Multiple choices based on the Chi square test.
1. What is the critical value at the 0.05 level of significance for a goodnessoffit test if there are six categories?
a. 3.841
b.5.991
c.7.815
d.11.070
e. None of the above
2. Two chisquare distributions were plotted on the same chart. One distribution was for 3 degrees of freedom and the other was for 12 degrees of freedom. Which distribution would be likely to approach a normal distribution?
a. 3 degrees
b.12 degrees
c.15 degrees
d. All would
e. None of the above
3. A distributor of personal computers has five locations in the city. The sales in units for the first quarter of the year were as follows:
Location

Observed Scales(units)

North

70

Pleasant way

75

Southwyck

70

I90

50

Venice Avenue

35


300

What is the critical value at the 0.01 level of risk?
a.7.779
b.15.033
c.13.277
d.5.412
e. None of the above
4. To analyze data crossclassified in a contingency table, how are the degrees of freedom found?
A. N1
b. Rows  Columns
c.(Rows) x (Columns)
d.(Rows  1) x (Columns  1)
e. None of the above
5.The following table shows the adjustment to civilian life and place of residence.

Residence After

Adjustment to Civilian Life

Release From Prison Outstanding Good

Fair Unsatisfactory

Hometown

27

35

33

25

Not Hometown

13

15

27

25

Total

40

50

60

50

What is the critical value for this contingency table at the 0.01 level of significance?
a.9.488
b.2.070
c.11.345
d.13.277
e. None of the above
6. The educational level and the social activity of a sample of executives follow.
Social Activity




Education

Above Avg

Avg

Below Avg

College

30

20

10

High School

20

40

90

Grade School

10

50

130

What does the expected frequency for the "above average" social activity and "high school" education equal?
a.9.50
b.60.00
c.22.50
d.28.50
e. None of the above
7. Which of the following are true statements about the chisquare distribution?
a. Distribution is negatively skewed
b. Chisquare is based on two sets of degrees of freedom, one for the numerator and one for the denominator
c. Its shape is based on the degrees of freedom
d. All of the above are true
e. None of the above are true
8. Three new colours have been proposed for the Jeep Grand Cherokee vehicle. They are silveredblue, almond, and willow green. The null hypothesis would be
a. willow green preferred over the other colors.
b. no preference among the colors.
c. any one color preferred over the other colors.
d. impossible to determine.
e. none of the above.
9. For a chisquare test involving a contingency table, suppose the null hypothesis is rejected. We conclude that the two variables are
a. linear.
b. curvilinear.
c. not related.
d. related.
e. none of the above.
10. The test whether two variables or characteristics are related results in
a. a contingency table.
b. a chisquare table.
c. an ANOVA table.
d. a scatter diagram.
e. none of the above.