Question 1

To use contingency analysis for numerical data,which of the following is true?

Accepted Answer

A) Contingency analysis cannot be used for numerical data. 
B) Numerical data must be broken up into specific categories. 
C) Contingency analysis can be used for numerical data only if both variables are numerical. 
D) Contingency analysis can be used for numerical data only if it is interval data. 
A) Contingency analysis cannot be used for numerical data. 
B) Numerical data must be broken up into specific categories. 
C) Contingency analysis can be used for numerical data only if both variables are numerical. 
D) Contingency analysis can be used for numerical data only if it is interval data.

Question 2

The Bradfield Container Company makes "cardboard" boxes for commercial use (i.e.,pizza boxes).One of the big issues for the company is the set-up time required to change over from one order to the next.At one particular machine,the set-up time is thought to be uniformly distributed between 10 and 21 minutes.To test whether this is true or not,a random sample of 180 set-ups on this machine was selected with set-up time rounded to the nearest two-minute intervals.The following results occurred:   a.What are the appropriate null and alternative hypothesis to be tested?
b.Based on the null and alternative hypotheses stated in part a,determine the expected frequencies for each set-up time category.
c.Assuming that we wish to conduct the hypothesis test at the .05 level,what is the critical value that should be used?
d.Compute the test statistic and carry out the hypothesis test.

Accepted Answer

a.The null and alternative hypotheses ar

Question 3

A lube and oil change business believes that the number of cars that arrive for service is the same each day of the week.If the business is open six days a week (Monday - Saturday)and a random sample of n = 200 customers is selected,the expected number that will arrive on Monday is about 33.33.

Accepted Answer

A) True 
 B)False

Question 4

Many companies use well-known celebrities as spokespeople in their TV advertisements.A study was conducted to determine whether brand awareness of female TV viewers and the gender of the spokesperson are independent.Each in a sample of 300 female TV viewers was asked to identify a product advertised by a celebrity spokesperson.The gender of the spokesperson and whether or not the viewer could identify the product was recorded.The numbers in each category are given below.   Referring to these sample data,if the appropriate hypothesis test is to be conducted using a .05 level of significance,which of the following is correct critical value?

Accepted Answer

A) 9.4877 
B) 3.8415 
C) 1.96 
D) 7.8147 
A) 9.4877 
B) 3.8415 
C) 1.96 
D) 7.8147

Question 5

A lube and oil change business believes that the number of cars that arrive for service is the same each day of the week.If the business is open six days a week (Monday - Saturday)and a random sample of n = 200 customers is selected,the critical value for testing the hypothesis using a goodness-of-fit test is   = 9.2363 if the alpha level for the test is set at .10.

Accepted Answer

A) True 
 B)False

Question 6

The logic behind the chi-square goodness-of-fit test is based on determining how far the actual observed frequencies are from the expected frequencies.

Accepted Answer

A) True 
 B)False

Question 7

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,to test whether the car origin is independent of the geographical location of the buyer,the critical value for alpha = .10 is 14.6837.

Accepted Answer

A) True 
 B)False

Question 8

The Conrad Real Estate Company recently conducted a statistical test to determine whether the number of days that homes are on the market prior to selling is normally distributed with a mean equal to 50 days and a standard deviation equal to 10 days.The sample of 200 homes was divided into 8 groups to form a grouped data frequency distribution.The degrees of freedom for the test will be 7.

Accepted Answer

A) True 
 B)False

Question 9

If any of the observed frequencies are smaller than 5,then categories should be combined until all observed frequencies are at least 5.

Accepted Answer

A) True 
 B)False

Question 10

A cell phone company wants to determine if the use of text messaging is independent of age.The following data has been collected from a random sample of customers.   To conduct a contingency analysis,the number of degrees of freedom is:

Accepted Answer

A) 6. 
B) 5. 
C) 3. 
D) 2. 
A) 6. 
B) 5. 
C) 3. 
D) 2.

Question 11

When the expected cell frequencies are smaller than 5,the cells should be combined in a meaningful way such that the expected cell frequencies do exceed 5.

Accepted Answer

A) True 
 B)False

Question 12

A survey was recently conducted in which males and females were asked whether they owned a laptop personal computer.The following data were observed:   Given this information,if an alpha level of .05 is used,the critical value for testing whether the two variables are independent is   = 3.8415.

Accepted Answer

A) True 
 B)False

Question 13

A business with 5 copy machines keeps track of how many copy machines need service on a given day.It believes this is binomially distributed with a probability of p = 0.2 of each machine needing service on any given day.It has collected the following based on a random sample of 100 days.   Given this information the expected number of days on which exactly 1 machine breaks down is 40.96.

Accepted Answer

A) True 
 B)False

Question 14

The sampling distribution for a goodness-of-fit test is the Poisson distribution.

Accepted Answer

A) True 
 B)False

Question 15

Many companies use well-known celebrities as spokespeople in their TV advertisements.A study was conducted to determine whether brand awareness of female TV viewers and the gender of the spokesperson are independent.Each in a sample of 300 female TV viewers was asked to identify a product advertised by a celebrity spokesperson.The gender of the spokesperson and whether or not the viewer could identify the product was recorded.The numbers in each category are given below.   Referring to these sample data,which of the following values is the correct value of the test statistic?

