Deck 11: Other Chi-Square Tests

Question 1

Answer 1

B

Question 2

Answer 2

False

Question 3

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

Answer 3

True

Question 4

In a goodness of fit test between one observed frequency distribution and one expected
frequency distribution, the degrees of freedom are equal to the number of categories
minus two.

Question 5

A) 14.902
B) 9.488
C) 11.143
D) 16.873

Question 6

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

Question 7

The formula for finding the chi-square test value is .

Question 8

A) 3.940
B) 16.919
C) 20.483
D) 18.307

Question 9

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

Question 10

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

Question 11

A) 14.332
B) 13.277
C) 15.086
D) 12.356

Question 12

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

Question 13

Frequencies obtained by calculation are called expected frequencies.

Question 14

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 15

A) 17.85, 29.75, 41.65, 11.9, 17.85
B) 28, 11, 38, 13, 29
C) 0.235, 0.092, 0.319, 0.109, 0.244
D) 23.8, 23.8, 23.8, 23.8, 23.8

Question 16

Question 17

Question 18

Question 19

A) 37.8, 27, 10.8, 10.8, 21.6
B) 0.398, 0.185, 0.093, 0.037, 0.287
C) 43, 20, 10, 4, 31
D) 21.6, 21.6, 21.6, 21.6, 21.6

Question 20

Find the area to the right of 5.578 under the chi-square distribution with 11 degrees of freedom.

A) 0.9
B) 0.1
C) 1.35
D) 0.45

Question 21

A) There is evidence to reject the claim that students are equally distributed between the four classes because the test value 7.815 > 5.733
B) There is not evidence to reject the claim that students are equally distributed between the four classes because the test value 5.733 < 7.815
C) There is evidence to reject the claim that students are equally distributed between the four classes because the test value 9.488 > 5.733
D) There is not evidence to reject the claim that the customers' preferences are distributed between the four classes because the test value 5.733 < 9.488

Question 22

A) There is evidence to reject the claim that the favorite music types are distributed as claimed because the test value 16.170 > 9.488
B) There is evidence to reject the claim that the favorite music types are distributed as claimed because the test value 16.170 > 7.815
C) There is not evidence to reject the claim that the favorite music types are distributed as claimed because the test value 9.488 < 16.170
D) There is not evidence to reject the claim that the favorite music types are distributed as claimed because the test value 11.070 < 16.170

Question 23

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

Question 24

A) There is not evidence to reject the claim that the customers' preferences are distributed as claimed because the test value 4.455 < 7.815
B) There is evidence to reject the claim that the customers' preferences are distributed as claimed because the test value 7.815 > 4.455
C) There is not evidence to reject the claim that the customers' preferences are distributed as claimed because the test value 4.455 < 5.991
D) There is evidence to reject the claim that the customers' preferences are distributed as claimed because the test value 5.991 > 4.455

Question 25

A) There is not evidence to reject the claim that the oranges are distributed as claimed because the test value 9.488 < 18.845
B) There is evidence to reject the claim that the oranges are distributed as claimed because the test value 18.845 > 9.488
C) There is not evidence to reject the claim that the oranges are distributed as claimed because the test value 5.991 < 18.845
D) There is evidence to reject the claim that the oranges are distributed as claimed because the test value 18.845 > 7.815

Question 26

A) There is not evidence to reject the claim that the books are distributed as claimed because the test value 2.110 < 9.488
B) There is evidence to reject the claim that the books are distributed as claimed because the test value 9.488 > 2.110
C) There is evidence to reject the claim that the books are distributed as claimed because the test value 7.815 > 2.110
D) There is not evidence to reject the claim that the books are distributed as claimed because the test value 2.110 < 7.815

Question 27

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

Question 28

Question 29

Question 30

Question 31

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

Question 32

A) There is evidence to reject the claim that the students' plans are distributed as claimed because the test value 4.198 < 5.991
B) There is evidence to reject the claim that the students' plans are distributed as claimed because the test value 4.198 < 7.815
C) There is not evidence to reject the claim that the students' plans are distributed as claimed because the test value 4.198 < 5.991
D) There is not evidence to reject the claim that the students' plans are distributed as claimed because the test value 4.198 < 7.815

Question 33

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

Question 34

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

Question 35

Question 36

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

Question 37

Question 38

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 Chicago wanted to determine if people in Chicago had similar
feelings toward their health. In a sample of 610 people in Chicago, 70 described
their health as poor, 180 as good, 220 as very good, and 140 as excellent.
Compute the test value.

