In: Statistics and Probability
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:
Watch Tennis |
Do Not Watch Tennis |
Totals | |
Drink Wine | 6 | 49 | 55 |
Do Not Drink Wine | 14 | 31 | 45 |
Totals | 20 | 80 | 100 |
(a) For each row and column total, calculate the corresponding row or column percentage.
Row 1 | % |
Row 2 | % |
Column 1 | % |
Column 2 | % |
(b) For each cell, calculate the corresponding
cell, row, and column percentages. (Round your answers to
the nearest whole number.)
Watch Tennis |
Do Not Watch Tennis |
||
Drink Wine | Cell= % | Cell= % | |
Row= % | Row= % | ||
Column= % | Column= % | ||
Do Not Drink Wine | Cell= % | Cell= % | |
Row= % | Row= % | ||
Column= % | Column= % | ||
(c) Test the hypothesis that whether people drink wine is independent of whether people watch tennis. Set α = .05. (Round your answer to 3 decimal places.)
χ2χ2 =
(Click to select)Do not rejectReject H0. Conclude that whether a person drinks wine and whether a person watches tennis are (Click to select)DependentIndependent events.
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