In: Statistics and Probability
A recent study of undergraduates looked at gender differences in dieting trends. There were 188 women and 103 men who participated in the survey. The table below summarizes whether a student tried a low-fat diet or not by gender:
| Gender | ||||
|---|---|---|---|---|
| Tried low-fat diet | Women | Men | ||
| Yes | 40 | 8 | ||
| No | ||||
(a) Fill in the missing cells of the table.
| Gender | ||||
|---|---|---|---|---|
| Tried low-fat diet | Women | Men | ||
| Yes | 40 | 8 | ||
| No | ||||
(b) Summarize the data numerically. What percent of each gender has
tried low-fat diets? (Round your answers to two decimal
places.)
| women | % |
| men | % |
(c) Test that there is no association between gender and the
likelihood of trying a low-fat diet. (Round your
χ2 to three decimal places, and round your
P-value to four decimal places.)
| χ2 | = | |
| df | = | |
| P-value | = |