Question

A researcher drew a random sample of 57 college students and asked whether they knew how...

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?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1
Observed Frequencies
Yes No Total
Non-computer 5 19 24
Computer 26 7 33
Total 31 26 57
Expected Frequencies
Yes No Total
Non-computer 31 * 24 / 57 = 13.0526 26 * 24 / 57 = 10.9474 24
Computer 31 * 33 / 57 = 17.9474 26 * 33 / 57 = 15.0526 33
Total 31 26 57
(fo-fe)²/fe
Non-computer (5 - 13.0526)²/13.0526 = 4.968 (19 - 10.9474)²/10.9474 = 5.9233
Computer (26 - 17.9474)²/17.9474 = 3.6131 (7 - 15.0526)²/15.0526 = 4.3079

Test statistic:  

χ² = ∑ ((fo-fe)²/fe) = 18.8122

df = (r-1)(c-1) = 1

p-value = CHISQ.DIST.RT(18.8122, 1) = 0.000

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