Deck 15: Chi-Square

Question 1

For a set of data with the number of groups = 4 and the total N = 250, the degrees of freedom are equal to ______.

A) 3
B) 4
C) 249
D) 250

Answer 1

3

Question 2

For a set of data with the number of groups = 5 and the total N = 300, the expected frequency (f_e) for each group is equal to ______.

A) 30
B) 60
C) 120
D) 240

Answer 2

60

Question 3

For $\alpha$ = .05 and df = 2, the critical value for a chi-square statistic would be ______.

A) 5.991
B) 7.815
C) 9.348
D) 12.838

Answer 3

5.991

Question 4

For $\alpha$ = .01 and df = 3, the critical value for a chi-square statistic would be ______.

A) 9.488
B) 7.815
C) 13.277
D) 11.344

Question 5

For a set of data with the number of groups = 3 and the total N = 300, the expected frequency (f_e) for each group is equal to ______.

A) 40
B) 75
C) 100
D) 200

Question 6

For a set of data with the number of groups = 4 and the total N = 400, the expected frequency (f_e) for each group is equal to ______.

A) 40
B) 75
C) 100
D) 200

Question 7

For $\alpha$ = .05 and df = 4, the critical value for a chi-square statistic would be ______.

A) 5.989
B) 7.779
C) 7.815
D) 9.488

Question 8

For $\alpha$ = .01 and df = 4, the critical value for a chi-square statistic would be ______.

A) 9.488
B) 7.815
C) 13.277
D) 11.344

Question 9

In using the chi-square statistic, most if not all of the expected frequencies (f_e) should be ______.

A) greater than 10
B) greater than or equal to 5
C) greater than 5
D) greater than 0

Question 10

Which statistical procedure should be conducted if any of the expected frequencies (f_e) are less than 5?

A) Chi-square
B) Fisher's exact test
C) Yates' correction for continuity
D) ANOVA

Question 11

Which statistical procedure should be conducted if any of the expected frequencies (f_e) are greater than 10?

A) Chi-square
B) Fisher's exact test
C) Yates' correction for continuity
D) ANOVA

Question 12

Which statistical procedure should be conducted if any of the expected frequencies (f_e) are between 5 and 10?

A) Chi-square
B) Fisher's exact test
C) Yates' correction for continuity
D) ANOVA

Question 13

The assumption of independence is met when ______.

A) a researcher assigns each participant to only one group
B) a researcher assigns a participant to more than one group
C) a research collects data from a small sample
D) a research does not assign a participant to a group

Question 14

For a set of data with the number of groups = 3 and the total N = 500, the expected frequency (f_e) for each group is equal to ______.

A) 165
B) 166.67
C) 250
D) 300

Question 15

For a set of data with the number of groups = 5 and the total N = 200, the expected frequency (f_e) for each group is equal to ______.

A) 25
B) 30
C) 40
D) 50

Question 16

For a set of data with the number of groups = 3 and the total N = 196, the degrees of freedom are equal to ______.

A) 1
B) 2
C) 3
D) 195

Question 17

If most of the expected frequencies (f_e) are not greater than 5, the chi-square has the limited ability to resemble or approximate ______.

A) the sample
B) the population from which the sample was drawn
C) the normal curve
D) the sample from which the sub-sample was drawn

Question 18

One assumption of the chi-square statistic is that each observation in a set of data is ______.

A) independent of all other observations
B) dependent on all other observations
C) interrelated to other observations
D) independent of some observations and dependent on others

Question 19

For a set of data with the number of groups = 5 and the total N = 300, the degrees of freedom are equal to ______.

A) 300
B) 299
C) 5
D) 4

Question 20

In using the chi-square statistic, none of the expected frequencies (f_e) should be equal to ______.

A) 0
B) 1
C) 5
D) 10

Question 21

For $\chi$ ² = 8.56 with the number of groups = 6, the researcher would ______.

A) not reject the null hypothesis (p > .05)
B) reject the null hypothesis (p <.05)
C) reject the null hypothesis (p >.05)
D) reject the null hypothesis (p <.01)

Question 22

For $\chi$ ² = 4.05 with the number of groups = 3, the researcher would ______.

A) not reject the null hypothesis (p > .05)
B) not reject the null hypothesis (p < .05)
C) reject the null hypothesis (p >.05)
D) reject the null hypothesis (p <.05)

Question 23

For $\chi$ ² = 8.56 with the number of groups = 6, the researcher would ______.

A) reject the null hypothesis (p <.05)
B) reject the null hypothesis (p >.05)
C) not reject the null hypothesis (p > .05)
D) not reject the null hypothesis (p < .05)

Question 24

For a study that included 4 groups, the critical value for $\alpha$ = .01 would be ______.

A) 7.815
B) 9.348
C) 11.344
D) 13.277

Question 25

For $\chi$ ² = 12.22 with the number of groups = 4, the researcher would ______.

A) reject the null hypothesis (p <.05)
B) reject the null hypothesis (p >.05)
C) not reject the null hypothesis (p > .05)
D) not reject the null hypothesis (p < .05)

Question 26

For $\chi$ ² = 17.22 with the number of groups = 6, the researcher would ______.

