For the following hypothesis test, 1) write the claim and opposite in symbolic f

Question

For the following hypothesis test, 1) write the claim and opposite in symbolic form next to H0 and H1, 2) draw a chi-square curve, find and show the critical value(s) and shade the critical region(s), 3) find the test statistic and it's p-value, and 4) write the final conclusion.

Question: Does home field advantage play a larger role in one sport over another? Winning team data were collected for teams in different sports. Use a =.10 significance level to test the claim that home/visitor wins are independent of the sport.

127

Observed Values Basketball Baseball Hockey Football Home team wins

127

53 50 57 Visiting team wins 71 47 43 42

Explanation / Answer

here null hypothesis: Ho:  home/visitor wins are independent of the sport

Ha: home/visitor wins are dependent of the sport

for above 3 degree of freedom critical value X2 =6.2514

as chi stat 4.7372 is lower then critical value; we can not reject null hypothesis and conclude that  home/visitor wins are independent of the sport

Observed O basketball Baseball Hockey Football Total Home team won 127 53 50 57 287 Visiting team won 71 47 43 42 203 Total 198 100 93 99 490 Expected E=rowtotal*column total/grand total basketball Baseball Hockey Football Total Home team won 115.971 58.571 54.471 57.986 287 Visiting team won 82.029 41.429 38.529 41.014 203 Total 198 100 93 99 490 chi square =(O-E)^2/E basketball Baseball Hockey Football Total Home team won 1.049 0.5300 0.3670 0.0168 1.963 Visiting team won 1.483 0.749 0.519 0.024 2.775 Total 2.532 1.279 0.886 0.040 4.7372

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