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. (c) Test the hypothesis that whether people drink wine is independent of whether people watch tennis. Set alpha = 05. X^2 = H_0. Conclude that whether a person drinks wine and whether a person watches tennis are events.

Explanation / Answer

Ans:

Chi square test of independence:

expected count=(row sum* column sum)/total sum

p-value=0.516

critical chi square for 0.05 significance level and df=1 is 3.841

As calculated chi square=0.421 <critical chi square=3.841,we fail to reject null hypothesis.

Hence, it concludes that whether a person drinks wine and hether a person watches tennis are indpendent events.

Watch tennis Dont watch tennis Marginal prob Drink wine 0.05 0.26 0.31 dont drink wine 0.15 0.54 0.69 Marginal prob. 0.2 0.8 100

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