Question

Part 2: Chi-Square Assignment:

The following data are responses to the question

“Does exercising regularly (three or more days per week) until you sweat and breathe hard appeal to you?” Response levels to the question are “very much,” “somewhat,” or “not at all.”

A total of 90 boys and 80 girls responded to the question. (These are not real data. The responses are made up to demonstrate chi square. It is hoped and believed that boys and girls think that regular exercise is very appealing.)

Questionnaire on Responses to Exercising Regularly

Responses	Boys	Girls	Total
Very much	40	11	51
	(   )	(   )
Somewhat	40	30	70
Not at all	10	39	49
Totals	90	80	170

1. Determine what the expected frequencies would be for the two cells in the first row using the procedure from chapter 10, pages 190 to 195. Insert the answer between the parentheses in the two cells given in the preceding table. (show your work)

2. Use the formula from example 10.1 (p. 191) to calculate the part of the total chi square for the first cell (boys: very much). Place the answer here: _____________.

3. The total chi square = 34.79. Consult table A.7 (p. 456) using the .01 alpha level to determine whether this is significant (you must determine the df for entering the table; see p. 191. Write the results of this test using APA style: ____________________________________________.

Answer 1

Que.1

Expected frequency is computed as follows:

Que.2

Chi-square value for first cell is,

Que.3

Degrees of freedom = (r-1)(c-1) = (3-1)(2-1)= 2

Critical value = 9.21

Since calculated chi-square (34.79) is greater than critical value, hence we rejct null hypothesis at 1% level of significance.