A marketing research firm wishes to study the relationship between wine consumpt

Question

A marketing research firm wishes to study the relationship between wine consumption and whether a person likes to watch professional tennis on television. One hundred randomly selected people are asked whether they drink wine and whether they watch tennis. The following results are obtained:

(a) For each row and column total, calculate the corresponding row or column percentage.

  
(b) For each cell, calculate the corresponding cell, row, and column percentages. (Round your answers to the nearest whole number.)

(c) Test the hypothesis that whether people drink wine is independent of whether people watch tennis. Set = .05. (Round your answer to 3 decimal places.)

(Click to select)RejectDo not reject H0. Conclude that whether a person drinks wine and whether a person watches tennis are (Click to select)DependentIndependent events.

Watch
Tennis Do Not
Watch Tennis Totals Drink Wine 8 42 50 Do Not Drink Wine 12 38 50 Totals 20 80 100

Explanation / Answer

A)For the first part: For each row and column total,the corresponding row or column percentage.

B)For 2nd part: For each cell, the corresponding cell, row, and column percentages:

C) Observed Frequency table is given in the question.

We need to find Expected Freq table:(Below) (example:expected freq for cell1= (Row 1 total* Col 1 total)/Grand total)

Chi-square statistics value=1

Comparing with the Chi-square critical value,we conclude that we accept H0 and say that a person drinking wine and watching tennis are independent events.

ROW1 50% ROW2 50% COLUMN 1 20% COLUMN 2 80%

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