Answer to Question #169414 in Statistics and Probability for Janeah

Question #169414

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? 


1
Expert's answer
2021-03-08T18:37:33-0500

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.


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