A market researcher is interested in determining whether the age of listeners influences their preferred musical styles.The following is a contingency table from a random sample of 385 individuals: $\begin{array}{c} \begin{array}{|l|} \hline \\ \hline 18-25 \\ \hline 26-35 \\ \hline 36-45 \\ \hline 46+ \\ \hline \end{array} \begin{array}{l} \hline\text { Style } -{1}\\ \hline 125 \\ \hline 87 \\ \hline 50 \\ \hline 12 \\ \hline \end{array} \begin{array}{|l|} \hline \text { Style}-2 \\ \hline 13 \\ \hline 12 \\ \hline 22 \\ \hline 25 \\ \hline \end{array} \begin{array}{l|} \hline\text { Style}-3 \\ \hline 6 \\ \hline 6 \\ \hline 12 \\ \hline 15\\ \hline \end{array} \end{array}$ The researcher uses $\alpha$ = 0.05.The number of degrees of freedom is ______.

A) 12 B) 11 C) 10 D) 9 E) 6 A) 12 B) 11 C) 10 D) 9 E) 6

A researcher believes that arrivals at a walk-in hair salon are Poisson distributed.The following data represent a distribution of frequency of arrivals in a one-hour time period. \[\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Number of customer arrivals } & 0 & 1 & 2 & 3 & 4 & \geq 5 \\ \hline \text { Frequency } & 47 & 56 & 39 & 22 & 18 & 10 \\ \hline \end{array}\] Using $\alpha$= 0.10, the critical chi-square value for this goodness-of-fit test is _______.

A) 1.064 B) 13.277 C) 9.236 D) 8.799 E) 7.779 A) 1.064 B) 13.277 C) 9.236 D) 8.799 E) 7.779

A recent national poll showed the reading habits of adults during the last 12 months: \[\begin{array} { l r } 3 \text { or more books } & 5 \\ 2 \text { boxlss } & 27 \\ 1 \text { book } & 38 \\ \text { No hooks } & 30 \end{array}\] A poll in a small Midwestern town shows the following percentages: \[\begin{array} { l r } 3 \text { or more broks } & 1 \\ 2 \text { books } & 22 \\ 1 \text { boxk } & 39 \\ \text { No hooks } & 38 \end{array}\] The observed chi-squared statistic is ______.

A) 5.14 B) 5.28 C) 6.14 D) 6.28 E) 6.54 A) 5.14 B) 5.28 C) 6.14 D) 6.28 E) 6.54

Sami Schmitt believes that the number of cars arriving at his Scrub and Shine Car Wash follows a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis. \[\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Cars per 15-rrirute iriterval } & 0 & 1 & 2 & 3 & 4 & \geq 5 \\ \hline \text { Observed frequency } & 5 & 15&17 & 12& 10 & 8 \\ \hline \end{array}\] The observed value of chi-square for this goodness-of-fit test is closest to _____.

A) 0.73 B) 6.72 C) 3.15 D) 7.81 E) 9.87 A) 0.73 B) 6.72 C) 3.15 D) 7.81 E) 9.87

The manager of a grocery store believes that the number of people waiting in the express check out lane follows a Poisson distribution.While watching the lane at random times throughout the day and week, she collects the following information. $\begin{array}{|l|r|r|r|r|r|r|} \hline \begin{array}{l} \text { People waiting in express } \\ \text { check out lane } \end{array} & 0 & 1 & 2 & 3 & 4 & \geq 5 \\ \hline \text { Observed frequency } & 35 & 41 & 22 & 14 & 3 & 2\\ \hline \end{array}$ Using $\alpha$=0.10, the critical value of chi-square for this goodness of fit test is _______.

A) 9.49 B) 7.81 C) 7.78 D) 10.28 E) 11.41 A) 9.49 B) 7.81 C) 7.78 D) 10.28 E) 11.41

Exam 16: Analysis of Categorical Data

A travel agent believes that vacation destinations are independent of the region of the country that the vacationer resides.She has compiled a table with six vacation destinations and five regions throughout the United States.When applying a chi-square test of independence to this table, the number of degrees of freedom is _____.