Accepted Answer

A) Approximately 9.48 
B) Nearly 23.0 
C) About 3.84 
D) Approximately 5.94 
A) Approximately 9.48 
B) Nearly 23.0 
C) About 3.84 
D) Approximately 5.94

Question 16

In conducting a test of independence for a contingency table that has 4 rows and 3 columns,the number of degrees of freedom is 11.

Accepted Answer

A) True 
 B)False

Question 17

When the variables of interest are both categorical and the decision maker is interested in determining whether a relationship exists between the two,a statistical technique known as contingency analysis is useful.

Accepted Answer

A) True 
 B)False

Question 18

By combining cells we guard against having an inflated test statistic that could have led us to incorrectly accept the null hypothesis.

Accepted Answer

A) True 
 B)False

Question 19

Which of the following statements is true in the context of a chi-square goodness-of-fit test?

Accepted Answer

A) The degrees of freedom for determining the critical value will be the number of categories minus 1. 
B) The critical value will come from the standard normal table if the sample size exceeds 30. 
C) The null hypothesis will be rejected for a small value of the test statistic. 
D) A very large test statistic will result in the null not being rejected. 
A) The degrees of freedom for determining the critical value will be the number of categories minus 1. 
B) The critical value will come from the standard normal table if the sample size exceeds 30. 
C) The null hypothesis will be rejected for a small value of the test statistic. 
D) A very large test statistic will result in the null not being rejected.

Question 20

In a contingency analysis,the greater the difference between the actual and the expected frequencies,the more likely:

Accepted Answer

A) H0 should be rejected. 
B) H0 should be accepted. 
C) we cannot determine H0. 
D) the smaller the test statistic will be. 
A) H0 should be rejected. 
B) H0 should be accepted. 
C) we cannot determine H0. 
D) the smaller the test statistic will be.

To use contingency analysis for numerical data,which of the following is true?

A lube and oil change business believes that the number of cars that arrive for service is the same each day of the week.If the business is open six days a week (Monday - Saturday)and a random sample of n = 200 customers is selected,the expected number that will arrive on Monday is about 33.33.

The logic behind the chi-square goodness-of-fit test is based on determining how far the actual observed frequencies are from the expected frequencies.

If any of the observed frequencies are smaller than 5,then categories should be combined until all observed frequencies are at least 5.

A cell phone company wants to determine if the use of text messaging is independent of age.The following data has been collected from a random sample of customers. To conduct a contingency analysis,the number of degrees of freedom is:

When the expected cell frequencies are smaller than 5,the cells should be combined in a meaningful way such that the expected cell frequencies do exceed 5.

A survey was recently conducted in which males and females were asked whether they owned a laptop personal computer.The following data were observed: Given this information,if an alpha level of .05 is used,the critical value for testing whether the two variables are independent is = 3.8415.

The sampling distribution for a goodness-of-fit test is the Poisson distribution.

In conducting a test of independence for a contingency table that has 4 rows and 3 columns,the number of degrees of freedom is 11.

When the variables of interest are both categorical and the decision maker is interested in determining whether a relationship exists between the two,a statistical technique known as contingency analysis is useful.

By combining cells we guard against having an inflated test statistic that could have led us to incorrectly accept the null hypothesis.

Which of the following statements is true in the context of a chi-square goodness-of-fit test?

In a contingency analysis,the greater the difference between the actual and the expected frequencies,the more likely:

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

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

To use contingency analysis for numerical data,which of the following is true?

A lube and oil change business believes that the number of cars that arrive for service is the same each day of the week.If the business is open six days a week (Monday - Saturday)and a random sample of n = 200 customers is selected,the expected number that will arrive on Monday is about 33.33.

The logic behind the chi-square goodness-of-fit test is based on determining how far the actual observed frequencies are from the expected frequencies.

If any of the observed frequencies are smaller than 5,then categories should be combined until all observed frequencies are at least 5.

A cell phone company wants to determine if the use of text messaging is independent of age.The following data has been collected from a random sample of customers. To conduct a contingency analysis,the number of degrees of freedom is:

When the expected cell frequencies are smaller than 5,the cells should be combined in a meaningful way such that the expected cell frequencies do exceed 5.

A survey was recently conducted in which males and females were asked whether they owned a laptop personal computer.The following data were observed: Given this information,if an alpha level of .05 is used,the critical value for testing whether the two variables are independent is = 3.8415.

The sampling distribution for a goodness-of-fit test is the Poisson distribution.

In conducting a test of independence for a contingency table that has 4 rows and 3 columns,the number of degrees of freedom is 11.

When the variables of interest are both categorical and the decision maker is interested in determining whether a relationship exists between the two,a statistical technique known as contingency analysis is useful.

By combining cells we guard against having an inflated test statistic that could have led us to incorrectly accept the null hypothesis.

Which of the following statements is true in the context of a chi-square goodness-of-fit test?

In a contingency analysis,the greater the difference between the actual and the expected frequencies,the more likely:

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

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