Psy 3010 Nonparametric Tests Practice Problems
For each problem, include all Steps of Hypothesis Testing
1. Assume that in the USA, the ratio of American cars, to Japanese cars, to European cars, to Korean cars is 10:5:4:1. A researcher wants to determine if this ratio holds in Canada as well. A survey of 1000 cars that pass a location in Canada yields the following data. Conduct an appropriate statistical test using alpha = .05.
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Nationality of Car:
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American
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Japanese
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European
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Korean
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Frequency of Occurrence:
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400
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300
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200
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100
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2. A researcher wanted to know if there is a relationship between depression and favorite color. Clinically Depressed and Clinically Normal individuals were classified as having either a dark favorite color (e.g., black, brown), a moderate favorite color (e.g., red, green), or a light favorite color (e.g., white, pink, yellow). For the data below, conduct an appropriate statistical test using an alpha level of .05.
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Dark
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Moderate
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Light
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Depressed
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22
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10
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6
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Normal
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10
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32
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20
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3. The data below are self-ratings of effort in a course by students on a 10-point ordinal scale where higher numbers indicate greater effort. Conduct an appropriate statistical test using alpha = .05 to determine if there is a difference in self-ratings of effort between students who earned a C or higher versus those who earned a D or F.
Course Grade Self-ratings of Effort
A, B, or C: 9, 7, 2, 4, 2, 5, 3, 6, 1, 8
D or F: 2, 3, 1, 4, 3, 3, 2, 5
4. The following data are ordinal-level scores out of a possible 100 points, which were awarded to two cities for cleanliness over a 10-year period. Higher numbers indicate greater cleanliness. Determine if there is a statistically significant difference in the cleanliness of the two cities. Use an alpha level of .05.
Year City X City Y
1981 76 72
1982 80 82
1983 82 93
1984 83 98
1985 82 95
1986 88 96
1987 93 91
1988 89 92
1989 87 93
1990 93 93