Question

A researcher drew a random sample of 57 college students and asked whether they knew how to properly recycle e-waste. The researcher also asked them their academic major (whether they were a computer science major "yes" or "no"). The researcher obtained the results in the table below. Open the M15 Data File and follow the instructions on how to run a chi-square test in SPSS.

Do you know how to properly recycle e-waste?

Academic Major	Yes	No
Non-Computer Science	5	19
Computer Science	26	7

Use this information to answer questions #1 - #6.

Question 1

What is the expected frequency for non-computer science majors who do not know how to properly recycle e-waste?

Question 2

What is the expected frequency for non-computer science majors who know how to properly recycle e-waste?

Question 3

What is the expected frequency for computer science majors who know how to properly recycle e-waste?

Question 4

What is the expected frequency for computer science majors who do not know how to properly recycle e-waste?

Question 5

What is the chi-square value?

Question 6

What are the df?

Answer 1

From the given data

1) The expected frequency for non-computer science majors who do not know how to properly recycle e-waste is

24*26 / 57 = 10.947

2) The expected frequency for non-computer science majors who know how to properly recycle e-waste is

24*31 / 57 = 13.053

3) The expected frequency for computer science majors who know how to properly recycle e-waste is

33*31/57 = 17.947

4) The expected frequency for computer science majors who do not know how to properly recycle e-waste is

33*26/57 = 15.053

5) The chi-square value is

Critical X^2:        3.841456

6) Degrees of freedom: (2-1)*(2-1) = 1

The chi-square contribution values are

Test Statistic, X^2: 18.8122

Since Chi-square value > Chi-sqauare critical value so we reject H0

Thus we conclude that Academic Major and e-waste are not independent