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In an experimental study, researchers had each of the participants bet on each game of a professional football season. The contingency table below contains some
In an experimental study, researchers had each of the participants bet on each game of a professional football season. The contingency table below contains some information from a random sample of 100 bets placed on the Columbus Crush (picking them to win) during the last 14 games of the season (the Crush had 7 wins and 7 losses over that period). This contingency table indicates, for each bet placed on the Crush, whether or not the team won and how the participant who placed the bet went the following week. So, there are two variables represented: result of picking the Crush ("Crush won" or "Crush lost") and bet placed the following week ("picked Crush to win" or "picked Crush to lose"). Each cell of the table contains three numbers: the first number is the observed cell frequency (fo); the second number is the expected cell frequency (fE) under the assumption that there is no dependence between the two variables result of picking the Crush and bet placed the following week; and the third number is the following wvalue. 2 2 (fo _fE) _ (Observed cell frequency Expected cell frequency) fE - Expected cell frequency The numbers labeled "Total" are totals for observed frequency. Part 1 2 . . . . _ _ (o ~7&) Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your values to E three or more decimal places. Send data to Excel Bet placed the following week Picked Crush to win Picked Crush to lose Crush won Result of picking the Crush Crush lost Part 2 Answer the following to summarize the test of the hypothesis that there is no dependence between the two variables result of picking the Crush and bet placed the following week. For your test, use the 0.05 level of significance. (a) Determine the type of test statistic to use. Type of test statistic: v ' Degrees of freedom: (b) Find the value of the test statistic. (Round to two or more decimal places.) 0 (c) Find the p-value. (Round to three or more decimal places.) 0 (d) Can we reject the hypothesis that there is no dependence between the variables result of picking the Crush and bet placed the following week? Use the 0.05 level of significance. O Yes O No
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