Deck 13: Categorical Data Analysis

Question 1

Inc. Technology reported the results of consumer survey in which 300 Internet users indicated their level of agreement with the following statement: ʺThe government needs to be able to scan
Internet messages and user communications to prevent fraud and other crimes.ʺ The possible
Responses were ʺagree stronglyʺ, ʺagree somewhatʺ, ʺdisagree somewhatʺ, and ʺdisagree stronglyʺ.
The number of Internet users in each category is summarized in the table.

Answer 1

A

Question 2

A multinomial experiment with k = 4 cells and n = 300 produced the data shown in the
following table.

Answer 2

Question 3

Inc. Technology reported the results of consumer survey in which 300 Internet users indicated their level of agreement with the following statement: ʺThe government needs to be able to scan
Internet messages and user communications to prevent fraud and other crimes.ʺ The possible
Responses were ʺagree stronglyʺ, ʺagree somewhatʺ, ʺdisagree somewhatʺ, and ʺdisagree stronglyʺ.
The number of Internet users in each category is summarized in the table.

Answer 3

B

Question 4

Question 5

Describe probabilities of the k outcomes of the multinomial experiment trials.

Question 6

A survey of entrepreneurs focused on their job characteristics, work habits, social activities, leisure time, etc. One question put to each entrepreneur was, ʺWhat make of car (U.S., Europe, or Japan)
Do you drive?ʺ The responses (number in each category)for a sample of 100 entrepreneurs are
Summarized below. The goal of the analysis is to determine if the proportions of entrepreneurs
Who drive American, European, and Japanese cars differ.

Question 7

Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is
Lane 2, and so on until the outermost lane, Lane 6. The table displays the starting positions for the
Winnners of 240 competitions. Calculate the chi-square test statistic used to test the claim that
The probability of winning is the same regardless of starting position..

Question 8

An adverse drug effect (ADE)is an unintended injury caused by prescribed medication. The table summarizes the proximal cause of 95 ADEs that resulted from a dosing error at a Boston hospital.

Question 9

Question 10

What is categorical data?

Question 11

A multinomial experiment with k = 3 cells and n =100 has been conducted and the results
are shown in the table. Construct a 99% confidence interval for the multinomial probability associated with cell 2.

Question 12

Question 13

Question 14

What are characteristics of the trials in a multinomial experiment?

Question 15

Inc. Technology reported the results of consumer survey in which 300 Internet users indicated their level of agreement with the following statement: ʺThe government needs to be able to scan
Internet messages and user communications to prevent fraud and other crimes.ʺ The possible
Responses were ʺagree stronglyʺ, ʺagree somewhatʺ, ʺdisagree somewhatʺ, and ʺdisagree stronglyʺ.
The number of Internet users in each category is summarized in the table.

Question 16

A multinomial experiment with k = 4 cells and n = 400 produced the data shown in the following table.

Question 17

Question 18

Question 19

Question 20

Question 21

A survey of entrepreneurs focused on their job characteristics, work habits, social activities, leisure time, etc. One question put to each entrepreneur was, ʺWhat make of car (U.S., Europe, or Japan)
Do you drive?ʺ The responses (number in each category)for a sample of 100 entrepreneurs are
Summarized below. The goal of the analysis is to determine if the proportions of entrepreneurs
Who drive American, European, and Japanese cars differ.

Question 22

Inc. Technology reported the results of consumer survey in which 300 Internet users indicated their level of agreement with the following statement: ʺThe government needs to be able to scan
Internet messages and user communications to prevent fraud and other crimes.ʺ The possible
Responses were ʺagree stronglyʺ, ʺagree somewhatʺ, ʺdisagree somewhatʺ, and ʺdisagree stronglyʺ.
The number of Internet users in each category is summarized in the table.

Question 23

Question 24

Question 25

Question 26

A multinomial experiment with k = 3 cells and n =30 has been conducted and the results
are shown in the table.

Question 27

Inc. Technology reported the results of consumer survey in which 300 Internet users indicated their level of agreement with the following statement: ʺThe government needs to be able to scan
Internet messages and user communications to prevent fraud and other crimes.ʺ The possible
Responses were ʺagree stronglyʺ, ʺagree somewhatʺ, ʺdisagree somewhatʺ, and ʺdisagree stronglyʺ.
The number of Internet users in each category is summarized in the table.

Question 28

Question 29

Question 30

Question 31

Question 32

A survey of entrepreneurs focused on their job characteristics, work habits, social activities, leisure time, etc. One question put to each entrepreneur was, ʺWhat make of car (U.S., Europe, or Japan)
Do you drive?ʺ The responses (number in each category)for a sample of 100 entrepreneurs are
Summarized below. The goal of the analysis is to determine if the proportions of entrepreneurs
Who drive American, European, and Japanese cars differ.

Question 33

Question 34

A drug company developed a honey-based liquid medicine designed to calm a childʹs cough at night. To test the drug, 105 children who were ill with an upper respiratory tract infection were
Randomly selected to participate in a clinical trial. The children were randomly divided into three
Groups - one group was given a dosage of the honey drug, the second was given a dosage of
Liquid DM (an over-the-counter cough medicine), and the third (control group)received a liquid
Placebo (no dosage at all). After administering the medicine to their coughing child, parents rated
Their childrenʹs cough diagnosis as either better or worse. The results are shown in the table below:

Question 35

Inc. Technology reported the results of consumer survey in which 300 Internet users indicated their level of agreement with the following statement: ʺThe government needs to be able to scan
Internet messages and user communications to prevent fraud and other crimes.ʺ The possible
Responses were ʺagree stronglyʺ, ʺagree somewhatʺ, ʺdisagree somewhatʺ, and ʺdisagree stronglyʺ.
The number of Internet users in each category is summarized in the table.

