Question 1

Consider the 3 × 2 contingency table below.   How many degrees of freedom are associated with the chi-square test?

Accepted Answer

= 2
Degree

Question 2

When we carry out a chi-square test of independence,the chi-square statistic is based on (r × c)− 1 degrees of freedom,where r and c denote,respectively,the number of rows and columns in the contingency table.

Accepted Answer

A) True 
 B)False

Question 3

When we carry out a chi-square test of independence,the alternate hypothesis states that the two relevant classifications

Accepted Answer

A)  are mutually exclusive. 
B)  form a contingency table with r rows and c columns. 
C)  have (r − 1)(c − 1)degrees of freedom. 
D)  are statistically dependent. 
E)  are normally distributed. 
A)  are mutually exclusive. 
B)  form a contingency table with r rows and c columns. 
C)  have (r − 1)(c − 1)degrees of freedom. 
D)  are statistically dependent. 
E)  are normally distributed.

Question 4

The AAA Co.is interested in the level of satisfaction of their employees in the benefit package that they offer compared to their major competitors.A consultant hired to conduct the satisfaction survey told AAA Co.that the distribution of level of satisfaction at other companies is displayed below.Very Satisfied
 
A survey was conducted of 125 AAA employees with the following results.
 
Using the critical value for α = .05,test the null hypothesis that the distribution of AAA employees at each satisfaction level is similar to the distribution of the employees of their major competitors.

Accepted Answer

Critical value (rejection point at α = .

Question 5

Consider the 3 × 2 contingency table below.   Compute the expected frequencies in row 2.

Accepted Answer

The answer of Consider the 3 × 2 contingency table...

Question 6

A fastener manufacturing company uses a chi-square goodness-of-fit test to determine if a population of all lengths of ¼-inch bolts it manufactures is distributed according to a normal distribution.If we reject the null hypothesis,it is reasonable to assume that the population distribution is at least approximately normally distributed.

Accepted Answer

A) True 
 B)False

Question 7

A manufacturing company produces part QV2Y for the aerospace industry.This particular part can be manufactured using 3 different production processes.The management wants to know if the quality of the units of part QV2Y is the same for all three processes.The production supervisor obtained the following data: Process 1 had 29 defective units in 240 items,Process 2 produced 12 defective units in 180 items,and Process 3 manufactured 9 defective units in 150 items.Chi-Square Contingency Table Test for Independence   At a significance level of .10,the management wants to perform a hypothesis test to determine if the quality of the items produced appears to be independent of the production process used.Based on the results summarized in the MegaStat/Excel output provided in the table above,we

Accepted Answer

A)  do not reject H0 and conclude that the quality of the product is not the same for all processes. 
B)  reject H0 and conclude that the quality of the product is dependent on the manufacturing process. 
C)  do not reject H0,and conclude that the quality of the product does not significantly differ among the three processes. 
D)  reject H0 and conclude that the quality of the product is independent of the production process utilized. 
A)  do not reject H0 and conclude that the quality of the product is not the same for all processes. 
B)  reject H0 and conclude that the quality of the product is dependent on the manufacturing process. 
C)  do not reject H0,and conclude that the quality of the product does not significantly differ among the three processes. 
D)  reject H0 and conclude that the quality of the product is independent of the production process utilized.

Question 8

The number of degrees of freedom associated with a chi-square test for independence based upon a contingency table with 4 rows and 3 columns is _____.

Accepted Answer

A)  7 
B)  12 
C)  5 
D)  6 
A)  7 
B)  12 
C)  5 
D)  6

Question 9

The chi-square goodness-of-fit test can only be used to test whether a population has specified multinomial probabilities or to test if a sample has been selected from a normally distributed population.It cannot be used if sample data come from other distribution forms,such as the Poisson.

