Question 1

In a contingency analysis the expected values are based on the assumption that the two variables are independent of each other.

Accepted Answer

A) True 
 B)False  True

Question 2

A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday).It has collected the following data based on a random sample of 100 days.   What is the value of the test statistic needed to conduct a goodness of fit test?

Accepted Answer

A) 8.75 
B) 7.7794 
C) 2.46 
D) 2.50 
A) 8.75 
B) 7.7794 
C) 2.46 
D) 2.50 D

Question 3

It is believed that the number of drivers who are ticketed for speeding on a particular stretch of highway is a Poisson distribution with a mean of 3.5 per hour.A random sample of 100 hours is selected with the following results:   Given this information,it can be seen that the cells will need to be combined since the actual number of occurrences at some levels of x is less than 5.

Accepted Answer

A) True 
 B)False  False

Question 4

A study was recently done in the United States in which car owners were asked to indicate whether their most recent car purchase was a U.S.car,a German car,or a Japanese car.The people in the survey were divided by geographic region in the United States.The following data were recorded.   Given this situation,the null hypothesis to be tested is that the car origin is dependent on the geographical location of the buyer.

Accepted Answer

A) True 
 B)False

Question 5

Explain the basic logic behind the chi-square goodness-of-fit test.

Accepted Answer

The logic of chi-square goodness-of-fit

Question 6

A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday).It has collected the following data based on a random sample of 100 days.   Based on this information how many degrees for freedom are involved in this goodness of fit test?

Accepted Answer

A) 99 
B) 100 
C) 4 
D) 5 
A) 99 
B) 100 
C) 4 
D) 5

Question 7

A contingency table and a cross-tabulation table are two separate things and should not be used for the same purpose.

Accepted Answer

A) True 
 B)False

Question 8

The degrees of freedom for a contingency table with 11 rows and 10 columns is

Accepted Answer

A) 11. 
B) 10. 
C) 110. 
D) 90. 
A) 11. 
B) 10. 
C) 110. 
D) 90.

Question 9

How can the degrees of freedom be found in a contingency table with cross-classified data?

Accepted Answer

A) When df are equal to rows minus columns 
B) When df are equal to rows multiplied by columns 
C) When df are equal to rows minus 1 multiplied by columns minus 1 
D) Total number of cell minus 1 
A) When df are equal to rows minus columns 
B) When df are equal to rows multiplied by columns 
C) When df are equal to rows minus 1 multiplied by columns minus 1 
D) Total number of cell minus 1

Question 10

For a chi-square test involving a contingency table,suppose H0 is rejected.We conclude that the two variables are:

Accepted Answer

A) curvilinear. 
B) linear. 
C) related. 
D) not related. 
A) curvilinear. 
B) linear. 
C) related. 
D) not related.

Question 11

The reason that a decision maker might want to combine groups before performing a goodness-of-fit test is to avoid accepting the null hypothesis due to an inflated value of the test statistic.

Accepted Answer

A) True 
 B)False

Question 12

A study published in the American Journal of Public Health was conducted to determine whether the use of seat belts in motor vehicles depends on ethnic status in San Diego County.A sample of 792 children treated for injuries sustained from motor vehicle accidents was obtained,and each child was classified according to (1)ethnic status (Hispanic or non-Hispanic)and (2)seat belt usage (worn or not worn)during the accident.The number of children in each category is given in the table below.   Referring to these data,the calculated test statistic is:

Accepted Answer

A) approximately -0.9991. 
B) nearly -0.1368. 
C) about 48.1849. 
D) approximately 72.8063. 
A) approximately -0.9991. 
B) nearly -0.1368. 
C) about 48.1849. 
D) approximately 72.8063.

Question 13

A study was recently conducted in which people were asked to indicate which news medium was their preferred choice for national news.The following data were observed:   Given this data,if we wish to test whether the preferred news source is independent of age,the cell with the largest expected cell frequency is also the cell with the largest observed frequency.

Accepted Answer

A) True 
 B)False

Question 14

What does the term observed cell frequencies refer to?

Accepted Answer

A) The frequencies found in the population being examined 
B) The frequencies found in the sample being examined 
C) The frequencies computed from H0 
D) The frequencies computed from H1 
A) The frequencies found in the population being examined 
B) The frequencies found in the sample being examined 
C) The frequencies computed from H0 
D) The frequencies computed from H1

Question 15

In a chi-square contingency analysis,when expected cell frequencies drop below 5,the calculated chi-square value tends to be inflated and may inflate the true probability of ________ beyond the stated significance level.

Accepted Answer

A) committing a Type I error 
B) committing a Type II error 
C) Both A and B. 
D) All of the above. 
A) committing a Type I error 
B) committing a Type II error 
C) Both A and B. 
D) All of the above.

Question 16

A study published in the American Journal of Public Health was conducted to determine whether the use of seat belts in motor vehicles depends on ethnic status in San Diego County.A sample of 792 children treated for injuries sustained from motor vehicle accidents was obtained,and each child was classified according to (1)ethnic status (Hispanic or non-Hispanic)and (2)seat belt usage (worn or not worn)during the accident.The number of children in each category is given in the table below.   Referring to these data,which test would be used to properly analyze the data in this experiment?

