Question 1

i. Nonparametric tests of hypotheses, which are also called distribution free tests, require the
Population to be normally distributed.
ii. The computed value of chi-square is always positive because the difference between the
Observed frequencies and the expected frequencies are squared.
iii. The shape of the chi-square distribution changes for each number of degrees of freedom.
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.

Accepted Answer

(ii) and (iii) are correct statements but (i).

Question 2

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.
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.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 3

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.
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.

Accepted Answer

(i) and (iii) are correct statements but (ii).

Question 4

To ﬁnd the expected frequency in a contingency table:
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.

Accepted Answer

multiply the row and column totals and divide by the grand total.

Question 5

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.
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.

Accepted Answer

(i) and (iii) are correct statements but (ii).

Question 6

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: 
What is the critical value at the 0.01 level of risk?
A) 7.779
B) 15.033
C) 13.277
D) 5.412

Accepted Answer

13.277

Question 7

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.
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.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 8

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

Accepted Answer

Data may be of nominal scale.

Question 9

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.
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.

Accepted Answer

(ii) and (iii) are correct statements but (i).

Question 10

i. The shape of the chi-square distribution changes for each number of degrees of freedom.
ii. The minimum computed value of chi-square is zero.
iii. The chi-square distribution is a positively skewed distribution.
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.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 11

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.
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.

Accepted Answer

(i) and (ii) are correct statements but (iii).

Question 12

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.
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.

Accepted Answer

(ii) and (iii) are correct statements but (i).

Question 13

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:

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

Accepted Answer

4

Question 14

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.
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.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 15

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.
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.

Accepted Answer

(ii) and (iii) are correct statements but (i).

Question 16

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.
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.

Accepted Answer

(i) and (ii) are correct statements but (iii).

Question 17

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?
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.

Accepted Answer

Do reject the null hypothesis.

Question 18

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?

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

Accepted Answer

Do reject the null hypothesis.

Question 19

i. Nonparametric tests require no assumptions about the shape of the population distribution.
ii. Tests of hypotheses for nominal or ordinal levels of measurement are called nonparametric or
Distribution-free tests.
iii. 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.
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.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 20

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) 7.815
B) 5.991
C) 43.773
D) 42.557

Accepted Answer

5.991

Quiz 14: Multiple Regression and Correlation Analysis

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.

To ﬁnd the expected frequency in a contingency table:

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: What is the critical value at the 0.01 level of risk?

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

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.

i. The shape of the chi-square distribution changes for each number of degrees of freedom. ii. The minimum computed value of chi-square is zero. iii. The chi-square distribution is a positively skewed distribution.

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.

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:

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.

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.

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.

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?

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?

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?