(Multiple Choice)

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Question 41

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this, a sample of observed data is gathered on this variable resulting in frequencies of 27, 30, 29, 21, and 24.Using $\alpha$ = .01, the appropriate decision is _______.

(Multiple Choice)

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Question 42

A market researcher is interested in determining whether the age of listeners influences their preferred musical styles.The following is a contingency table from a random sample of 385 individuals: 18-25 26-35 36-45 46+ Style - 1 125 87 50 12 Style -2 13 12 22 25 Style -3 6 6 12 15 The researcher uses $\alpha$ = 0.05.The number of degrees of freedom is ______.

(Multiple Choice)

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Question 43

A contingency table is to be used to test for independence.There are 3 rows and 3 columns in the table.How many degrees of freedom are there for this problem?

(Multiple Choice)

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Question 44

Catherine Chao, Director of Marketing Research, is evaluating consumer acceptance of alternative toothpaste packages.She wonders whether acceptance is influenced by the age of the children in the household.Her staff prepared the following contingency table from a random sample of 100 households. $Catherine Chao, Director of Marketing Research, is evaluating consumer acceptance of alternative toothpaste packages.She wonders whether acceptance is influenced by the age of the children in the household.Her staff prepared the following contingency table from a random sample of 100 households. Using \alpha = .05, the appropriate decision is .$ Using $\alpha$ = .05, the appropriate decision is .

(Multiple Choice)

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Question 45

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this, a sample of observed data is gathered on this variable resulting in frequencies of 27, 30, 29, 21, and 24.Using $\alpha$ = .01, the critical value of chi-square is _______.

(Multiple Choice)

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Question 46

Contingency tables should not be used with expected cell frequencies _______.

(Multiple Choice)

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Question 47

A researcher believes that arrivals at a walk-in hair salon are Poisson distributed.The following data represent a distribution of frequency of arrivals in a one-hour time period. Number of customer arrivals 0 1 2 3 4 \geq5 Frequency 47 56 39 22 18 10 Using $\alpha$ = 0.10, the critical chi-square value for this goodness-of-fit test is _______.

(Multiple Choice)

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Question 48

Catherine Chao, Director of Marketing Research, is evaluating consumer acceptance of alternative toothpaste packages.She wonders whether acceptance is influenced by the age of the children in the household.Her staff prepared the following contingency table from a random sample of 100 households. $Catherine Chao, Director of Marketing Research, is evaluating consumer acceptance of alternative toothpaste packages.She wonders whether acceptance is influenced by the age of the children in the household.Her staff prepared the following contingency table from a random sample of 100 households. Using \alpha = .05, the observed value of chi-square is .$ Using $\alpha$ = .05, the observed value of chi-square is .

(Multiple Choice)

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Question 49

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 7.

(True/False)

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Question 50

A chi-square goodness of fit test is to be performed to see if data fit the Poisson distribution.There are 6 categories, and lambda must be estimated.How many degrees of freedom should be used?

(Multiple Choice)

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Question 51

A recent national poll showed the reading habits of adults during the last 12 months: 3 or more books 5 2 boxlss 27 1 book 38 No hooks 30 A poll in a small Midwestern town shows the following percentages: 3 or more broks 1 2 books 22 1 boxk 39 No hooks 38 The observed chi-squared statistic is ______.

(Multiple Choice)

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Question 52

A suburban realtor is studying commuter time in the Houston metropolitan area.She has been told the average weekday travel time from a southern suburb at 8:00am is 45 minutes.For five months she counts the number of days that it takes her more than 45 minutes to arrive in downtown when she leaves her house at 8:00am.She expects the data are uniformly distributed across the five months.Her sample of observed data yields the following frequencies 9 days, 15 days, 8 days, 11 days, 12 days.Using $\alpha$ = .01, the critical chi-square value is _______.