A) reject the null hypothesis (p <.05)
B) reject the null hypothesis (p >.05)
C) not reject the null hypothesis (p > .05)
D) not reject the null hypothesis (p < .05)

Question 27

Calculate the chi-square statistic for the following data (assume equal expected frequencies).

A) 0.64
B) 31.18
C) 8.91
D) 60.00

Question 28

For a study that included 3 groups, the critical value for $\alpha$ = .01 would be ______.

A) 3.841
B) 5.991
C) 7.815
D) 9.210

Question 29

For $\chi$ ² = 6.56 with the number of groups = 4, the researcher would ______.

A) reject the null hypothesis (p <.05)
B) reject the null hypothesis (p >.05)
C) not reject the null hypothesis (p < .05)
D) not reject the null hypothesis (p > .05)

Question 30

For a study that included 5 groups, the critical value for $\alpha$ = .01 would be ______.

A) 13.277
B) 11.344
C) 11.070
D) 9.488

Question 31

Calculate the chi-square statistic for the following data (assume equal expected frequencies).

A) 14.85
B) 35.26
C) 42.89
D) 115.00

Question 32

Calculate the chi-square statistic for the following data (assume equal expected frequencies).

A) 125
B) 186.02
C) 204.56
D) 341.78

Question 33

For $\chi$ ² = 48.76 with the number of groups = 5, the researcher would ______.

A) not reject the null hypothesis (p > .05)
B) not reject the null hypothesis (p < .05)
C) reject the null hypothesis (p >.05)
D) reject the null hypothesis (p <.05)

Question 34

For $\chi$ sup>2 = 6.56 with the number of groups = 4, the researcher would ______.

A) reject the null hypothesis (p >.05)
B) reject the null hypothesis (p <.05)
C) not reject the null hypothesis (p >.05)
D) reject the null hypothesis (p <.01)

Question 35

For $\chi$ ² = 17.22 with the number of groups = 6, the researcher would ______.

A) not reject the null hypothesis (p > .05)
B) reject the null hypothesis (p <.05)
C) reject the null hypothesis (p >.05)
D) reject the null hypothesis (p <.01)

Question 36

For a study that included 3 groups, the critical value for $\alpha$ = .05 would be ______.

A) 3.841
B) 5.991
C) 7.815
D) 9.210

Question 37

Calculate the chi-square statistic for the following data (assume equal expected frequencies).

A) 2.12
B) 8.53
C) 30.12
D) 60.00

Question 38

For $\chi$ ² = 31.72 with the number of groups = 3, the researcher would ______.

A) not reject the null hypothesis (p > .05)
B) not reject the null hypothesis (p < .05)
C) reject the null hypothesis (p >.05)
D) reject the null hypothesis (p <.05)

Question 39

For $\chi$ ² = 8.88 with the number of groups = 4, the researcher would ______.

A) not reject the null hypothesis (p > .05)
B) reject the null hypothesis (p <.05)
C) reject the null hypothesis (p >.05)
D) reject the null hypothesis (p <.01)

Question 40

For $\chi$ ² = 48.76 with the number of groups = 5, the researcher would ______.

A) not reject the null hypothesis (p > .05)
B) reject the null hypothesis (p <.01)
C) reject the null hypothesis (p >.05)
D) reject the null hypothesis (p <.05)

Question 41

For $\chi$ ² = 31.72 with the number of groups = 3, the researcher would ______.

A) not reject the null hypothesis (p > .05)
B) reject the null hypothesis (p <.05)
C) reject the null hypothesis (p >.05)
D) reject the null hypothesis (p <.01)

Question 42

When reporting the results of a chi-square goodness of fit test, one would include ______.

A) the $\chi$ ² statistic, the expected frequencies, and the level of significance
B) the $\chi$ ² statistic, the level of significance, and the degrees of freedom
C) the expected frequencies, the $\chi$ ² statistic, and the degrees of freedom
D) the level of significance, the degrees of freedom, and the expected frequencies

Question 43

What is the expected frequency (f_e) for Type C?

A) 125.55
B) 235.03
C) 140.42
D) 94.01

Question 44

Calculate Cramér's $\phi$ for the following data: Use the following formula:

A) .01
B) .12
C) .82
D) .90

Question 45

Calculate Cramér's $\phi$ for the following data: Use the following formula:

A) .10
B) .03
C) 01
D) .21

Question 46

Calculate Cramér's $\phi$ for the following data: Use the following formula:

A) .12
B) .03
C) .20
D) .06

Question 47

What is the expected frequency (f_e) for Type B?

A) 125.55
B) 235.03
C) 140.42
D) 94.01

Question 48

Based on your calculations, which of the following best represents the decision regarding the null hypothesis? Use the following formula:

A) Do not reject H_{0 (p > .05).}
B) Do not reject H_{0 (p < .05).}
C) Reject H_{0 (p < .05).}
D) Reject H_{0 (p < .01).}

Question 49

For $\chi$ ² = 14.92 with number of groups = 5, the researcher would ______.

