Previous studies suggest that vegetarians may not receive enough zinc in their d
ID: 3222296 • Letter: P
Question
Previous studies suggest that vegetarians may not receive enough zinc in their diets. As the zinc requirement is particularly important during pregnancy, researchers conducted a study to determine whether vegetarian pregnant women are at greater risk from low zinc levels than are nonvegetarian pregnant women.
23 women were monitored. The following table presents the zinc levels (ug/g) in the hair of three groups of women. (Data from J. C. King. Nutrition 34 (1981): 1049-1055.)
Pregnant nonvegetarians
Pregnant vegetarians
Nonpregnant vegetarians
185
171
210
189
174
139
187
202
172
181
171
198
150
207
177
176
125
189
179
163
174
184
186
How many degrees of freedom for the Between Groups calculation?
How many degrees of freedom for the Within Groups calculation?
F =
Critical value of F = (use alpha = 0.05)
Should you reject the null hypothesis?
Pregnant nonvegetarians
Pregnant vegetarians
Nonpregnant vegetarians
185
171
210
189
174
139
187
202
172
181
171
198
150
207
177
176
125
189
179
163
174
184
186
Explanation / Answer
One-way ANOVA: Zinc versus Food
Source DF SS MS F P
Food 2 16 8 0.02 0.982
Error 20 8816 441
Total 22 8832
S = 20.99 R-Sq = 0.18% R-Sq(adj) = 0.00%
How many degrees of freedom for the Between Groups calculation?
Ans: The degrees of freedom for the Between Groups calculation is 2.
How many degrees of freedom for the Within Groups calculation?
Ans: The degrees of freedom for the Within Groups calculation is 20.
F = 0.02
Critical value of F at 0.05 level of significance for (2, 20) degree of freedom = 3.49.
Should you reject the null hypothesis?
Ans: We can not reject the null hypothesis because the estimated F value 0.02 is less than critical value 3.49.
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