

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

reject H0fail to reject H0    

(c) 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.

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  

Explanation / Answer

a) TS =

b) df = 4

p-value = 0.141361

since p-value > 0.10

we fail to reject the null

c)

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

Please rate my solution

c1 c2 c3 c4 c5 sum r1 39 39 30 44 45 197 r2 43 43 52 38 37 213 sum 82 82 82 82 82 410 Eij 1 2 3 4 5 expected 1 39.4 39.4 39.4 39.4 39.4 2 42.6 42.6 42.6 42.6 42.6 0i 39 39 30 44 45 43 43 52 38 37 Ei 39.4 39.4 39.4 39.4 39.4 42.6 42.6 42.6 42.6 42.6 sum (Oi-Ei)^2/Ei 0.004061 0.004061 2.24264 0.537056 0.795939 0.003756 0.003756 2.074178 0.496714 0.73615 6.89831 critical value 9.49

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