(Multiple Choice)

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Question 53

Sami Schmitt believes that the number of cars arriving at his Scrub and Shine Car Wash follows a Poisson distribution.He collected a random sample and constructed the following frequency distribution to test his hypothesis. Cars per 15-rrirute iriterval 0 1 2 3 4 \geq5 Observed frequency 5 15 17 12 10 8 The observed value of chi-square for this goodness-of-fit test is closest to _____.

(Multiple Choice)

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Question 54

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 6.

(True/False)

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Question 55

The manager of a grocery store believes that the number of people waiting in the express check out lane follows a Poisson distribution.While watching the lane at random times throughout the day and week, she collects the following information. People waiting in express check out lane 0 1 2 3 4 \geq5 Observed frequency 35 41 22 14 3 2 Using $\alpha$ =0.10, the critical value of chi-square for this goodness of fit test is _______.

(Multiple Choice)

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Question 56

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased.The following is a contingency table from a random sample of 300 individuals. $A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased.The following is a contingency table from a random sample of 300 individuals. Using \alpha = .05, observed chi-square value is .$ Using $\alpha$ = .05, observed chi-square value is .

(Multiple Choice)

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Question 57

A suburban realtor is studying commuter time in the Houston metropolitan area.She has been told the average weekday travel time from a southern suburb at 8:00am is 45 minutes.For five months she counts the number of days that it takes her more than 45 minutes to arrive in downtown when she leaves her house at 8:00am.She expects the data are uniformly distributed across the five months.Her sample of observed data yields the following frequencies 9 days, 15 days, 8 days, 11 days, 12 days.Using $\alpha$ = .10, the appropriate decision is _______.

(Multiple Choice)

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Question 58

The chi-square test of independence uses the _______ of two categorical variables to determine whether those variables are independent.

(Multiple Choice)

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Question 59

Anita Cruz recently assumed responsibility for a large investment portfolio.She wonders whether the industry sector influences investment objective.Her staff prepared the following contingency table from a random sample of 200 common stocks. $Anita Cruz recently assumed responsibility for a large investment portfolio.She wonders whether the industry sector influences investment objective.Her staff prepared the following contingency table from a random sample of 200 common stocks. Using \alpha = .05, critical chi-square value is .$ Using $\alpha$ = .05, critical chi-square value is .

(Multiple Choice)

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Question 60

Showing 41 - 60 of 85

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this, a sample of observed data is gathered on this variable resulting in frequencies of 27, 30, 29, 21, and 24.Using $\alpha$ = .01, the appropriate decision is _______.

A contingency table is to be used to test for independence.There are 3 rows and 3 columns in the table.How many degrees of freedom are there for this problem?

Contingency tables should not be used with expected cell frequencies _______.

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 7.

A chi-square goodness of fit test is to be performed to see if data fit the Poisson distribution.There are 6 categories, and lambda must be estimated.How many degrees of freedom should be used?

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 6.

The chi-square test of independence uses the _______ of two categorical variables to determine whether those variables are independent.

Introduction to Statistics and Business Analytics

Visualizing Data With Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 16: Analysis of Categorical Data

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this, a sample of observed data is gathered on this variable resulting in frequencies of 27, 30, 29, 21, and 24.Using α\alphaα = .01, the appropriate decision is _______.

A contingency table is to be used to test for independence.There are 3 rows and 3 columns in the table.How many degrees of freedom are there for this problem?

Contingency tables should not be used with expected cell frequencies _______.

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 7.

A chi-square goodness of fit test is to be performed to see if data fit the Poisson distribution.There are 6 categories, and lambda must be estimated.How many degrees of freedom should be used?

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 6.

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased.The following is a contingency table from a random sample of 300 individuals. Using α\alphaα = .05, observed chi-square value is ______________.

The chi-square test of independence uses the _______ of two categorical variables to determine whether those variables are independent.

Introduction to Statistics and Business Analytics

Visualizing Data With Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

A variable contains five categories.It is expected that data are uniformly distributed across these five categories.To test this, a sample of observed data is gathered on this variable resulting in frequencies of 27, 30, 29, 21, and 24.Using $\alpha$ = .01, the appropriate decision is _______.