Reference no: EM131339344

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.

Nationality of Car:	American	Japanese	European	Korean
Frequency of Occurrence:	400	300	200	100

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.

	Dark	Moderate	Light
Depressed	22	10	6
Normal	10	32	20

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