Question 1

For a chi-square test involving a contingency table, suppose the null hypothesis is rejected. We
Conclude that the two variables are:

Accepted Answer

A)  linear. 
B)  curvilinear. 
C)  not related. 
D)  related. 
A)  linear. 
B)  curvilinear. 
C)  not related. 
D)  related. D

Question 2

i. Tests of hypotheses for nominal or ordinal levels of measurement are called nonparametric or
Distribution-free tests.
ii. 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.
iii. The shape of the chi-square distribution depends on the size of the sample.

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. B

Question 3

What is our decision regarding the differences between the observed and expected frequencies if
The critical value of chi-square is 9.488 and the computed value is 6.079?

Accepted Answer

A)  Due to chance; do not reject the null hypothesis. 
B)  Not due to chance; reject the null hypothesis. 
C)  Not due to chance; do not reject the alternate hypothesis. 
D)  Too close; reserve judgment. 
A)  Due to chance; do not reject the null hypothesis. 
B)  Not due to chance; reject the null hypothesis. 
C)  Not due to chance; do not reject the alternate hypothesis. 
D)  Too close; reserve judgment. A

Question 4

i. The sum of the expected frequencies and the sum of the observed frequencies must be equal.
ii. If the computed value of chi-square is less than the critical value, reject the null hypothesis at a
Predetermined level of signiﬁcance.
iii. If there are only two cells in a goodness-of-ﬁt test, we should expect 5 or more 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 5

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:  
What is the value of the test statistic?

Accepted Answer

A)  100 
B)  9.89 
C)  50 
D)  4.94 
E)  0 
A)  100 
B)  9.89 
C)  50 
D)  4.94 
E)  0

Question 6

i. The null hypothesis in the goodness-of-ﬁt test is that there is no difference.
ii. The alternative hypothesis states that there is a difference between the observed frequencies
And the expected frequencies in a goodness-of-ﬁt test.
iii. The number of degrees of freedom appropriate for the chi-square goodness-of-ﬁt test is the
Number of categories minus 1.

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

The following table shows the adjustment to civilian life and place of residence.   What is the critical value for this contingency table at the 0.01 level of signiﬁcance?

Accepted Answer

A)  9.488 
B)  2.070 
C)  11.345 
D)  13.277 
A)  9.488 
B)  2.070 
C)  11.345 
D)  13.277

Question 8

The educational level and the social activity of a sample of executives follow.   What does the expected frequency for the "above average" social activity and "high school"
Education equal?

Accepted Answer

A)  9.50 
B)  60.00 
C)  22.50 
D)  28.50 
A)  9.50 
B)  60.00 
C)  22.50 
D)  28.50

Question 9

Two chi-square 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 tend to approach a
Normal distribution?

Accepted Answer

A)  3 degrees 
B)  12 degrees 
C)  15 degrees 
D)  All three distributions would approach a normal distribution 
A)  3 degrees 
B)  12 degrees 
C)  15 degrees 
D)  All three distributions would approach a normal distribution

Question 10

The following table shows the adjustment to civilian life and place of residence.   Using the data from this Megastat printout, you determine:

Accepted Answer

A)  residence after prison release and adjustment to civilian life are not related, when tested at the 0.10 level of signiﬁcance. 
B)  residence after prison release and adjustment to civilian life are not related, when tested at the 0.05 level of signiﬁcance. 
C)  residence after prison release and adjustment to civilian life are related, when tested at the 0.10 level of signiﬁcance. 
D)  residence after prison release and adjustment to civilian life are related, when tested at the 0.05 level of signiﬁcance. 
E)  residence after prison release and adjustment to civilian life are not related, when tested at the 0.10 and 0.05 level of signiﬁcance. 
A)  residence after prison release and adjustment to civilian life are not related, when tested at the 0.10 level of signiﬁcance. 
B)  residence after prison release and adjustment to civilian life are not related, when tested at the 0.05 level of signiﬁcance. 
C)  residence after prison release and adjustment to civilian life are related, when tested at the 0.10 level of signiﬁcance. 
D)  residence after prison release and adjustment to civilian life are related, when tested at the 0.05 level of signiﬁcance. 
E)  residence after prison release and adjustment to civilian life are not related, when tested at the 0.10 and 0.05 level of signiﬁcance.

Question 11

A question has these possible choices-excellent, very good, good, fair and unsatisfactory. How
Many degrees of freedom are there, using the goodness-of-ﬁt test to the sample results?

Accepted Answer

A)  0 
B)  2 
C)  4 
D)  5 
A)  0 
B)  2 
C)  4 
D)  5

Question 12

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 expected frequency for people against the project and who have over 120 feet of
Property foot-frontage?

Accepted Answer

A)  1.1 
B)  3.9 
C)  5.0 
D)  5.5 
A)  1.1 
B)  3.9 
C)  5.0 
D)  5.5

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.  
 
