Question 1

A chi-squared distribution has a shape that is ____________________.

Accepted Answer

positively

Question 2

To produce expected values for a test of a contingency table,you multiply estimated joint probabilities for each cell by the total sample size,n.

Accepted Answer

A) True 
 B)False

Question 3

If each element in a population is classified into one and only one of several categories,the population is:

Accepted Answer

A) normal. 
B) multinomial. 
C) chi-squared. 
D) None of these choices. 
A) normal. 
B) multinomial. 
C) chi-squared. 
D) None of these choices.

Question 4

Of the values for a chi-squared test statistic listed below,which one is most likely to lead to rejecting the null hypothesis in a goodness-of-fit test?

Accepted Answer

A) 0 
B) .05 
C) 1.96 
D) 45 
A) 0 
B) .05 
C) 1.96 
D) 45

Question 5

If you want to compare two populations that each have more than two categories,you can use a chi-squared test of a(n)____________________.

Accepted Answer

The answer of If you want to compare two populations...

Question 6

You cannot use a chi-squared goodness-of-fit test when there are only two possible outcomes for each trial in your experiment.

Accepted Answer

A) True 
 B)False

Question 7

The number of degrees of freedom associated with a chi-squared test of a contingency table is ____________________.

Accepted Answer

(r−1)(c−1)

Question 8

To determine the critical values in the chi-squared distribution table,you need to know the:

Accepted Answer

A) sample size. 
B) degrees of freedom 
C) probability of Type II error. 
D) All of these choices are true. 
A) sample size. 
B) degrees of freedom 
C) probability of Type II error. 
D) All of these choices are true.

Question 9

A chi-squared test of a contingency table with 4 rows and 5 columns shows that the value of the test statistic is 22.18.Using a chi-squared table,the most accurate statement that can be made is:

Accepted Answer

A) p-value is greater than 0.05 
B) p-value is smaller than 0.025 
C) p-value is greater than 0.025 but smaller than 0.05 
D) p-value is greater than 0.10 
A) p-value is greater than 0.05 
B) p-value is smaller than 0.025 
C) p-value is greater than 0.025 but smaller than 0.05 
D) p-value is greater than 0.10

Question 10

A chi-squared test of a contingency table is applied to a contingency table with 3 rows and 4 columns for two qualitative variables.The degrees of freedom for this test must be 12.

Accepted Answer

A) True 
 B)False

Question 11

The following data are believed to have come from a normal probability distribution.   The mean of this sample equals 26.80,and the standard deviation equals 6.378.Use the goodness-of-fit test at the 5% significance level to test whether the data indeed come from a normal distribution.

Accepted Answer

H₀: The population has a normal distribut

Question 12

In 2011,the student body of a state university in Alabama consists of 30% freshmen,25% sophomores,27% juniors,and 18% seniors.A sample of 400 students taken from the 2012 student body showed that there are 138 freshmen,88 sophomores,94 juniors,and 80 seniors.Test with 5% significance level to determine whether the student body proportions have changed.

Accepted Answer

H₀: p₁ = .30,p₂ =.25,p₃ = 0.27,p₄ = .18 H₁: At

Question 13

A chi-squared test of a contingency table with 6 degrees of freedom results in a test statistic χ2 = 13.58.Using the χ2 tables,the most accurate statement that can be made about the p-value for this test is that:

Accepted Answer

A) p-value > .10 B) p-value > .05 C) .05 < p-value < .10 D) .025 < p-value < .05 A) p-value > .10 B) p-value > .05 C) .05 < p-value < .10 D) .025 < p-value < .05

Question 14

In conducting a chi-squared goodness-of-fit test,an essential condition is that all expected frequencies are at least five.

Accepted Answer

A) True 
 B)False

Question 15

A test for the differences between two proportions can be performed using the chi-squared distribution.

Accepted Answer

A) True 
 B)False

Question 16

The alternative hypothesis of a goodness-of-fit test states that ____________________ of the proportions is not equal to its value specified in H0.

Accepted Answer

Question 17

A chi-squared test of a contingency table can be used to infer that differences exist between ____________________ populations of nominal variables.

Accepted Answer

The answer of A chi-squared test of a contingency table...

Question 18

To describe a population with more than two categories you can only use a chi-squared goodness-of-fit test.

Accepted Answer

A) True 
 B)False

Question 19

Explain what is meant by the rule of five and what you should do if this rule is not met.

Accepted Answer

The rule of five requires that the expec

Question 20

The expected values of a contingency table are calculated based on the assumption that H0 is ____________________.

Accepted Answer

Exam 15: Chi-Squared Tests

A chi-squared distribution has a shape that is ____________________.

To produce expected values for a test of a contingency table,you multiply estimated joint probabilities for each cell by the total sample size,n.

If each element in a population is classified into one and only one of several categories,the population is:

Of the values for a chi-squared test statistic listed below,which one is most likely to lead to rejecting the null hypothesis in a goodness-of-fit test?

If you want to compare two populations that each have more than two categories,you can use a chi-squared test of a(n)____________________.

You cannot use a chi-squared goodness-of-fit test when there are only two possible outcomes for each trial in your experiment.

The number of degrees of freedom associated with a chi-squared test of a contingency table is ____________________.

To determine the critical values in the chi-squared distribution table,you need to know the:

A chi-squared test of a contingency table with 4 rows and 5 columns shows that the value of the test statistic is 22.18.Using a chi-squared table,the most accurate statement that can be made is:

A chi-squared test of a contingency table is applied to a contingency table with 3 rows and 4 columns for two qualitative variables.The degrees of freedom for this test must be 12.

The following data are believed to have come from a normal probability distribution. The mean of this sample equals 26.80,and the standard deviation equals 6.378.Use the goodness-of-fit test at the 5% significance level to test whether the data indeed come from a normal distribution.

A chi-squared test of a contingency table with 6 degrees of freedom results in a test statistic χ2 = 13.58.Using the χ2 tables,the most accurate statement that can be made about the p-value for this test is that:

In conducting a chi-squared goodness-of-fit test,an essential condition is that all expected frequencies are at least five.

A test for the differences between two proportions can be performed using the chi-squared distribution.

The alternative hypothesis of a goodness-of-fit test states that ____________________ of the proportions is not equal to its value specified in H0.

A chi-squared test of a contingency table can be used to infer that differences exist between ____________________ populations of nominal variables.

To describe a population with more than two categories you can only use a chi-squared goodness-of-fit test.

Explain what is meant by the rule of five and what you should do if this rule is not met.

The expected values of a contingency table are calculated based on the assumption that H0 is ____________________.

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

A chi-squared test of a contingency table with 6 degrees of freedom results in a test statistic χ² = 13.58.Using the χ² tables,the most accurate statement that can be made about the p-value for this test is that:

The alternative hypothesis of a goodness-of-fit test states that ____________________ of the proportions is not equal to its value specified in H₀.

The expected values of a contingency table are calculated based on the assumption that H₀ is ____________________.