Question 1

The computed chi-square value is positive because the difference between the observed and
Expected frequencies is:

Accepted Answer

A)  squared. 
B)  linear. 
C)  uniform. 
D)  always positive. 
A)  squared. 
B)  linear. 
C)  uniform. 
D)  always positive.

Question 2

i. The chi-square goodness-of-ﬁt test is appropriate for nominal and ordinal levels of data.
ii. Chi-square test statistic used in a goodness-of-ﬁt test has k - 1 degrees of freedom.
iii. The chi-square goodness-of-ﬁt test can be applied if there are equal or unequal 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)  (i), (ii), and (iii) are all false statements. 
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 3

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: 310 are current, 125 are late and 65 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. 
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 4

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 regarding the null hypothesis?

Accepted Answer

A)  Do not reject the null hypothesis. 
B)  Reject the null hypothesis. 
C)  There is not enough information to reach a decision. 
A)  Do not reject the null hypothesis. 
B)  Reject the null hypothesis. 
C)  There is not enough information to reach a decision.

Question 5

i. The chi-square distribution with large degrees of freedom approaches a normal distribution.
ii. The chi-square distribution is positively skewed.
iii. Nonparametric tests of hypotheses, which are also called distribution free tests, require the
Population to be normally distributed.

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. 
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 6

i. The number of degrees of freedom appropriate for the chi-square goodness-of-ﬁt test is the
Number of categories minus 2.
ii. If there are extremely large differences between observed and expected frequencies the correct
Decision is to reject H0.
iii. There are 2 degrees of freedom for a contingency table classifying three levels of income with
Each gender.

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. 
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 7

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 critical value at the 10% level of signiﬁcance?

Accepted Answer

A)  7.779 
B)  9.236 
C)  9.488 
D)  11.070 
A)  7.779 
B)  9.236 
C)  9.488 
D)  11.070

Question 8

i. A goodness-of-ﬁt test is a nonparametric test involving a set of observed frequencies and a
Corresponding set of expected frequencies.
ii. 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.
iii. 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.

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. 
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

At a recent car show, a sample of 125 people produced the following results. Use the 0.05
Signiﬁcance level to determine if there is a relationship between age and model preferred.

Accepted Answer

A)  Reject the null hypothesis, there is a signiﬁcant relationship between age and model preferred at the 5% level of signiﬁcance. 
B)  Unable to reject the null hypothesis, there is a signiﬁcant relationship between age and model preferred at the 5% level of signiﬁcance. 
C)  Reject the null hypothesis, there is insuﬃcient evidence to show a signiﬁcant relationship between age and model preference. 
D)  Unable to reject the null hypothesis, there is signiﬁcant relationship between age and model preferred at the 5% level of signiﬁcance. 
A)  Reject the null hypothesis, there is a signiﬁcant relationship between age and model preferred at the 5% level of signiﬁcance. 
B)  Unable to reject the null hypothesis, there is a signiﬁcant relationship between age and model preferred at the 5% level of signiﬁcance. 
C)  Reject the null hypothesis, there is insuﬃcient evidence to show a signiﬁcant relationship between age and model preference. 
D)  Unable to reject the null hypothesis, there is signiﬁcant relationship between age and model preferred at the 5% level of signiﬁcance.

Question 10

A school is trying to determine if there is a relationship between gender and which of its 3 programs
That students enroll in. It was observed that 20 females enrolled in accounting, 15 in ﬁnance and 25
In marketing. For males, 10 enrolled in accounting, 20 enrolled in ﬁnance and 15 enrolled in
Marketing. What is the chi square value?

Accepted Answer

A)  4.497 
B)  5 
C)  3.25 
D)  4.25 
A)  4.497 
B)  5 
C)  3.25 
D)  4.25

Question 11

i. For a contingency table, the expected frequency for a cell is found by dividing the row total by the
Grand total.
ii. The claim that "male and female University of Toledo students prefer different parking lots on
Campus" is an example of a chi-square null hypothesis.
iii. For contingency table analysis using the chi-square test, multiplying the number of rows minus 1
By the number of columns minus 1 will give you the degrees of freedom.

Accepted Answer

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

Question 12

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 expected number of grades above B?

Accepted Answer

A)  18.25 
B)  20.00 
C)  13.59 
D)  15.87 
E)  15.63 
A)  18.25 
B)  20.00 
C)  13.59 
D)  15.87 
E)  15.63

Question 13

i. The sum of the expected frequencies in a goodness-of-ﬁt test need not equal the sum of the
Observed frequencies.
ii. A goodness-of-ﬁt test is a nonparametric test involving a set of observed frequencies and a
Corresponding set of expected frequencies.
iii. 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.

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. 
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 14

The personnel manager is concerned about absenteeism. She decides to sample the records to
Determine if absenteeism is distributed evenly throughout the six-day workweek. The null
Hypothesis to be tested is: Absenteeism is distributed evenly throughout the week. The 0.01 level is
To be used. The sample results are:  
What is the calculated value of chi-square?