A) not reject the null hypothesis (p > .05)
B) reject the null hypothesis (p >.05)
C) reject the null hypothesis (p <.05)
D) reject the null hypothesis (p <.01)

Question 50

Calculate Cramér's $\phi$ for the following data: Use the following formula:

A) .17
B) .11
C) .23
D) .02

Question 51

For α = .05, which of the following is an appropriate critical value? Use the following formula:

A) 7.815
B) 9.488
C) 11.345
D) 13.277

Question 52

Calculate Cramér's $\phi$ for the following data: Use the following formula:

A) .06
B) .09
C) .13
D) .21

Question 53

Based on your calculations, which of the following best represents the decision regarding the null hypothesis? Use the following formula:

A) Do not reject H_{0 (p > .05)}
B) Do not reject H_{0 (p < .05)}
C) Reject H_{0 (p < .05)}
D) Reject H_{0 (p < .01)}

Question 54

What is the expected frequency (f_e) for Type A?

A) 125.55
B) 235.03
C) 140.42
D) 94.01

Question 55

Calculate Cramér's $\phi$ for the following data: Use the following formula:

A) .14
B) .09
C) .50
D) .56

Question 56

Calculate Cramér's $\phi$ for the following data: Use the following formula:

A) .02
B) .17
C) .05
D) .12

Question 57

What is Cramér's $\phi$ for the following data: $\chi$ ² = 20.22, N = 200; # groups= 4?

A) .18
B) .10
C) .07
D) .03

Question 58

For α = .05, which of the following is the appropriate critical value? Use the following formula:

A) 15.086
B) 13.277
C) 11.070
D) 9.488

Question 59

Calculate Cramér's $\phi$ for the following data: Use the following formula:

A) .01
B) .05
C) .10
D) .14

Question 60

Calculate Cramér's $\phi$ for the following data: Use the following formula:

A) .01
B) .02
C) .08
D) .14

Question 61

Calculate the expected frequency (f_e) for those who believe the police do a good job and are slightly afraid to walk after dark.

A) 37.62
B) 33.32
C) 53.75
D) 40.31

Question 62

What is the expected frequency (f_e) for Type C?

A) 9
B) 45
C) 27
D) 99

Question 63

Calculate the expected frequency (f_e) for those who believe the police do a good job and are somewhat afraid to walk after dark.

A) 37.62
B) 33.32
C) 53.75
D) 40.31

Question 64

Calculate the expected frequency (f_e) for those who believe the police do not do a good job and are slightly afraid to walk after dark.

A) 32.38
B) 28.68
C) 46.25
D) 34.69

Question 65

What is the expected frequency (f_e) for Type D?

A) 125.55
B) 235.03
C) 140.42
D) 94.01

Question 66

What is the expected frequency (f_e) for Type A?

A) 9
B) 45
C) 27
D) 99

Question 67

Calculate the expected frequency (f_e) for those who believe the police do a good job and are not at all afraid to walk after dark.

A) 37.62
B) 33.32
C) 53.75
D) 40.31

Question 68

Calculate the expected frequency (f_e) for those who believe the police do a good job and are not at all afraid to walk after dark.

A) 27.99
B) 26.47
C) 30.54
D) 29.46

Question 69

What is the expected frequency (f_e) for Type D?

A) 62.60
B) 93.90
C) 125.20
D) 31.30

Question 70

Calculate the expected frequency (f_e) for those who believe the police do a good job and are very afraid to walk after dark.

A) 37.62
B) 33.32
C) 53.75
D) 40.31

Question 71

What is the expected frequency (f_e) for Type B?

A) 9
B) 45
C) 27
D) 99

Question 72

What is the expected frequency (f_e) for Type C?

A) 62.60
B) 93.90
C) 125.20
D) 31.30

Question 73

Calculate the expected frequency (f_e) for those who believe the police do a good job and are very afraid to walk after dark.

A) 27.99
B) 26.47
C) 30.54
D) 29.46

Question 74

Calculate the expected frequency (f_e) for those who believe the police do not do a good job and are not at all afraid to walk after dark.

A) 32.38
B) 28.68
C) 46.25
D) 34.69

Question 75

Calculate the expected frequency (f_e) for those who believe the police do not do a good job and are very afraid to walk after dark.

A) 32.38
B) 28.68
C) 46.25
D) 34.69

Question 76

Calculate the expected frequency (f_e) for those who believe the police do not do a good job and are somewhat afraid to walk after dark.

A) 32.38
B) 28.68
C) 46.25
D) 34.69

Question 77

What is the expected frequency (f_e) for Type D?

A) 9
B) 45
C) 27
D) 99

Question 78

Calculate the expected frequency (f_e) for those who believe the police do a good job and are somewhat afraid to walk after dark.

A) 27.99
B) 26.47
C) 30.54
D) 29.46

Question 79

What is the expected frequency (f_e) for Type A?

A) 62.60
B) 93.90
C) 125.20
D) 31.30

Question 80

What is the expected frequency (f_e) for Type B?

A) 62.60
B) 93.90
C) 125.20
D) 31.30