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

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**

A researcher drew a random sample of 24 people seeking asylum in
the United States and recorded whether they were granted amnesty
("yes" or "no"). The researcher also grouped them according to
their gender ("male" or "female"). The results are below:
Granted General Amnesty
Gender of Asylum Seeker
Yes
No
Male
5
4
Female
8
7
Enter this information into SPSS. Use this information to answer
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Question 4
Identify the null hypothesis and research (alternative)
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market researcher
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Watched?
Viewer's
age
Yes
No
18-25 years 33 40
26-40 78 55
41+ years 18 84
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No
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16
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164
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A researcher records whether n=280n=280 children do or
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Asthma at age
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Asthma at age 13?
Yes
No
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85
17
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173
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Sixty-four students in an introductory college economics class
were asked how many credits they had earned in college, and how
certain they were about their choice of major. At α = .10,
is the degree of certainty independent of credits earned?
Credits Earned
Very
Uncertain
Somewhat
Certain
Very
Certain
Row Total
0 – 9
12
6
5
23
10 – 59
9
5
7
21
60 or more
4
9
12
25
Col Total
25
20
24
69
(a) At...

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(note: if you determine that the df = 1, or an expected
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Sixty-four students in an introductory college economics class
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Credits Earned
Very
Uncertain
Somewhat
Certain
Very
Certain
Row Total
0 –
9
12
9
3
24
10 –
59
8
3
9
20
60 or
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1
7
...

Sixty-four students in an introductory college economics class
were asked how many credits they had earned in college, and how
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Credits Earned
Very
Uncertain
Somewhat
Certain
Very
Certain
Row Total
0 –
9
11
10
3
24
10 –
59
10
5
9
24
60 or
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