A recent study of undergraduates looked at gender differences in dieting trends.
ID: 3341220 • Letter: A
Question
A recent study of undergraduates looked at gender differences in dieting trends. There were 181 women and 105 men who participated in the survey. The following table summarizes whether a student tried a low-fat diet or not by gender: Two Way Table Gender Tried low-fat diet Women Men Yes 35 8 No 146 97 a. Total sample size n: 286 The chi-square test for the null hypothesis, Ho: No association between gender and the likelihood of trying a low-fat diet, is based on the expected counts of the four cells under the null hypothesis. For parts b-e, compute these expected counts. Use 2 decimal places. Two Way Table--Expected Count Gender Tried low-fat diet Women Men Yes No b. C b. If Ho is true, the expected count of women who have tried low-fat diet is diet is: d. If Ho is true, the expected count of women who have not tried low-fat diet is e. If Ho is true, the expected count of men who have not tried low-fat diet isExplanation / Answer
Observed frequencies
Women Men Total
Yes 35 8 43
No 146 97 243
Total 181 105 286
(a)
Expected frequencies:
Women Men Total
Yes 27.21 15.79 43
No 153.79 89.21 243
Total 181 105 286
EXPANATION: Expected frequency for the cell: Women & Yes = 181 X 43/286 = 27.21
Similarly other frequencies are computed from the column toals & row totals.
(b)
If H0 is true, the expected count of women have tried low fat diet is 27.21
(c) If H0 is true, the expected count of men who have tried low fat diet is 15.79
(d) If H0 is true, the expected count of women who have not tried low fat diet is 153.79
(e) If H0 is true, the expected count of mn who have not tried low fat diet is 89.21