Question 1

What is our decision for a goodness-of-ﬁt test with a computed value of chi-square of 1.273 and a
Critical value of 13.388?

Accepted Answer

A)  Do not reject the null hypothesis. 
B)  Reject the null hypothesis. 
C)  Unable to reject or not reject the null hypothesis based on data. 
D)  Should take a larger sample. 
A)  Do not reject the null hypothesis. 
B)  Reject the null hypothesis. 
C)  Unable to reject or not reject the null hypothesis based on data. 
D)  Should take a larger sample.

Question 2

At a recent car show, a sample of 125 people produced the following results. Calculate the value of
Chi-square to determine if there is a relationship between age and model preferred.

Accepted Answer

A)  9.89, there is a signiﬁcant relationship between age and model preferred at the 5% level of signiﬁcance. 
B)  9.99, there is a signiﬁcant relationship between age and model preferred at the 5% level of signiﬁcance. 
C)  8.89, there is insuﬃcient evidence to show a signiﬁcant relationship between age and model preference. 
D)  8.98, there is signiﬁcant relationship between age and model preferred at the 5% level of signiﬁcance. 
A)  9.89, there is a signiﬁcant relationship between age and model preferred at the 5% level of signiﬁcance. 
B)  9.99, there is a signiﬁcant relationship between age and model preferred at the 5% level of signiﬁcance. 
C)  8.89, there is insuﬃcient evidence to show a signiﬁcant relationship between age and model preference. 
D)  8.98, there is signiﬁcant relationship between age and model preferred at the 5% level of signiﬁcance.

Question 3

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 degrees of freedom for the analysis is:

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 4

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 who are undecided about the project and have property
Front-footage between 45 and 120 feet?

Accepted Answer

A)  2.2 
B)  3.9 
C)  5.0 
D)  7.7 
A)  2.2 
B)  3.9 
C)  5.0 
D)  7.7

Question 5

If we wanted to see if tossing a die (a cube with the sides numbered one through six) had an equal
Chance of showing each side or number, what statistical test should be applied?

Accepted Answer

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

Question 6

i. The minimum computed value of chi-square is one.
ii. The chi-square distribution is a positively skewed distribution.
iii. The lowest level of data for which the chi-square goodness-of-ﬁt test is appropriate is the
Nominal level.

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.  
Which of the following statements are correct?

Accepted Answer

A)  Property Front-footage and Opinion on the street widening are related when tested at the 0.10 level of signiﬁcance. 
B)  Property Front-footage and Opinion on the street widening are related when tested at the 0.05 level of signiﬁcance. 
C)  Property Front-footage and Opinion on the street widening are not related when tested at the 0.05 level of signiﬁcance. 
D)  Property Front-footage and Opinion on the street widening are not related when tested at the 0.20 level of signiﬁcance. 
E)  Property Front-footage and Opinion on the street widening are unrelated when tested at any level of signiﬁcance. 
A)  Property Front-footage and Opinion on the street widening are related when tested at the 0.10 level of signiﬁcance. 
B)  Property Front-footage and Opinion on the street widening are related when tested at the 0.05 level of signiﬁcance. 
C)  Property Front-footage and Opinion on the street widening are not related when tested at the 0.05 level of signiﬁcance. 
D)  Property Front-footage and Opinion on the street widening are not related when tested at the 0.20 level of signiﬁcance. 
E)  Property Front-footage and Opinion on the street widening are unrelated when tested at any level of signiﬁcance.

Question 8

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 critical value of chi-square at the 0.05 level?

Accepted Answer

A)  12.833 
B)  11.070 
C)  12.592 
D)  14.449 
E)  19.675 
A)  12.833 
B)  11.070 
C)  12.592 
D)  14.449 
E)  19.675

Question 9

Which of the following are correct statements regarding the goodness-of-ﬁt test?

Accepted Answer

A)  Data may be of nominal scale. 
B)  Population must be normal. 
C)  All the expected frequencies must be equal. 
D)  All of the choices are correct. 
A)  Data may be of nominal scale. 
B)  Population must be normal. 
C)  All the expected frequencies must be equal. 
D)  All of the choices are correct.

Question 10

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 who are in favour of the project and have less than 45
Feet of property foot-frontage?

Accepted Answer

A)  10 
B)  12 
C)  35 
D)  50 
A)  10 
B)  12 
C)  35 
D)  50

Question 11

i. Nonparametric tests of hypotheses, which are also called distribution free tests, require the
Population to be normally distributed.
ii. The shape of the chi-square distribution changes for each number of degrees of freedom.
iii. The chi-square distribution is a positively skewed 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 12

At a recent automobile 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.  
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. 
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 13

To ﬁnd the expected frequency in a contingency table:

Accepted Answer

A)  take the square root of the degrees of freedom. 
B)  multiply the row and column totals and divide by the grand total. 
C)  use the total number of observations minus one. 
A)  take the square root of the degrees of freedom. 
B)  multiply the row and column totals and divide by the grand total. 
C)  use the total number of observations minus one.

Question 14

i. The chi-square goodness-of-ﬁt test can be applied if there are equal or unequal expected
Frequencies.
ii. For a goodness-of-ﬁt test, the number of degrees of freedom is determined by k - 2, where k is
The number of categories.
iii. The sum of the expected frequencies in a goodness-of-ﬁt test need not equal the sum of the
Observed 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) is a correct statement, but (ii) and (iii) are false. 
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) is a correct statement, but (ii) and (iii) are false.

