Deck 10: Chi-Square and Analysis of Variance Anova

Question 1

The chi-square independence test can be used to test the independence of two variables.

Answer 1

True

Question 2

Answer 2

True

Question 3

What is the test value?

A) 2.82
B) 100
C) 72.12
D) 33.78

Answer 3

B

Question 4

The chi-square goodness-of-fit test is always one-tailed left.

Question 5

In a goodness-of-fit test, the degrees of freedom are equal to the number of categories minus two.

Question 6

Question 7

The computational procedure for homogeneity of proportions differs from that of the test of independence
in that it takes into account the standard deviation.

Question 8

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

Question 9

What is the critical value?

A) 18.475
B) 16.812
C) 12.592
D) 14.067

Question 10

A contingency table is designated as (columns times rows) table.

Question 11

Frequencies obtained by calculation are called expected frequencies.

Question 12

The degrees of freedom for a contingency table would be 24.

Question 13

In a chi-square goodness-of-fit test, when there is close agreement between the observed frequency and
the expected frequency, the chi-square test value will be small.

Question 14

What is the expected value?

A) 112
B) 247
C) 120
D) 171

Question 15

What is the null hypothesis?

A) Children spend the same amount of time watching TV each day.
B) Children spend different amounts of time watching TV each day.
C) Children spend more time watching TV on weekends.
D) Children spend less than 2.6 hours a day watching TV.

Question 16

Before computing the test value, one must state the hypothesis.

Question 17

The test of independence of variables is used to determine whether two variables are independent of or
related to each other when a single sample is selected.

Question 18

A manager of a health club believes that 32% of the members joined his club in the winter, 24% joined in
the spring, 20% joined in the summer, and 24% joined in the fall. The number of memberships this year
shows that 110 joined in the winter, 70 joined in the spring, 60 in the summer, and 68 in the fall. The test value for this scenario would be 2.05.

Question 19

Question 20

The test of homogeneity of proportions is used to determine whether the proportions for a variable are
unequal when several samples are selected from different populations.

Question 21

A) 28.31
B) 16.77
C) 26.80
D) 21.50

Question 22

A) 9.5
B) 4.37
C) 5.72
D) 10.3

Question 23

Question 24

Question 25

State what the alternative hypothesis would be.

Question 26

Question 27

.

Question 28

What is the critical value?

A) 20.090
B) 13.362
C) 14.067
D) 15.507

Question 29

A) 6.18
B) 29.5
C) 11.56
D) 18.0

Question 30

What is the expected value?

A) 38
B) 25
C) 30
D) 28

Question 31

A contingency table has 5 rows and 4 columns. What are the degrees of freedom?

A) 20
B) 12
C) 16
D) 15

Question 32

Question 33

Question 34

Question 35

What is the test statistic?

A) 9.14
B) 23.21
C) 17.86
D) 16.36

Question 36

Question 37

Given that a contingency table has dimensions of 5 × 5, what is the critical value of chi-square at α = 0.05?

A) 37.652
B) 26.296
C) 31.410
D) 36.415

Question 38

A four-year university has decided to implement a new approach to teaching statistics. Full-time and
adjunct professors were surveyed to determine whether they preferred the traditional lecture approach or
a computer approach for teaching statistics. Use hypothesis testing to test the independence of opinion
between the two groups.

What is the expected value of an adjunct professor who prefers computer instruction?

A) 21.50
B) 13.50
C) 11.67
D) 9.83

Question 39

A contingency table is made up of 8 rows and 4 columns. How many degrees of freedom are present?

A) 32
B) 28
C) 24
D) 21

Question 40

A four-year university has decided to implement a new approach to teaching statistics. Full-time and
adjunct professors were surveyed to determine whether they preferred the traditional lecture approach or
a computer approach for teaching statistics. Use hypothesis testing to test the independence of opinion
between the two groups.

What is the expected value of a full-time professor who has no preference?

A) 13.50
B) 9.83
C) 6.17
D) 7.33

Question 41

A four-year university has decided to implement a new approach to teaching statistics. Full-time and
adjunct professors were surveyed to determine whether they preferred the traditional lecture approach or
a computer approach for teaching statistics. Use hypothesis testing to test the independence of opinion
between the two groups.

What is the expected value of an adjunct professor who prefers to lecture?

A) 7.33
B) 11.67
C) 21.50
D) 9.83

Question 42

Question 43

A) 1.596
B) 4.140
C) 1.686
D) 5.769

Question 44

Question 45

Question 46

A) 12.20
B) 15.25
C) 20.33
D) 30.50

Question 47

An assumption for the goodness-of-fit test is that the __________ frequency for each category must be
five or more.
________________________________________

Question 48

Question 49

A) 26
B) 45
C) 60
D) 90

Question 50

A four-year university has decided to implement a new approach to teaching statistics. Full-time and
adjunct professors were surveyed to determine whether they preferred the traditional lecture approach or
a computer approach for teaching statistics. Use hypothesis testing to test the independence of opinion
between the two groups.

What is the test value?

A) 0.36
B) 0.97
C) 0.14
D) 1.24

Question 51

Question 52

Question 53

A) 25
B) 30
C) 35
D) 50

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60

Question 61

If the null hypothesis is not rejected, it can be assumed the proportions are __________ and the
differences in them are due to chance.
________________________________________

Question 62

Question 63

The chi-square distribution is continuous, whereas the goodness-of-fit test is __________.
________________________________________

Question 64

The dean of a local school wants to determine if the grade distribution is independent of
the subject matter taught. How many degrees of freedom does this contingency table have?

Question 65

The two types of test that use a contingency table are the independence test and the __________ test.

Question 66

A research firm reported that 15% of those surveyed described their health as poor, 26% as good, 40% as
very good, and 19% as excellent. A health professional in Halifax wants to determine if people in Halifax
have similar feelings toward their health. In a sample of 610 people in Halifax, 70 described their health
as poor, 180 as good, 220 as very good, and 140 as excellent. Plot the observed and expected values and
calculate the test value.

Question 67

The degrees of freedom for a contingency table are __________.
________________________________________

Question 68

The method that uses the formula is called the __________ correction for
continuity.

Question 69

When data are arranged in table form for the chi-square independence test, it is called a __________
table.
________________________________________

Question 70

Question 71