Question 1

The following table classiﬁes an individual in two ways-by gender and by educational choice.  What is this two-way classiﬁcation called?

Accepted Answer

A)  Goodness-of-ﬁt test 
B)  Frequency table 
C)  No-load table 
D)  Contingency table

Question 2

If an employee wanted to investigate the relationship between performance rating and gender,
What type of analysis should be used?

Accepted Answer

A)  A chi-square goodness-of-ﬁt test 
B)  Difference between two means 
C)  Contingency table analysis 
D)  Single population proportion

Question 3

A survey of the opinions of property owners about a street widening project was taken to determine
Whether the resulting opinion was related to the distance of front footage. A randomly selected
Sample of 100 property owners was contacted and the results are shown below. 
What is the computed value of chi-square?

Accepted Answer

A)  7.89 
B)  8.97 
C)  6.78 
D)  6.97 
E)  6.89

Question 4

Recently, students in a marketing research class were interested in the driving behavior of students.
Speciﬁcally, the marketing students were interested if exceeding the speed limit was related to
Gender. They collected the following responses from 100 randomly selected students: 
Using the output from Megastat for the data given, what can you conclude?

Accepted Answer

A)  Gender and speeding are correlated. 
B)  Gender and speeding are not related, based on the low p-value. 
C)  Gender and speeding are related, based on the low p-value. 
D)  The mean of gender equals the mean of speeding. 
E)  No conclusion is possible.

Question 5

Which of the following can be used to test if two nominal variables or characteristics are related?

Accepted Answer

A)  A contingency table 
B)  A chi-square table 
C)  An ANOVA table 
D)  A scatter diagram

Question 6

In a contingency table suppose that we are comparing males versus females against ﬁve glades: A,
B, C, D and F The degrees of freedom will be:

Accepted Answer

A)  10 
B)  8 
C)  4 
D)  6

Question 7

At a recent automobile show, a sample of 135 people produced the following results. Use the 0.05
Signiﬁcance level to determine if there is a relationship between age and model preferred. 
Based on the analysis above, what can be concluded?

Accepted Answer

A)  Buyer's age and car model preference are not related. 
B)  Buyer's age and car model preference are related. 
C)  The mean of age is the same as the mean of car model preference. 
D)  No conclusion can be made.

Question 8

i. For a goodness-of-ﬁt test, the number of degrees of freedom is determined by k - 2, where k is
The number of categories.
ii. The sum of the expected frequencies in a goodness-of-ﬁt test need not equal the sum of the
Observed frequencies.
iii. If the computed value of chi-square is less than the critical value, reject the null hypothesis at a
Predetermined level of signiﬁcance.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) and (ii) are correct statements but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements.

Question 9

i. The alternative hypothesis states that there is a difference between the observed frequencies and
The expected frequencies in a goodness-of-ﬁt test.
ii. The number of degrees of freedom appropriate for the chi-square goodness-of-ﬁt test is the
Number of categories minus 1.
iii. If there are extremely large differences between observed and expected frequencies the correct
Decision is to reject H0.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) and (ii) are correct statements but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements.

Question 10

i. For a goodness-of-ﬁt test, the following are possible null and alternate hypotheses. Null: Sales are
Uniformly distributed among the ﬁve locations. Alternate: Sales are not uniformly distributed among
The ﬁve locations.
ii. In the goodness-of-ﬁt test, the chi-square distribution is used to determine how well an observed
Set of observations "ﬁts" an "expected" set of observations.
iii. The sum of the expected frequencies and the sum of the observed frequencies must be equal.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) and (ii) are correct statements but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements.

Question 11

For any chi-square goodness-of-ﬁt problem, the number of degrees of freedom is found by:

Accepted Answer

A)  n - k - 1. 
B)  k - 1. 
C)  n + 1. 
D)  n + k.

Question 12

i. For a goodness-of-ﬁt test, the number of degrees of freedom is determined by k - 2, where k is
The number of categories.
ii. The sum of the expected frequencies in a goodness-of-ﬁt test need not equal the sum of the
Observed frequencies.
iii. A goodness-of-ﬁt test is a nonparametric test involving a set of observed frequencies and a
Corresponding set of expected frequencies.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) and (ii) are correct statements but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (iii) is a correct statement, but (i) and (ii) are false.

Question 13

A student asked a statistics professor if grades were marked "on the curve." The professor decided
To give the student a project to determine if last year's statistics grades were normally distributed.
The professor told the student that last year's mean mark was 70 with a standard deviation of 10
And to use the following results. 
What is the alternative hypothesis?

