A researcher asks participants to taste each of three meals and to choose the on

Question

A researcher asks participants to taste each of three meals and to choose the one they like best. The same foods are in each meal, however the calorie total of each meal is different. One is low in calories, one is moderate in calories and one is high in calories. Based on the observed frequencies given below, what is an appropriate conclusion for this test at a .05 level of significance?

fo

fe

a) Participants liked the high calorie meal more than the low calorie meal.

b) Participants liked the low calorie meal less than the moderate calorie meal.

c) Participants liked the high calorie meal more than was expected.

d) all of the above

Explanation / Answer

Assuming f(e) is Frequency Expected and F(o) is Frequency observed.

We can see that for the High Calorie Meal, f(o) > f(e), which means the participants liked the high calorie meal more (17) than what was expected (10). Thus, Option C is correct.

Similarly, Observed frequency for Medium Calorie meal is 7 which is higher than the observed frequency for Low Calorie Meal which is 6. Thus, Option B is correct.

Also, Participants liking the high calorie meal (17) is higher than those liking the low calorie meal (6), thus option A is also correct.

Hence, Option D - All of the Above.

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