In an experimental study, researchers had each of their participants bet on each

Question

In an experimental study, researchers had each of their participants bet on each game of a professional football season. In the contingency table below is some information from a random sample of 100 bets from this study placed on the Columbus Crush (picking them to win) during the last l4 games of the season (the Crush had 7 wins and 7 losses over that period). The table indicates, for each bet placed on the Crush, whether or not the team won and how the participant who placed the bet wagered the following week. In the cells of the table are the respective observed frequencies, and three of the cells also have blanks. Fill in these blanks with the frequencies expected if the two variables, result of picking the Crush and bet placed the following week, are independent. Round your responses to at least two decimal places.

Explanation / Answer

Picked crush to win

Picked crush to lose

Total

Crush won

41

14

55

Crush lost

27

18

45

Total

68

32

100

Expected frequency = (Row Total * Column Total)/Total

A = ( 55 * 68 ) / 100 = 37.4

A = 37.4

B = (55 * 32)/100 = 17.6

B = 17.6

C = (45*32)/100 = 14.4

C =14.4

Answer:

A = 37.4

B = 17.6

C = 14.4

Picked crush to win

Picked crush to lose

Total

Crush won

41

14

55

Crush lost

27

18

45

Total

68

32

100

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