In: Statistics and Probability
A recent study of undergraduates looked at gender differences in dieting trends. There were 188 women and 101 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 | 38 | 8 | ||
No |
(a) Fill in the missing cells of the table.
Gender | ||||
---|---|---|---|---|
Tried low-fat diet | Women | Men | ||
Yes | 38 | 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 | = |
Summarize the results.
There is no evidence at the 5% level that gender and the likelihood of trying a low-fat diet are related.
There is strong evidence at the 5% level that gender and the likelihood of trying a low-fat diet are related.