Deck 15: Nonparametric Statistics: The Chi-Square Test

Question 1

A psychologist wanted to determine what was more important in the choice of a spouse: love or money. The psychologist surveyed 290 unmarried psychology students and asked them whether they would choose a prospective mate based on love or money. The professor was also interested to see if the choice would vary by gender. The professor found that 68 men preferred a spouse based on love, 33 men preferred a spouse based on money, 79 women preferred a spouse based on love, and 110 women preferred a spouse based on money.


-The critical value of the chi-square for this problem at p = .05 is

A)2.71
B)3.84
C)5.41
D)6.64

Answer 1

3.84

Question 2

A nonparametric statistical test has _____ power compared to a parametric statistical test.

A)more
B)less
C)the same
D)about the same

Answer 2

less

Question 3

A consumer psychologist was testing a new coffee blend. She randomly chose 230 people to try a taste of three samples (Sample A, Sample B, and Sample C). The results were that 98 people chose Sample A, 42 people chose Sample B, and 90 chose Sample C.

-The derived chi-square value for this problem is

A)23.93
B)16.55
C)17.16
D)14.14

Answer 3

23.93

Question 4

A psychologist wanted to determine what was more important in the choice of a spouse: love or money. The psychologist surveyed 290 unmarried psychology students and asked them whether they would choose a prospective mate based on love or money. The professor was also interested to see if the choice would vary by gender. The professor found that 68 men preferred a spouse based on love, 33 men preferred a spouse based on money, 79 women preferred a spouse based on love, and 110 women preferred a spouse based on money.

-The degrees of freedom for this chi-square problem are

A)1
B)2
C)5
D)200

Question 5

A psychologist wanted to determine what was more important in the choice of a spouse: love or money. The psychologist surveyed 290 unmarried psychology students and asked them whether they would choose a prospective mate based on love or money. The professor was also interested to see if the choice would vary by gender. The professor found that 68 men preferred a spouse based on love, 33 men preferred a spouse based on money, 79 women preferred a spouse based on love, and 110 women preferred a spouse based on money.


-The expected cell frequency for the men who preferred a spouse for love is

A)51.197
B)52.197
C)53.197
D)54.197

Question 6

A statistician in a small town wishes to determine if persons treated for an accident involving a joint injury were more likely to go to an orthopedist or a chiropractor. In the small town, there is only one orthopedist and one chiropractor. The orthopedist saw 118 people for joint injuries in one year. The chiropractor saw 83.

-The degrees of freedom for this chi-square problem are

A)1.
B)2.
C)5.
D)200.

Question 7

A psychologist wanted to determine what was more important in the choice of a spouse: love or money. The psychologist surveyed 290 unmarried psychology students and asked them whether they would choose a prospective mate based on love or money. The professor was also interested to see if the choice would vary by gender. The professor found that 68 men preferred a spouse based on love, 33 men preferred a spouse based on money, 79 women preferred a spouse based on love, and 110 women preferred a spouse based on money.


-The derived chi-square value for this problem is

A)69.37
B)17.16
C)6.09
D)3.84

Question 8

A consumer psychologist was testing a new coffee blend. She randomly chose 230 people to try a taste of three samples (Sample A, Sample B, and Sample C). The results were that 98 people chose Sample A, 42 people chose Sample B, and 90 chose Sample C.

-The degrees of freedom for this chi-square problem are

A)1
B)2
C)5
D)200

Question 9

Which of the following is not an assumption of the chi-square test?

A)the data come from normal distributions
B)independent scores
C)minimum of five scores per cell
D)dependent variable is a frequency or count

Question 10

A statistician in a small town wishes to determine if persons treated for an accident involving a joint injury were more likely to go to an orthopedist or a chiropractor. In the small town, there is only one orthopedist and one chiropractor. The orthopedist saw 118 people for joint injuries in one year. The chiropractor saw 83.