Accepted Answer

A)    test for independence in a two-way contingency table 
B)    test for equal proportions in a one-way table 
C) ANOVA F-test for interaction in a 2 x 2 factorial design 
D)    goodness-of-fit test 
A)    test for independence in a two-way contingency table 
B)    test for equal proportions in a one-way table 
C) ANOVA F-test for interaction in a 2 x 2 factorial design 
D)    goodness-of-fit test

Question 17

Consider a goodness-of-fit test with a computed value of chi-square = 1.273 and a critical value = 13.388,the appropriate conclusion would be to:

Accepted Answer

A) reject H0. 
B) fail to reject H0. 
C) take a larger sample. 
D) take a smaller sample. 
A) reject H0. 
B) fail to reject H0. 
C) take a larger sample. 
D) take a smaller sample.

Question 18

If the calculated chi-square statistic is large,this is evidence to suggest the fit of the actual data to the hypothesized distribution is not good,and H0 should be rejected.

Accepted Answer

A) True 
 B)False

Question 19

The goodness-of-fit test is always a one-tail test with the rejection region in the upper tail.

Accepted Answer

A) True 
 B)False

Question 20

A goodness-of-fit test can decide whether a set of data comes from a specific hypothesized distribution.

Accepted Answer

A) True 
 B)False

In a contingency analysis the expected values are based on the assumption that the two variables are independent of each other.

A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday).It has collected the following data based on a random sample of 100 days. What is the value of the test statistic needed to conduct a goodness of fit test?

Explain the basic logic behind the chi-square goodness-of-fit test.

A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday).It has collected the following data based on a random sample of 100 days. Based on this information how many degrees for freedom are involved in this goodness of fit test?

A contingency table and a cross-tabulation table are two separate things and should not be used for the same purpose.

The degrees of freedom for a contingency table with 11 rows and 10 columns is

How can the degrees of freedom be found in a contingency table with cross-classified data?

For a chi-square test involving a contingency table,suppose H₀ is rejected.We conclude that the two variables are:

The reason that a decision maker might want to combine groups before performing a goodness-of-fit test is to avoid accepting the null hypothesis due to an inflated value of the test statistic.

What does the term observed cell frequencies refer to?

In a chi-square contingency analysis,when expected cell frequencies drop below 5,the calculated chi-square value tends to be inflated and may inflate the true probability of ________ beyond the stated significance level.

Consider a goodness-of-fit test with a computed value of chi-square = 1.273 and a critical value = 13.388,the appropriate conclusion would be to:

If the calculated chi-square statistic is large,this is evidence to suggest the fit of the actual data to the hypothesized distribution is not good,and H₀ should be rejected.

The goodness-of-fit test is always a one-tail test with the rejection region in the upper tail.

A goodness-of-fit test can decide whether a set of data comes from a specific hypothesized distribution.

The Where, why, and How of Data Collection

Graphs,charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Using Probability and Probability Distributions

Discrete Probability Distributions

Introduction to Continuous Probability Distributions

Introduction to Sampling Distributions

Estimating Single Population Parameters

Introduction to Hypothesis Testing

Estimation and Hypothesis Testing for Two Population Parameters

Hypothesis Tests and Estimation for Population Variances

Analysis of Variance

Introduction to Linear Regression and Correlation Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Introduction to Decision Analysis

Filters

Exam 13: Goodness-Of-Fit Tests and Contingency Analysis

In a contingency analysis the expected values are based on the assumption that the two variables are independent of each other.

A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday).It has collected the following data based on a random sample of 100 days. What is the value of the test statistic needed to conduct a goodness of fit test?

Explain the basic logic behind the chi-square goodness-of-fit test.

A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday).It has collected the following data based on a random sample of 100 days. Based on this information how many degrees for freedom are involved in this goodness of fit test?

A contingency table and a cross-tabulation table are two separate things and should not be used for the same purpose.

The degrees of freedom for a contingency table with 11 rows and 10 columns is

How can the degrees of freedom be found in a contingency table with cross-classified data?

For a chi-square test involving a contingency table,suppose H0 is rejected.We conclude that the two variables are:

The reason that a decision maker might want to combine groups before performing a goodness-of-fit test is to avoid accepting the null hypothesis due to an inflated value of the test statistic.

What does the term observed cell frequencies refer to?

In a chi-square contingency analysis,when expected cell frequencies drop below 5,the calculated chi-square value tends to be inflated and may inflate the true probability of ________ beyond the stated significance level.

Consider a goodness-of-fit test with a computed value of chi-square = 1.273 and a critical value = 13.388,the appropriate conclusion would be to:

If the calculated chi-square statistic is large,this is evidence to suggest the fit of the actual data to the hypothesized distribution is not good,and H0 should be rejected.

The goodness-of-fit test is always a one-tail test with the rejection region in the upper tail.

A goodness-of-fit test can decide whether a set of data comes from a specific hypothesized distribution.

The Where, why, and How of Data Collection

Graphs,charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Using Probability and Probability Distributions

Discrete Probability Distributions

Introduction to Continuous Probability Distributions

Introduction to Sampling Distributions

Estimating Single Population Parameters

Introduction to Hypothesis Testing

Estimation and Hypothesis Testing for Two Population Parameters

Hypothesis Tests and Estimation for Population Variances

Analysis of Variance

Introduction to Linear Regression and Correlation Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Introduction to Decision Analysis

Filters

For a chi-square test involving a contingency table,suppose H₀ is rejected.We conclude that the two variables are:

If the calculated chi-square statistic is large,this is evidence to suggest the fit of the actual data to the hypothesized distribution is not good,and H₀ should be rejected.