Question 36

Economists at USF are researching the problem of absenteeism at U.S. firms. A random sample of 100 U.S. organizations was selected to participate in a 1-year study. As part of the study, the
Economists had collected data on the following two variables for each company: shiftwork
Available (Yes or No), and union-management relationship (Good or Poor). As part of their
Analyses, the economists wanted to determine whether or not a company makes shiftwork
Available depends on the relationship between union and management. The collected data are
Shown below:

Question 37

Question 38

Question 39

A survey of entrepreneurs focused on their job characteristics, work habits, social activities, leisure time, etc. One question put to each entrepreneur was, ʺWhat make of car (U.S., Europe, or Japan)
Do you drive?ʺ The responses (number in each category)for a sample of 100 entrepreneurs are
Summarized below. The goal of the analysis is to determine if the proportions of entrepreneurs
Who drive American, European, and Japanese cars differ.

Question 40

Question 41

A drug company developed a honey-based liquid medicine designed to calm a childʹs cough at night. To test the drug, 105 children who were ill with an upper respiratory tract infection were
Randomly selected to participate in a clinical trial. The children were randomly divided into three
Groups - one group was given a dosage of the honey drug, the second was given a dosage of
Liquid DM (an over-the-counter cough medicine), and the third (control group)received a liquid
Placebo (no dosage at all). After administering the medicine to their coughing child, parents rated
Their childrenʹs cough diagnosis as either better or worse. The results are shown in the table below:

Question 42

Consider the accompanying contingency table.

Question 43

Question 44

Question 45

Question 46

Question 47

A business professor conducted a campus survey to estimate demand among all students for a protein supplement for smoothies and other nutritional drinks. Each of 113 students, randomly
Selected from all students on campus, provided the following information:

Question 48

Question 49

Question 50

Economists at USF are researching the problem of absenteeism at U.S. firms. A random sample of 100 U.S. organizations was selected to participate in a 1-year study. As part of the study, the
Economists had collected data on the following two variables for each company: shiftwork
Available (Yes or No), and union-management relationship (Good or Poor). As part of their
Analyses, the economists wanted to determine whether or not a company makes shiftwork
Available depends on the relationship between union and management. The collected data are
Shown below:

Question 51

A drug company developed a honey-based liquid medicine designed to calm a childʹs cough at night. To test the drug, 105 children who were ill with an upper respiratory tract infection were
Randomly selected to participate in a clinical trial. The children were randomly divided into three
Groups - one group was given a dosage of the honey drug, the second was given a dosage of
Liquid DM (an over-the-counter cough medicine), and the third (control group)received a liquid
Placebo (no dosage at all). After administering the medicine to their coughing child, parents rated
Their childrenʹs cough diagnosis as either better or worse. The results are shown in the table below:

Question 52

Question 53

When using any procedure to perform a hypothesis test, the user should always be certain that the
experiment satisfies the assumptions given with the procedure.

Question 54

Inc. Technology reported the results of consumer survey in which 300 Internet users indicated their level of agreement with the following statement: ʺThe government needs to be able to scan
Internet messages and user communications to prevent fraud and other crimes.ʺ The possible
Responses were ʺagree stronglyʺ, ʺagree somewhatʺ, ʺdisagree somewhatʺ, and ʺdisagree stronglyʺ.
The number of Internet users in each category is summarized in the table. In order to determine whether the true proportions of Internet users in each response category
Differ, a one-way chi-square analysis should be conducted. Which of the following statements is
Not necessary for the analysis to be valid?

A)The 300 internet users sampled are independent from one another.
B)The expected cell counts all must be 30 or more.
C)The probabilities for the four response outcomes remain the same from one internet user to the next.

Question 55

The contingency table below shows the results of a random sample of 200 state
representatives that was conducted to see whether their opinions on a bill are related to
their party affiliations.

Question 56

Economists at USF are researching the problem of absenteeism at U.S. firms. A random sample of 100 U.S. organizations was selected to participate in a 1-year study. As part of the study, the
Economists had collected data on the following two variables for each company: shiftwork
Available (Yes or No), and union-management relationship (Good or Poor). As part of their
Analyses, the economists wanted to determine whether or not a company makes shiftwork
Available depends on the relationship between union and management. The collected data are
Shown below:

Question 57

Question 58

The contingency table below shows the results of a random sample of 200 state representatives that was conducted to see whether their opinions on a bill are related to their party affiliation.

Question 59

A business professor conducted a campus survey to estimate demand among all students for a protein supplement for smoothies and other nutritional drinks. Each of 113 students, randomly
Selected from all students on campus, provided the following information:

Question 60

A professor chose a random sample of 50 recent graduates of an MBA program and
recorded the gender of each graduate (M or
F)and whether the graduate chose to
complete his or her degree requirements by completing a research project (RP)or by
taking comprehensive exams (CE). The results are shown below.