-The conclusion for this problem would be

A)people preferred the orthopedist significantly more at p < .02
B)people preferred the orthopedist significantly more at p < .001
C)people preferred the chiropractor more at p < .05
D)there was no significant difference between the two according to people's preference

Question 11

A psychologist wanted to determine what was more important in the choice of a spouse: love or money. The psychologist surveyed 290 unmarried psychology students and asked them whether they would choose a prospective mate based on love or money. The professor was also interested to see if the choice would vary by gender. The professor found that 68 men preferred a spouse based on love, 33 men preferred a spouse based on money, 79 women preferred a spouse based on love, and 110 women preferred a spouse based on money.

-The conclusion for this problem would be

A)an atherectomy is significantly more dangerous than a balloon angioplasty
B)a balloon angioplasty is significantly more dangerous than an atherectomy
C)an atherectomy is not significantly more dangerous than a balloon angioplasty
D)there is an insignificant difference between a balloon angioplasty and an atherectomy

Question 12

A chi-square test can be similar to a factorial ANOVA in that it can analyze two or more __________ at once.

A)independent variables
B)normal distributions
C)people or subjects
D)mean scores

Question 13

Chi-square tests are designed to determine whether an observed frequency differs from

A)chance or an expected value
B)the parametric value
C)the mean in the null hypothesis
D)the mean and standard deviation of the population

Question 14

A statistician in a small town wishes to determine if persons treated for an accident involving a joint injury were more likely to go to an orthopedist or a chiropractor. In the small town, there is only one orthopedist and one chiropractor. The orthopedist saw 118 people for joint injuries in one year. The chiropractor saw 83.


-The derived chi-square value for this problem is

A)3.94
B)1.09
C)5.69
D)6.09

Question 15

Karl Pearson originally called the chi-square test a

A)parametrically challenged test
B)normal distribution test
C)"jolly good" test
D)goodness-of-fit test

Question 16

A psychologist wanted to determine what was more important in the choice of a spouse: love or money. The psychologist surveyed 290 unmarried psychology students and asked them whether they would choose a prospective mate based on love or money. The professor was also interested to see if the choice would vary by gender. The professor found that 68 men preferred a spouse based on love, 33 men preferred a spouse based on money, 79 women preferred a spouse based on love, and 110 women preferred a spouse based on money.

-The derived chi-square value for this problem is

A)2.53
B)17.16
C)6.09
D)3.84

Question 17

A psychologist wanted to determine what was more important in the choice of a spouse: love or money. The psychologist surveyed 290 unmarried psychology students and asked them whether they would choose a prospective mate based on love or money. The professor was also interested to see if the choice would vary by gender. The professor found that 68 men preferred a spouse based on love, 33 men preferred a spouse based on money, 79 women preferred a spouse based on love, and 110 women preferred a spouse based on money.

-The expected cell frequency for the people living after atherectomy is

A)562.62
B)499.00
C)387
D)56.62

Question 18

A psychologist wanted to determine what was more important in the choice of a spouse: love or money. The psychologist surveyed 290 unmarried psychology students and asked them whether they would choose a prospective mate based on love or money. The professor was also interested to see if the choice would vary by gender. The professor found that 68 men preferred a spouse based on love, 33 men preferred a spouse based on money, 79 women preferred a spouse based on love, and 110 women preferred a spouse based on money.

-The degrees of freedom for this chi-square problem are

A)1
B)2
C)5
D)200

Question 19

A consumer psychologist was testing a new coffee blend. She randomly chose 230 people to try a taste of three samples (Sample A, Sample B, and Sample C). The results were that 98 people chose Sample A, 42 people chose Sample B, and 90 chose Sample C.

-The conclusion for this problem would be

A)there were significant differences in blend preferences at p < .05
B)there were significant blend preferences at p < .01
C)there were significant blend preferences at p < .001
D)there were no significant blend preference differences (p > .05)

Question 20

A psychologist wanted to determine what was more important in the choice of a spouse: love or money. The psychologist surveyed 290 unmarried psychology students and asked them whether they would choose a prospective mate based on love or money. The professor was also interested to see if the choice would vary by gender. The professor found that 68 men preferred a spouse based on love, 33 men preferred a spouse based on money, 79 women preferred a spouse based on love, and 110 women preferred a spouse based on money.


-The conclusion for this problem would be

A)a greater percentage of men than women married for love
B)a greater percentage of women than men married for love
C)more women married for love
D)more men married for money