Using the data from this Megastat printout, you determine:

Accepted Answer

A)  the letter grades are evenly distributed when tested at the 0.05 level of signiﬁcance. 
B)  the letter grades are not normally distributed when tested at the 0.01 level of signiﬁcance. 
C)  the letter grades are normally distributed when tested at the 0.05 level of signiﬁcance. 
D)  the letter grades are not normally distributed when tested at the 0.05 level of signiﬁcance. 
E)  the letter grades are not normally distributed when tested at either the 0.01 or 0.05 level of signiﬁcance. 
A)  the letter grades are evenly distributed when tested at the 0.05 level of signiﬁcance. 
B)  the letter grades are not normally distributed when tested at the 0.01 level of signiﬁcance. 
C)  the letter grades are normally distributed when tested at the 0.05 level of signiﬁcance. 
D)  the letter grades are not normally distributed when tested at the 0.05 level of signiﬁcance. 
E)  the letter grades are not normally distributed when tested at either the 0.01 or 0.05 level of signiﬁcance.

Question 14

A school is trying to determine if there is a relationship between gender and which of its 3 programs
That students enrol. 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.
Can we conclude that there is a relationship between gender and program? Use the 0.05
Signiﬁcance level.

Accepted Answer

A)  There is no evidence of a relationship between gender and program of study. 
B)  There is evidence of a relationship between gender and program of study. 
C)  Not enough information is given to reach a conclusion. 
A)  There is no evidence of a relationship between gender and program of study. 
B)  There is evidence of a relationship between gender and program of study. 
C)  Not enough information is given to reach a conclusion.

Question 15

At a recent car show, a sample of 125 people produced the following results. Use the 0.01
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 1% level of signiﬁcance. 
B)  Unable to reject the null hypothesis, there is a signiﬁcant relationship between age and model preferred at the 1% level of signiﬁcance. 
C)  Reject the null hypothesis, there is insuﬃcient evidence to show a signiﬁcant relationship between age and model preference at the 1% level of signiﬁcance. 
D)  Unable to reject the null hypothesis, there is insuﬃcient evidence to show a signiﬁcant relationship between age and model preference at the 1% level of signiﬁcance. 
A)  Reject the null hypothesis, there is a signiﬁcant relationship between age and model preferred at the 1% level of signiﬁcance. 
B)  Unable to reject the null hypothesis, there is a signiﬁcant relationship between age and model preferred at the 1% level of signiﬁcance. 
C)  Reject the null hypothesis, there is insuﬃcient evidence to show a signiﬁcant relationship between age and model preference at the 1% level of signiﬁcance. 
D)  Unable to reject the null hypothesis, there is insuﬃcient evidence to show a signiﬁcant relationship between age and model preference at the 1% level of signiﬁcance.

Question 16

Six people have declared their intentions to run for a trustee seat in the next local election. A
Political poll is conducted during the campaign among 1,020 voters to determine if there is any clear
Preference among the voters. The responses are shown below.  
What is the critical value at the 5% level of signiﬁcance?

Accepted Answer

A)  11.070 
B)  3.841 
C)  5.991 
D)  9.236 
E)  9.438 
A)  11.070 
B)  3.841 
C)  5.991 
D)  9.236 
E)  9.438

Question 17

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. The alternative hypothesis states that there is a difference between the observed frequencies
And the expected frequencies in a goodness-of-ﬁt test.
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 18

i. Nonparametric tests require no assumptions about the shape of the population distribution.
ii. 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.
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 19

i. The chi-square distribution is positively skewed.
ii. Nonparametric tests of hypothesis, which are also called distribution free tests, require the
Population to be normally distributed.
iii. The computed value of chi-square is always positive because the difference between the
Observed frequencies and the expected frequencies are squared.

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 20

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 F's?

Accepted Answer

A)  10.00 
B)  2.28 
C)  2.62 
D)  13.59 
E)  4.56 
A)  10.00 
B)  2.28 
C)  2.62 
D)  13.59 
E)  4.56

For a chi-square test involving a contingency table, suppose the null hypothesis is rejected. We Conclude that the two variables are:

What is our decision regarding the differences between the observed and expected frequencies if The critical value of chi-square is 9.488 and the computed value is 6.079?

The following table shows the adjustment to civilian life and place of residence. What is the critical value for this contingency table at the 0.01 level of signiﬁcance?

The educational level and the social activity of a sample of executives follow. What does the expected frequency for the "above average" social activity and "high school" Education equal?

Two chi-square 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 tend to approach a Normal distribution?

The following table shows the adjustment to civilian life and place of residence. Using the data from this Megastat printout, you determine:

A question has these possible choices-excellent, very good, good, fair and unsatisfactory. How Many degrees of freedom are there, using the goodness-of-ﬁt test to the sample results?

At a recent car show, a sample of 125 people produced the following results. Use the 0.01 Signiﬁcance level to determine if there is a relationship between age and model preferred.

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