130 OUR OWN WORDS ate Sheet Chi Square Test for Independence Name And Chi Square

Question

130 OUR OWN WORDS ate Sheet Chi Square Test for Independence Name And Chi Square Test for Goodness - Of- Fit Due: 7:00 pm, Monday, July 16th the ANSWER FORMAT discussed in class to provide a COMPLETE ANSWER to the Chi - Square Hypothesis test, including an interpretation of the results of the hypothesis test. Be sure to write down your" initial informal inferences " (percentages,etc. ) to justify your assignment of the claim . Be sure to include your informal inferences in the Explanation and the agreement or lack of agreement with the results of the hypothesis test. 1) A sports statistician is interested in determining if there is a relationship between the home team 1 winning percentage, at a alpha value of.01 . A random sample of 526 games is selected and the results are given below Football Basketball Soccer Baseball 156 98 25 40 39 83 75 Home team losses Visiting team losses 31 A) B)

Explanation / Answer

Ans:

H0:There is no relationship between the home team winning percentages.

Ha:There is relationship between the home team winning percentages.

Expected count=row sum*column sum/overall sum

Test statistic:

Chi square=11.798

df=(2-1)*(4-1)=3

p-value=CHIDIST(11.798,3)=0.0081

As,p-value<0.01,we reject the null hypothesis.

There is sufficient evidence to conclude that there is significant relationship between the home team winning percentages.

Observed(fo) Football Basketball Soccer Baseball Total Home 39 156 25 83 303 Visiting 31 98 40 75 244 Total= 70 254 65 158 547 Expected(fe) Football Basketball Soccer Baseball Total Home 38.78 140.70 36.01 87.52 303 Visiting 31.22 113.30 28.99 70.48 244 Total= 70 254 65 158 547 Chi square=(fo-fe)^2/fe Football Basketball Soccer Baseball Total Home 0.001 1.664 3.364 0.234 5.263 Visiting 0.002 2.067 4.177 0.290 6.536 Total= 0.003 3.731 7.541 0.524 11.798

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