Answer to Question #169414 in Statistics and Probability for Janeah

Question

A nutrition teacher wants to compare the food values of the nutrition and dietetics students with those of the engineering students. She constructed a questionnaire composed of 15 items. The teacher administered the questionnaire to engineering and nutrition students. What conclusion can the nutrition teacher draw about the food value of the students? 

Answer 1

We have a population of all the students. We take a sample of students. Let there be 100 students in our sampe: $53$ nutrition students and $47$ engineering students. We administer the questionnaire to all the engineering and nutrition students in our sample. The students' answers to one question from the questionnaire are:

Using Pivot Table in Excel we build a table with the rows 1 --- Nutrition, 2 --- Engineering and the columns 1, 2, 3 and 4 which are four possible answers to the question.

We have the observed values and we get the expected values. Then we calculate $\chi^2$ value:

$\chi^2\approx 2.56$

Critical value $\approx 7.81$.

$\chi^2<$ Critical value. So we accept $H_0:$ there is no significant difference in the answers of the nutrition and engineering students.