Accepted Answer

A) True 
 B)False

Question 10

The χ2 statistic from a contingency table with 6 rows and 5 columns will have

Accepted Answer

A)  30 degrees of freedom. 
B)  24 degrees of freedom. 
C)  5 degrees of freedom. 
D)  20 degrees of freedom. 
E)  25 degrees of freedom. 
A)  30 degrees of freedom. 
B)  24 degrees of freedom. 
C)  5 degrees of freedom. 
D)  20 degrees of freedom. 
E)  25 degrees of freedom.

Question 11

The actual counts in the cells of a contingency table are referred to as the expected cell frequencies.

Accepted Answer

A) True 
 B)False

Question 12

A manufacturing company produces part QV2Y for the aerospace industry.This particular part can be manufactured using 3 different production processes.The management wants to know if the quality of the units of part QV2Y is the same for all three processes.The production supervisor obtained the following data: Process 1 had 29 defective units in 240 items,Process 2 produced 12 defective units in 180 items,and Process 3 manufactured 9 defective units in 150 items.At a significance level of .05,we performed a chi-square test to determine whether the quality of the items produced appears to be the same for all three processes.What is the null hypothesis?

Accepted Answer

A)  H0: The number of defectives produced is independent of the production process used. 
B)  H0: The row and column variables are associated with each other. 
C)  H0: The proportion of defective units produced by the three production processes is the same. 
D)  Both "H0: The number of defectives produced is independent of the production process used." and "H0: The proportion of defective units produced by the three production processes is the same." are correct or at least acceptable ways of stating the null hypothesis. 
E)  All of the other choices are acceptable ways of stating the null hypothesis. 
A)  H0: The number of defectives produced is independent of the production process used. 
B)  H0: The row and column variables are associated with each other. 
C)  H0: The proportion of defective units produced by the three production processes is the same. 
D)  Both "H0: The number of defectives produced is independent of the production process used." and "H0: The proportion of defective units produced by the three production processes is the same." are correct or at least acceptable ways of stating the null hypothesis. 
E)  All of the other choices are acceptable ways of stating the null hypothesis.

Question 13

In performing a chi-square test of independence,as the differences between respective observed and expected frequencies _________,the probability of concluding that the row variable is independent of the column variable increases.

Accepted Answer

A)  stay the same 
B)  decrease 
C)  increase 
D)  double 
A)  stay the same 
B)  decrease 
C)  increase 
D)  double

Question 14

A real estate company is analyzing the selling prices of residential homes in a given community.140 homes that have been sold in the past month are randomly selected and their selling prices are recorded.The statistician working on the project has stated that in order to perform various statistical tests,the data must be distributed according to a normal distribution.In order to determine whether the selling prices of homes included in the random sample are normally distributed,the statistician divides the data into 6 classes of equal size and records the number of observations in each class.She then performs a chi-square goodness-of-fit test for normal distribution.The results are summarized in the following table   What are the degrees of freedom for the chi-square test?

Accepted Answer

A)  2 
B)  3 
C)  4 
D)  5 
E)  6 
A)  2 
B)  3 
C)  4 
D)  5 
E)  6

Question 15

When we carry out a chi-square test of independence,the expected frequencies are based on the null hypothesis.

Accepted Answer

A) True 
 B)False

Question 16

The distance (in thousands of miles)traveled by buses before their first major motor failure is distributed below,with an estimated mean and standard deviation of 95.7 and 38.1.Also shown are the expected frequencies of these intervals if the original population was a normal distribution.   What is the chi-square test statistic for testing the hypothesis that the original population is a normal distribution?

Accepted Answer

χ² = (17− 14)²/14 + (4

Question 17

In performing a chi-square goodness-of-fit test for a normal distribution,a researcher wants to make sure that all of the expected cell frequencies are at least five.The sample is divided into 7 intervals.The second through the sixth intervals all have expected cell frequencies of at least five.The first and the last intervals have expected cell frequencies of 1.5 each.After adjusting the number of intervals,the degrees of freedom for the chi-square statistic is ____.

