Question 1

An insurance investigator has observed the people with some astrological signs tend to be safer drivers than people with other signs.Using insurance records,the investigator classified 200 people according to their astrological signs and whether or not they were involved in a car accident during the previous 12 months.The data are as follows: $$\begin{array} {| l | c | c | c | } 
\hline& \text { Libra } & \text { Leo } & \text { Gemini } \
\hline \text { Accident } & 7 & 4 & 19 \
\text { No Accident } & 73 & 46 & 51 \
\hline
\end{array}$$ ​Do the data indicate a significant relationship between sign and accidents? Test at the .05 level of significance.

Accepted Answer

The answer of An insurance investigator has observed the people...

Question 2

A chi-square test for goodness of fit is used to examine the distribution of individuals across four categories,and a chi-square test for independence is used to examine the distribution of individuals across six categories in a 2 X 3 matrix of categories.Which test has the larger value for df?​

Accepted Answer

A) ​The goodness of fit has the larger value. 
B) ​The test for independence has the larger value. 
C) ​Both tests have the same df value. 
D) ​The df value depends on the sizes of the samples that are used.

Question 3

A sample of 100 people is classified by gender (male/female)and by whether or not they are registered voters.The sample consists of 80 females and 20 males,and has a total of 60 registered voters.If these data are used for a chi-square test for independence,what is the total number of females for the expected frequencies?​

Accepted Answer

A) ​32 
B) ​20 
C) ​48 
D) ​80

Question 4

Which of the following is a basic assumption for a chi-square hypothesis test?​

Accepted Answer

A) ​The population distribution(s) must be normal. 
B) ​The scores must come from an interval or ratio scale. 
C) ​The observations must be independent. 
D) ​The sample size is less than 30.

Question 5

​Which of the following accurately describes the chi-square distribution?

Accepted Answer

A) ​symmetrical with a mean of zero 
B) ​positively skewed with all values greater than or equal to zero 
C) ​negatively skewed with all values greater than or equal to zero 
D) ​symmetrical with a mean equal to n - 1

Question 6

If other factors are held constant,increasing the sample size for a chi-square test for independence will increase the likelihood of rejecting the null hypothesis.​

Accepted Answer

A) True 
 B)False

Question 7

A large value for the chi-square statistic indicates a large discrepancy between the sample data and the hypothesis.​

Accepted Answer

A) True 
 B)False

Question 8

A researcher is interested in the relationship between IQ and longevity.A sample of n = 200 obituaries is selected from the newspaper and old school records are consulted to determine the individuals' IQ scores when they were between the ages of 10 and 20.The individuals were then classified into two IQ groups and three age groups at the time of death.The data are as follows.Based on these results,is there a significant relationship between IQ and longevity? Test with α = .05.​

Accepted Answer

The answer of A researcher is interested in the relationship...

Question 9

The chi-square test for independence is similar to an independent-measures t test because it can be used to evaluate the difference between two populations or two treatment conditions.​

Accepted Answer

A) True 
 B)False

Question 10

How do you compute the df value for the chi-square test for independence?​

Accepted Answer

A) ​df = n - 1 
B) ​df = n - 2 
C) ​df = n - C 
D) ​df = (R-1)(C-1)

Question 11

Explain how the chi-square tests differ from parametric tests (such as t tests or ANOVA)with respect to the hypotheses,the data,and the assumptions underlying the test.

Accepted Answer

The answer of Explain how the chi-square tests differ from...

Question 12

The term expected frequencies refers to the frequencies ____.​

Accepted Answer

A) ​found in the sample data 
B) ​found in the population being examined 
C) ​computed from the null hypothesis 
D) ​that are hypothesized for the population being examined

Question 13

The phi-coefficient is used to evaluate effect size for the chi-square test for independence,provided the test has df = 1.​

Accepted Answer

A) True 
 B)False

Question 14

The observed frequencies for a chi-square test are always whole numbers (no fractions or decimals).​

Accepted Answer

A) True 
 B)False

Question 15

A chi-square test for goodness of fit has df = 2.How many categories were used to classify the individuals in the sample?​

Accepted Answer

A) ​two 
B) ​three 
C) ​four 
D) ​five

Exam 17: The Chi-Square Statistic: Tests for Goodness of Fit and Independence

A chi-square test for goodness of fit is used to examine the distribution of individuals across four categories,and a chi-square test for independence is used to examine the distribution of individuals across six categories in a 2 X 3 matrix of categories.Which test has the larger value for df?​

Which of the following is a basic assumption for a chi-square hypothesis test?​

​Which of the following accurately describes the chi-square distribution?

If other factors are held constant,increasing the sample size for a chi-square test for independence will increase the likelihood of rejecting the null hypothesis.​

A large value for the chi-square statistic indicates a large discrepancy between the sample data and the hypothesis.​

The chi-square test for independence is similar to an independent-measures t test because it can be used to evaluate the difference between two populations or two treatment conditions.​

How do you compute the df value for the chi-square test for independence?​

Explain how the chi-square tests differ from parametric tests (such as t tests or ANOVA)with respect to the hypotheses,the data,and the assumptions underlying the test.

The term expected frequencies refers to the frequencies ____.​

The phi-coefficient is used to evaluate effect size for the chi-square test for independence,provided the test has df = 1.​

The observed frequencies for a chi-square test are always whole numbers (no fractions or decimals).​

A chi-square test for goodness of fit has df = 2.How many categories were used to classify the individuals in the sample?​

A chi-square test for goodness of fit is used to examine the distribution of individuals across four categories,and a chi-square test for independence is used to examine the distribution of individuals across six categories in a 2 X 3 matrix of categories.Which test has the larger value for df?

Which of the following is a basic assumption for a chi-square hypothesis test?

Which of the following accurately describes the chi-square distribution?

If other factors are held constant,increasing the sample size for a chi-square test for independence will increase the likelihood of rejecting the null hypothesis.

A large value for the chi-square statistic indicates a large discrepancy between the sample data and the hypothesis.

The chi-square test for independence is similar to an independent-measures t test because it can be used to evaluate the difference between two populations or two treatment conditions.

How do you compute the df value for the chi-square test for independence?

The term expected frequencies refers to the frequencies ____.

The phi-coefficient is used to evaluate effect size for the chi-square test for independence,provided the test has df = 1.

The observed frequencies for a chi-square test are always whole numbers (no fractions or decimals).

A chi-square test for goodness of fit has df = 2.How many categories were used to classify the individuals in the sample?