Accepted Answer

A)  1.0 
B)  0.5 
C)  0.8 
D)  8.0 
A)  1.0 
B)  0.5 
C)  0.8 
D)  8.0

Question 15

i. The shape of the chi-square distribution depends on the size of the sample.
ii. Small differences between observed and expected frequencies are due to chance.
iii. The chi-square distribution with large degrees of freedom approaches a normal distribution.

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. 
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 16

i. The computed value of chi-square is always positive because the difference between the
Observed frequencies and the expected frequencies are squared.
ii. The shape of the chi-square distribution changes for each number of degrees of freedom.
iii. The minimum computed value of chi-square is zero.

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. 
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 17

i. There is not one, but a family of chi-square distributions. There is a chi-square distribution for 1
Degree of freedom, another for 2 degrees of freedom, another for 3 degrees of freedom, and so on.
ii. The shape of the chi-square distribution depends on the size of the sample.
iii. Small differences between observed and expected frequencies are due to chance.

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. 
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 18

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 statistic for the analysis is:

Accepted Answer

A)  F-statistic. 
B)  t-statistic 
C)  Chi-square statistic 
D)  Z-statistic 
A)  F-statistic. 
B)  t-statistic 
C)  Chi-square statistic 
D)  Z-statistic

Question 19

The chi-square has:

Accepted Answer

A)  one distribution. 
B)  two distributions. 
C)  a family of distributions. 
D)  a uniform distribution. 
A)  one distribution. 
B)  two distributions. 
C)  a family of distributions. 
D)  a uniform distribution.

Question 20

i. If the computed value of chi-square is less than the critical value, reject the null hypothesis at a
Predetermined level of signiﬁcance.
ii. If there are only two cells in a goodness-of-ﬁt test, we should expect 5 or more frequencies.
iii. Chi-square goodness-of-ﬁt test is the appropriate statistical test to use when you wish to
Determine how well an observed set of data ﬁts an expected set of data.

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. 
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.

The computed chi-square value is positive because the difference between the observed and Expected frequencies is:

i. The chi-square goodness-of-ﬁt test is appropriate for nominal and ordinal levels of data. ii. Chi-square test statistic used in a goodness-of-ﬁt test has k - 1 degrees of freedom. iii. The chi-square goodness-of-ﬁt test can be applied if there are equal or unequal expected Frequencies.

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 regarding the null hypothesis?

i. The chi-square distribution with large degrees of freedom approaches a normal distribution. ii. The chi-square distribution is positively skewed. iii. Nonparametric tests of hypotheses, which are also called distribution free tests, require the Population to be normally distributed.

At a recent car show, a sample of 125 people produced the following results. Use the 0.05 Signiﬁcance level to determine if there is a relationship between age and model preferred.

i. The shape of the chi-square distribution depends on the size of the sample. ii. Small differences between observed and expected frequencies are due to chance. iii. The chi-square distribution with large degrees of freedom approaches a normal distribution.

i. The computed value of chi-square is always positive because the difference between the Observed frequencies and the expected frequencies are squared. ii. The shape of the chi-square distribution changes for each number of degrees of freedom. iii. The minimum computed value of chi-square is zero.

The chi-square has:

What Is Statistics

Describing Data: Frequencydistributions and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Pata

A Sulvey of Probability Concepts

Discrete Probability Distributions

Continuous Probabilitydistributions

Sampling Methods and the Central Umit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Chi-Square Applications

Decision Making and Payoff Tables in Investment Scenarios

Filters

Exam 14: Multiple Regression and Correlation Analysis

The computed chi-square value is positive because the difference between the observed and Expected frequencies is:

i. The chi-square goodness-of-ﬁt test is appropriate for nominal and ordinal levels of data. ii. Chi-square test statistic used in a goodness-of-ﬁt test has k - 1 degrees of freedom. iii. The chi-square goodness-of-ﬁt test can be applied if there are equal or unequal expected Frequencies.

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 regarding the null hypothesis?

i. The chi-square distribution with large degrees of freedom approaches a normal distribution. ii. The chi-square distribution is positively skewed. iii. Nonparametric tests of hypotheses, which are also called distribution free tests, require the Population to be normally distributed.

At a recent car show, a sample of 125 people produced the following results. Use the 0.05 Signiﬁcance level to determine if there is a relationship between age and model preferred.

i. The shape of the chi-square distribution depends on the size of the sample. ii. Small differences between observed and expected frequencies are due to chance. iii. The chi-square distribution with large degrees of freedom approaches a normal distribution.

i. The computed value of chi-square is always positive because the difference between the Observed frequencies and the expected frequencies are squared. ii. The shape of the chi-square distribution changes for each number of degrees of freedom. iii. The minimum computed value of chi-square is zero.

The chi-square has:

What Is Statistics

Describing Data: Frequencydistributions and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Pata

A Sulvey of Probability Concepts

Discrete Probability Distributions

Continuous Probabilitydistributions

Sampling Methods and the Central Umit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Chi-Square Applications

Decision Making and Payoff Tables in Investment Scenarios

Filters