Accepted Answer

A)  2 
B)  3 
C)  5 
D)  7 
A)  2 
B)  3 
C)  5 
D)  7

Question 18

The chi-square goodness-of-fit test for multinomial probabilities with 5 categories has _____ degrees of freedom.

Accepted Answer

A)  5 
B)  4 
C)  3 
D)  6 
A)  5 
B)  4 
C)  3 
D)  6

Question 19

A study of car accidents and drivers who use cell phones collects the following sample data.   Determine the expected frequencies of those who had accidents in the last year to use for the chi-square test of independence.

Accepted Answer

Accident with cell p

Question 20

A paper presented at a recent meeting of higher education researchers compared the type of college that freshmen attend and the numbers who drop out.A random sample of freshmen shows the following results.   Determine the expected frequencies for the freshmen who drop out of 2-year institutions that will be used in the chi-square test of independence.

Accepted Answer

2-Yr Public = 9.99 a

Consider the 3 × 2 contingency table below. How many degrees of freedom are associated with the chi-square test?

When we carry out a chi-square test of independence,the chi-square statistic is based on (r × c)− 1 degrees of freedom,where r and c denote,respectively,the number of rows and columns in the contingency table.

When we carry out a chi-square test of independence,the alternate hypothesis states that the two relevant classifications

Consider the 3 × 2 contingency table below. Compute the expected frequencies in row 2.

The number of degrees of freedom associated with a chi-square test for independence based upon a contingency table with 4 rows and 3 columns is _____.

The chi-square goodness-of-fit test can only be used to test whether a population has specified multinomial probabilities or to test if a sample has been selected from a normally distributed population.It cannot be used if sample data come from other distribution forms,such as the Poisson.

The χ² statistic from a contingency table with 6 rows and 5 columns will have

The actual counts in the cells of a contingency table are referred to as the expected cell frequencies.

In performing a chi-square test of independence,as the differences between respective observed and expected frequencies _________,the probability of concluding that the row variable is independent of the column variable increases.

When we carry out a chi-square test of independence,the expected frequencies are based on the null hypothesis.

The chi-square goodness-of-fit test for multinomial probabilities with 5 categories has _____ degrees of freedom.

A study of car accidents and drivers who use cell phones collects the following sample data. Determine the expected frequencies of those who had accidents in the last year to use for the chi-square test of independence.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences for Means and Proportions

Statistical Inferences for Population Variances

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

Exam 12: Experimental Design and Analysis of Variance

Consider the 3 × 2 contingency table below. How many degrees of freedom are associated with the chi-square test?

When we carry out a chi-square test of independence,the chi-square statistic is based on (r × c)− 1 degrees of freedom,where r and c denote,respectively,the number of rows and columns in the contingency table.

When we carry out a chi-square test of independence,the alternate hypothesis states that the two relevant classifications

Consider the 3 × 2 contingency table below. Compute the expected frequencies in row 2.

The number of degrees of freedom associated with a chi-square test for independence based upon a contingency table with 4 rows and 3 columns is _____.

The chi-square goodness-of-fit test can only be used to test whether a population has specified multinomial probabilities or to test if a sample has been selected from a normally distributed population.It cannot be used if sample data come from other distribution forms,such as the Poisson.

The χ2 statistic from a contingency table with 6 rows and 5 columns will have

The actual counts in the cells of a contingency table are referred to as the expected cell frequencies.

In performing a chi-square test of independence,as the differences between respective observed and expected frequencies _________,the probability of concluding that the row variable is independent of the column variable increases.

When we carry out a chi-square test of independence,the expected frequencies are based on the null hypothesis.

The chi-square goodness-of-fit test for multinomial probabilities with 5 categories has _____ degrees of freedom.

A study of car accidents and drivers who use cell phones collects the following sample data. Determine the expected frequencies of those who had accidents in the last year to use for the chi-square test of independence.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences for Means and Proportions

Statistical Inferences for Population Variances

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

The χ² statistic from a contingency table with 6 rows and 5 columns will have