Question 1

A contingency table involves

Accepted Answer

A)  one category of classification. 
B)  more than one variable on which subjects are classified. 
C)  no more than two levels of classification. 
D)  a substantially different computational approach. 
A)  one category of classification. 
B)  more than one variable on which subjects are classified. 
C)  no more than two levels of classification. 
D)  a substantially different computational approach. B

Question 2

In a contingency table, the expected frequency of any given cell is represented by this formula:

Accepted Answer

A) True 
 B)False  True

Question 3

A Goodness-of-fit test compares the observed number of frequencies with predicted frequencies.

Accepted Answer

A) True 
 B)False  True

Question 4

For a goodness-of-fit chi-square test, the degrees of freedom are equal to

Accepted Answer

A)  N - 1, where N is the number of observations. 
B)  C - 1, where C is the number of categories. 
C)  NC - 1. 
D)  ( N - 1)( C - 1). 
A)  N - 1, where N is the number of observations. 
B)  C - 1, where C is the number of categories. 
C)  NC - 1. 
D)  ( N - 1)( C - 1).

Question 5

Calculate and interpret Chi-square for the previous example.

Accepted Answer

χ ² = 1.44. Poverty level and e

Question 6

For the next several questions, assume that we had the following contingency table:
 
In the table above, the expected frequency in the Male/Disagree cell is closest to

Accepted Answer

A)  11. 
B)  5. 
C)  28. 
D)  9. 
A)  11. 
B)  5. 
C)  28. 
D)  9.

Question 7

The critical value of χ2

Accepted Answer

A)  decreases as we increase the degrees of freedom. 
B)  increases as we increase the degrees of freedom. 
C)  increases as we increase the number of observations ( N ). 
D)  varies only as a function of α, not as a function of the degrees of freedom. 
A)  decreases as we increase the degrees of freedom. 
B)  increases as we increase the degrees of freedom. 
C)  increases as we increase the number of observations ( N ). 
D)  varies only as a function of α, not as a function of the degrees of freedom.

Question 8

The denominator in chi-square is there to

Accepted Answer

A)  keep the resulting answer in perspective relative to the total frequency. 
B)  keep the result in perspective relative to the size of the expected frequency. 
C)  keep people honest. 
D)  control the probability of a Type II error. 
A)  keep the resulting answer in perspective relative to the total frequency. 
B)  keep the result in perspective relative to the size of the expected frequency. 
C)  keep people honest. 
D)  control the probability of a Type II error.

Question 9

Based on the previous example: 
a. What are the df? 
b. Calculate and interpret Chi-square.

Accepted Answer

a. df = 3 b. χ ² = 61.39. Poli

Question 10

Calculate and interpret Chi-square based on the contingency table you created.

Accepted Answer

χ ² = 159.24; adoption status a

Question 11

Calculate and interpret the z score based on the proportion of youth who end up in prison using the data from the previous example.

Accepted Answer

The answer of Calculate and interpret the z score based...

Question 12

Which of the following is the formula for a standard chi-square test?

Accepted Answer

A)    
B)    
C)    
D)  none of the above 
A)    
B)    
C)    
D)  none of the above

Question 13

In a chi-square test the expected frequency is

Accepted Answer

A)  the frequency you would expect if the null hypothesis were false. 
B)  the frequency you actually obtained. 
C)  the frequency you would expect if the null hypothesis were true. 
D)  Expected frequency has nothing to do with the null hypothesis. 
A)  the frequency you would expect if the null hypothesis were false. 
B)  the frequency you actually obtained. 
C)  the frequency you would expect if the null hypothesis were true. 
D)  Expected frequency has nothing to do with the null hypothesis.

Question 14

Indicate whether or not the following Chi-square statistics are significant: 
a. χ 2 = 2.75; k =2 
b. χ 2 = 11.00; k =5 
c. χ 2 = 12.40; df = 6

Accepted Answer

a. no 
b.

Question 15

A social worker has been asked to testify before her state legislature about the impact of long-term foster care on child outcomes and government spending. She knows that 60% of children who remained in the foster care system without being adopted ended up in prison. The figure for foster care children who were eventually adopted was 25%. These data were based on 500 children who remained in foster care and 800 children who were eventually adopted. Create the appropriate contingency table.

Accepted Answer

Expected frequencies appear in

Question 16

The difference between the chi-square test for a 2 × 2 table and one for a larger table is

Accepted Answer

A)  we must use a different formula. 
B)  a 2 × 2 is a goodness-of-fit chi-square. 
C)  you can't handle a contingency table larger than a 2 × 3. 
D)  There is no difference other than the number of cells we include. 
A)  we must use a different formula. 
B)  a 2 × 2 is a goodness-of-fit chi-square. 
C)  you can't handle a contingency table larger than a 2 × 3. 
D)  There is no difference other than the number of cells we include.

Question 17

A goodness-of-fit test is

Accepted Answer

A)  only used when we want to test the hypothesis that the categories are equally represented. 
B)  used when we want to test the hypothesis that some categories are more frequent that others. 
C)  used to test the null hypothesis that the data are distributed in a way that would be predicted by a theory. 
D)  probably the most common statistical test we have. 
A)  only used when we want to test the hypothesis that the categories are equally represented. 
B)  used when we want to test the hypothesis that some categories are more frequent that others. 
C)  used to test the null hypothesis that the data are distributed in a way that would be predicted by a theory. 
D)  probably the most common statistical test we have.

