Winning team data were collected for teams in different sports as shown in Table 1 below to investigate whether home/visitor team wins are independent of the sport (based on data from "Predicting Professional Sports Game Outcomes from Intermediate Game Scores," by Copper, DeNeve, and Mosteller, Chance, Vol. 5, No. 3-4). Table 1: Winning team vs sports Basketball Baseball Hockey Football 50 Home team win Visiting team win 130 55 60 70 45 40 40 (a) State the null hypothesis H, and alternative hypothesis Hq. (b) Determine the degree of freedoms and critical value, x2 ,0.05 level of significance. (c) Calculate the expected cell frequency and complete the frequency table below. Basketball Baseball Hockey Football Total Home 60.2 295 team win Visiting team win Total 200 100 490

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.