Accepted Answer

A)  The letter grades are evenly distributed. 
B)  The letter grades are not evenly distributed. 
C)  The letter grades are normally distributed. 
D)  The letter grades are not normally distributed. 
E)  The letter grades are unfairly distributed.

Question 14

Suppose that we wish to test the null hypothesis that for 3 cells, A, B, and C, the cell categories are
Equal. We observed 8 data in cell A, 13 in cell B, and 9 in cell C What is the decision rule using the 0.05 signiﬁcance level?

Accepted Answer

A)  7.815 
B)  5.991 
C)  43.773 
D)  42.557

Question 15

Canadian Accounting classiﬁes accounts receivable as "current", "late", and "not collectible".
Industry ﬁgures show that 60% of A/R are current, 30% are late, and 10% are uncollectible. A law
ﬁrm in Markham Ontario has 500 accounts receivable: 320 are current, 120 are late and 60 are not
Collectible. Are these numbers in agreement with the industry distribution? 
Using the data from this Megastat printout, you determine:

Accepted Answer

A)  the Markham ﬁrm's data reﬂect the national average, when tested at the 0.10 level of signiﬁcance. 
B)  the Markham ﬁrm's data reﬂect the national average, when tested at the 0.05 level of signiﬁcance. 
C)  the Markham ﬁrm's data reﬂect the national average, when tested at the 0.01 level of signiﬁcance. 
D)  the Markham ﬁrm's data do not reﬂect the national average, when tested above a 0.01 level of signiﬁcance.

Question 16

Recently, students in a marketing research class were interested in the driving behaviour of
Students. Speciﬁcally, the marketing students were interested if exceeding the speed limit was
Related to gender. They collected the following responses from 100 randomly selected students: 
The appropriate test to analyze the relationship between gender and speeding is:

Accepted Answer

A)  regression analysis. 
B)  analysis of variance. 
C)  contingency table analysis. 
D)  goodness-of-ﬁt. 
E)  correlation analysis.

Question 17

A sample of 100 production workers is obtained. The workers are classiﬁed by gender (male,
Female) and by age (under 20, 20 - 29, 30 - 39 and 40 or over). How many degrees of freedom are
There?

Accepted Answer

A)  0 
B)  3 
C)  6 
D)  5

Question 18

The chi-square distribution is:

Accepted Answer

A)  positively skewed. 
B)  negatively skewed. 
C)  normally distributed. 
D)  negatively or positively skewed.

Question 19

Which of the following is not a characteristic of the chi square distribution?

Accepted Answer

A)  Its shape is based on the sample size. 
B)  It is not negative. 
C)  It is positively skewed. 
D)  It approaches a normal distribution as the degrees of freedom increase.

Question 20

i. For a goodness-of-ﬁt test, the following are possible null and alternate hypotheses. Null: Sales are
Uniformly distributed among the ﬁve locations. Alternate: Sales are not uniformly distributed among
The ﬁve locations.
ii. The number of degrees of freedom appropriate for the chi-square goodness-of-ﬁt test is the
Number of categories minus 1.
iii. If there are extremely large differences between observed and expected frequencies the correct
Decision is to accept H0.

Accepted Answer

A)  (i), (ii), and (iii) are all correct statements. 
B)  (i) and (ii) are correct statements but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  (i), (ii), and (iii) are all false statements.

Exam 14: Multiple Regression and Correlation Analysis

The following table classiﬁes an individual in two ways-by gender and by educational choice. What is this two-way classiﬁcation called?

If an employee wanted to investigate the relationship between performance rating and gender, What type of analysis should be used?

Which of the following can be used to test if two nominal variables or characteristics are related?

In a contingency table suppose that we are comparing males versus females against ﬁve glades: A, B, C, D and F The degrees of freedom will be:

At a recent automobile show, a sample of 135 people produced the following results. Use the 0.05 Signiﬁcance level to determine if there is a relationship between age and model preferred. Based on the analysis above, what can be concluded?

For any chi-square goodness-of-ﬁt problem, the number of degrees of freedom is found by:

Suppose that we wish to test the null hypothesis that for 3 cells, A, B, and C, the cell categories are Equal. We observed 8 data in cell A, 13 in cell B, and 9 in cell C What is the decision rule using the 0.05 signiﬁcance level?

A sample of 100 production workers is obtained. The workers are classiﬁed by gender (male, Female) and by age (under 20, 20 - 29, 30 - 39 and 40 or over) . How many degrees of freedom are There?

The chi-square distribution is:

Which of the following is not a characteristic of the chi square distribution?