Question 39

A) There is evidence to reject the claim that the apartments are equally distributed between the three sizes because the test value 5.991 > 2.688
B) There is not evidence to reject the claim that the apartments are equally distributed between the three sizes because the test value 2.688 < 7.815
C) There is evidence to reject the claim that the apartments are equally distributed between the three sizes because the test value 7.815 > 2.688
D) There is not evidence to reject the claim that the apartments are equally distributed between the three sizes because the test value 2.688 < 5.991

Question 40

A) There is evidence to reject the claim that the monitors are equally distributed between the five classes because the test value 9.940 > 11.070
B) There is not evidence to reject the claim that the monitors are equally distributed between the five classes because the test value 11.070 < 9.940
C) There is not evidence to reject the claim that the monitors are equally distributed between the five classes because the test value 9.488 < 9.940
D) There is evidence to reject the claim that the monitors are equally distributed between the five classes because the test value 9.940 > 9.488

Question 41

A) There is evidence to reject the claim that the allergy diagnosis and the doctor are not related because the trest value 15.507 > 1.980
B) There is not evidence to reject the claim that the allergy diagnosis and the doctor are not related because the test value 1.980 > 15.507
C) There is evidence to reject the claim that the allergy diagnosis and the doctor are not related because the test value 7.815 > 5.908
D) There is not evidence to reject the claim that the allergy diagnosis and the doctor are not related because the test value 5.908 < 7.815

Question 42

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

Question 43

Question 44

Question 45

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

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

Question 46

A) Yes
B) No

Question 47

A) There is evidence to reject the claim that the meal preference and the gender of the student are not related because the test value 3.841 > 1.343
B) There is not evidence to reject the claim that the meal preference and the gender of the student are not related because the test value 1.138 < 9.488
C) There is not evidence to reject the claim that the meal preference and the gender of the student are not related because the test value 9.488 < 1.138
D) There is not evidence to reject the claim that the meal preference and the gender of the student are not related because the test value 1.343 < 3.841

Question 48

A) There is evidence to reject the claim that the sugar content of the apple type and the orchard number are not related because the test value 12.592 > 1.375
B) There is evidence to reject the claim that the sugar content of the apple type and the orchard number are not related because the test value 5.991 > 2.625
C) There is not evidence to reject the claim that the sugar content of the apple type and the orchard number are not related because the test value 1.375 < 12.592
D) There is not evidence to reject the claim that the sugar content of the apple type and the orchard number are not related because the test value 2.625 < 5.991

Question 49

Question 50

A contingency table has 5 rows and 4 columns. How many degrees of freedom are there?

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

Question 51

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

Question 52

Question 53

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

Question 54

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

Question 55

Question 56

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

Question 57

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

Question 58

The degrees of freedom for a 7×5 contingency table would be 24.

Question 59

A) There is not evidence to reject the claim that the size of hard drive sold and the store number are not related because the test value 2.125 < 7.815
B) There is evidence to reject the claim that the size of hard drive sold and the store number are not related because the test value 15.507 > 2.125
C) There is evidence to reject the claim that the size of hard drive sold and the store number are not related because the test value 7.815 > 2.125
D) There is evidence to reject the claim that the size of hard drive sold and the store number are not related because the test value 20.417 > 7.815

Question 60

A) There is not evidence to reject the claim that the high school and the section of participation are independent because the test value 1.478 < 5.991
B) There is evidence to reject the claim that the high school and the section of participation are independent because the test value 9.030 > 5.991
C) There is evidence to reject the claim that the high school and the section of participation are independent because the test value 5.991 > 1.478
D) There is evidence to reject the claim that the high school and the section of participation are independent because the test value 12.592 > 1.478

Question 61

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

Question 62

A) There is evidence to reject the claim that the proportions are equal because the test value 5.991 > 2.109
B) There is not evidence to reject the claim that the proportions are equal because the test value 2.109 < 5.991
C) There is evidence to reject the claim that the proportions are equal because the test value 2.109 < 5.991
D) There is not evidence to reject the claim that the proportions are equal because the test value 5.991 > 2.109

Question 63

Question 64

A) There is evidence to reject the claim that the rodent type and the success of finishing the maze are not related because the test value 3.841 < 7.827
B) There is evidence to reject the claim that the rodent type and the success of finishing the maze are not related because the test value 7.827 > 3.841
C) There is evidence to reject the claim that the rodent type and the success of finishing the maze are not related because the test value 2.382 < 9.488
D) There is evidence to reject the claim that the rodent type and the success of finishing the maze are not related because the test value 9.488 > 2.382

Question 65

If the null hypothesis is not rejected, it can be assumed the proportions are 67)
and the differences in them are due to chance.

Question 66

A) There is not evidence to reject the claim that the proportions are equal because the test value 2.053 < 3.841
B) There is evidence to reject the claim that the proportions are equal because the test value 9.488 > 0.821
C) There is evidence to reject the claim that the proportions are equal because the test value 3.841 > 0.821
D) There is not evidence to reject the claim that the proportions are equal because the test value 2.053 < 9.488

Question 67

Question 68

A) There is not evidence to reject the claim that the proportions are equal because the test value 5.359 < 5.991
B) There is evidence to reject the claim that the proportions are equal because the test value 5.359 < 5.991
C) There is evidence to reject the claim that the proportions are equal because the test value 5.991 > 5.359
D) There is not evidence to reject the claim that the proportions are equal because the test value 5.991 > 5.359

Question 69

Question 70

A) There is evidence to reject the claim that the proportions are equal because the test value 4.912 < 9.488
B) There is evidence to reject the claim that the proportions are equal because the test value 9.488 > 1.404
C) There is evidence to reject the claim that the proportions are equal because the test value 4.912 > 3.841
D) There is not evidence to reject the claim that the proportions are equal because the test value 3.841 > 1.404

Question 71

Question 72

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

Question 73