Question 15

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.  
Determine the null and alternate hypotheses.

Accepted Answer

A)  Ho: No preference among candidates exists H1: Preference among candidates. 
B)  Ho: Preference among candidates exists H1: No preference among candidates exists. 
C)  We are unable to determine because there are too many candidates. 
D)  We need more information to determine the null and alternate hypotheses. 
A)  Ho: No preference among candidates exists H1: Preference among candidates. 
B)  Ho: Preference among candidates exists H1: No preference among candidates exists. 
C)  We are unable to determine because there are too many candidates. 
D)  We need more information to determine the null and alternate hypotheses.

Question 16

i. If there are only two cells in a goodness-of-ﬁt test, we should expect 5 or more frequencies.
ii. 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.
iii. The null hypothesis in the goodness-of-ﬁt test is that there is no difference.

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

The chi-square distribution can assume:

Accepted Answer

A)  only positive values. 
B)  only negative values. 
C)  negative and positive values or zero. 
D)  only zero. 
A)  only positive values. 
B)  only negative values. 
C)  negative and positive values or zero. 
D)  only zero.

Question 18

What is the critical value at the 0.05 level of signiﬁcance for a goodness-of-ﬁt test if there are six
Categories?

Accepted Answer

A)  3.841 
B)  5.991 
C)  7.815 
D)  11.070 
A)  3.841 
B)  5.991 
C)  7.815 
D)  11.070

Question 19

i. Small differences between observed and expected frequencies are due to chance.
ii. The chi-square distribution with large degrees of freedom approaches a normal distribution.
iii. The chi-square distribution is positively skewed.

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

The educational level and the social activity of a sample of executives follow.   Using the data from this Megastat printout, you determine:

Accepted Answer

A)  social activity and education level are correlated. 
B)  social activity and education level are not related, based on the low p-value. 
C)  social activity and education level are strongly related, based on the low p-value. 
D)  increased levels of education result in increased social activity. 
E)  no conclusion is possible. 
A)  social activity and education level are correlated. 
B)  social activity and education level are not related, based on the low p-value. 
C)  social activity and education level are strongly related, based on the low p-value. 
D)  increased levels of education result in increased social activity. 
E)  no conclusion is possible.

What is our decision for a goodness-of-ﬁt test with a computed value of chi-square of 1.273 and a Critical value of 13.388?

At a recent car show, a sample of 125 people produced the following results. Calculate the value of Chi-square to determine if there is a relationship between age and model preferred.

If we wanted to see if tossing a die (a cube with the sides numbered one through six) had an equal Chance of showing each side or number, what statistical test should be applied?

i. The minimum computed value of chi-square is one. ii. The chi-square distribution is a positively skewed distribution. iii. The lowest level of data for which the chi-square goodness-of-ﬁt test is appropriate is the Nominal level.

Which of the following are correct statements regarding the goodness-of-ﬁt test?

i. Nonparametric tests of hypotheses, which are also called distribution free tests, require the Population to be normally distributed. ii. The shape of the chi-square distribution changes for each number of degrees of freedom. iii. The chi-square distribution is a positively skewed distribution.

At a recent automobile 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. Based on the analysis above, what can be concluded?

To ﬁnd the expected frequency in a contingency table:

The chi-square distribution can assume:

What is the critical value at the 0.05 level of signiﬁcance for a goodness-of-ﬁt test if there are six Categories?

i. Small differences between observed and expected frequencies are due to chance. ii. The chi-square distribution with large degrees of freedom approaches a normal distribution. iii. The chi-square distribution is positively skewed.

The educational level and the social activity of a sample of executives follow. Using the data from this Megastat printout, you determine:

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

What is our decision for a goodness-of-ﬁt test with a computed value of chi-square of 1.273 and a Critical value of 13.388?

At a recent car show, a sample of 125 people produced the following results. Calculate the value of Chi-square to determine if there is a relationship between age and model preferred.

If we wanted to see if tossing a die (a cube with the sides numbered one through six) had an equal Chance of showing each side or number, what statistical test should be applied?

i. The minimum computed value of chi-square is one. ii. The chi-square distribution is a positively skewed distribution. iii. The lowest level of data for which the chi-square goodness-of-ﬁt test is appropriate is the Nominal level.

Which of the following are correct statements regarding the goodness-of-ﬁt test?

i. Nonparametric tests of hypotheses, which are also called distribution free tests, require the Population to be normally distributed. ii. The shape of the chi-square distribution changes for each number of degrees of freedom. iii. The chi-square distribution is a positively skewed distribution.

At a recent automobile 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. Based on the analysis above, what can be concluded?

To ﬁnd the expected frequency in a contingency table:

The chi-square distribution can assume:

What is the critical value at the 0.05 level of signiﬁcance for a goodness-of-ﬁt test if there are six Categories?

i. Small differences between observed and expected frequencies are due to chance. ii. The chi-square distribution with large degrees of freedom approaches a normal distribution. iii. The chi-square distribution is positively skewed.

The educational level and the social activity of a sample of executives follow. Using the data from this Megastat printout, you determine:

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