Question 18

With several categories in a goodness-of-fit test, a significant result means

Accepted Answer

A)  the categories increase in frequency from left to right. 
B)  the categories decrease in frequency from left to right. 
C)  the categories are equally frequent. 
D)  The test doesn't pay any attention to which category is larger than which other categories. 
A)  the categories increase in frequency from left to right. 
B)  the categories decrease in frequency from left to right. 
C)  the categories are equally frequent. 
D)  The test doesn't pay any attention to which category is larger than which other categories.

Question 19

A typical null hypothesis with a goodness-of-fit test as presented in the text might be

Accepted Answer

A)  the hypothesis that the means increase evenly across categories. 
B)  the hypothesis that the representation in each category is equal. 
C)  the hypothesis that subjects are normally distributed. 
D)  the hypothesis that the expected values are uniformly large. 
A)  the hypothesis that the means increase evenly across categories. 
B)  the hypothesis that the representation in each category is equal. 
C)  the hypothesis that subjects are normally distributed. 
D)  the hypothesis that the expected values are uniformly large.

Question 20

For the next several questions, assume that we had the following contingency table:
 
Which of the following are marginal totals?

Accepted Answer

A)  25 and 36 
B)  12 and 36 
C)  25, 9, and 82 
D)  61 and 21 
A)  25 and 36 
B)  12 and 36 
C)  25, 9, and 82 
D)  61 and 21

A contingency table involves

In a contingency table, the expected frequency of any given cell is represented by this formula:

A Goodness-of-fit test compares the observed number of frequencies with predicted frequencies.

For a goodness-of-fit chi-square test, the degrees of freedom are equal to

Calculate and interpret Chi-square for the previous example.

For the next several questions, assume that we had the following contingency table: In the table above, the expected frequency in the Male/Disagree cell is closest to

The critical value of χ²

The denominator in chi-square is there to

Based on the previous example: a. What are the df? b. Calculate and interpret Chi-square.

Calculate and interpret Chi-square based on the contingency table you created.

Calculate and interpret the z score based on the proportion of youth who end up in prison using the data from the previous example.

Which of the following is the formula for a standard chi-square test?

In a chi-square test the expected frequency is

Indicate whether or not the following Chi-square statistics are significant: a. χ ² = 2.75; k =2 b. χ ² = 11.00; k =5 c. χ ² = 12.40; df = 6

The difference between the chi-square test for a 2 × 2 table and one for a larger table is

A goodness-of-fit test is

With several categories in a goodness-of-fit test, a significant result means

A typical null hypothesis with a goodness-of-fit test as presented in the text might be

For the next several questions, assume that we had the following contingency table: Which of the following are marginal totals?

Introduction

Basic Concepts

Displaying Data

Measures of Central Tendency

Measures of Variability

The Normal Distribution

Basic Concepts of Probability

Sampling Distributions and Hypothesis Testing

Correlation

Regression

Multiple Regression

Hypothesis Tests Applied to Means: One Sample

Hypothesis Tests Applied to Means: Two Related Samples

Hypothesis Tests Applied to Means: Two Independent Samples

Power

One-Way Analysis of Variance

Factorial Analysis of Variance

Repeated-Measures Analysis of Variance

Nonparametric and Resampling Statistical Tests

Meta-Analysis

Filters

Exam 19: Chi-Square

A contingency table involves

In a contingency table, the expected frequency of any given cell is represented by this formula:

A Goodness-of-fit test compares the observed number of frequencies with predicted frequencies.

For a goodness-of-fit chi-square test, the degrees of freedom are equal to

Calculate and interpret Chi-square for the previous example.

For the next several questions, assume that we had the following contingency table: In the table above, the expected frequency in the Male/Disagree cell is closest to

The critical value of χ2

The denominator in chi-square is there to

Based on the previous example: a. What are the df? b. Calculate and interpret Chi-square.

Calculate and interpret Chi-square based on the contingency table you created.

Calculate and interpret the z score based on the proportion of youth who end up in prison using the data from the previous example.

Which of the following is the formula for a standard chi-square test?

In a chi-square test the expected frequency is

Indicate whether or not the following Chi-square statistics are significant: a. χ 2 = 2.75; k =2 b. χ 2 = 11.00; k =5 c. χ 2 = 12.40; df = 6

The difference between the chi-square test for a 2 × 2 table and one for a larger table is

A goodness-of-fit test is

With several categories in a goodness-of-fit test, a significant result means

A typical null hypothesis with a goodness-of-fit test as presented in the text might be

For the next several questions, assume that we had the following contingency table: Which of the following are marginal totals?

Introduction

Basic Concepts

Displaying Data

Measures of Central Tendency

Measures of Variability

The Normal Distribution

Basic Concepts of Probability

Sampling Distributions and Hypothesis Testing

Correlation

Regression

Multiple Regression

Hypothesis Tests Applied to Means: One Sample

Hypothesis Tests Applied to Means: Two Related Samples

Hypothesis Tests Applied to Means: Two Independent Samples

Power

One-Way Analysis of Variance

Factorial Analysis of Variance

Repeated-Measures Analysis of Variance

Nonparametric and Resampling Statistical Tests

Meta-Analysis

Filters

The critical value of χ²

Indicate whether or not the following Chi-square statistics are significant: a. χ ² = 2.75; k =2 b. χ ² = 11.00; k =5 c. χ ² = 12.40; df = 6