Question 1

A test of independence is to be performed.The table has 4 rows and 5 columns.What would the degrees of freedom be?

Accepted Answer

A) 20 
B) 15 
C) 12 
D) 9 
A) 20 
B) 15 
C) 12 
D) 9

Question 2

A chi-square goodness-of-fit-test is to be used to determine if a distribution is normally distributed.The data will be divided into "k" categories.Both the mean and standard deviation must be estimated.The degrees of freedom for this test would be:

Accepted Answer

A) k - 1 
B) k - 2 
C) k - 3 
D) k - 4 
A) k - 1 
B) k - 2 
C) k - 3 
D) k - 4

Question 3

A test that is conducted to determine whether or not to reject a hypothesized probability distribution is known as a:

Accepted Answer

A) test of independence. 
B) contingency table test. 
C) probability distribution test. 
D) goodness-of-fit test. 
A) test of independence. 
B) contingency table test. 
C) probability distribution test. 
D) goodness-of-fit test.

Question 4

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A brand manager is interested in determining if consumers prefer the new fragrance associated with a detergent.She surveyed 212 consumers and has them rank the new and old fragrances on a scale of 1 to 10.Of the 198 consumers who scored a different score on the new fragrance than on the old,the absolute values of the differences in their ratings were ranked.The smaller of the ranked sums,8,208,was for those individuals who rated the original fragrance higher.
-Is there evidence that the consumers rated the new fragrance higher?

Accepted Answer

H₀ : Consumers have no preference. H₁ : Co

Question 5

One disadvantage of the sign test is that it takes into account only a very limited amount of information - namely,the signs of the differences.

Accepted Answer

A) True 
 B)False

Question 6

Under the null hypothesis that the population distribution is normal,the test statistic for the Jarque-Bera test for normality has a chi-square distribution with 2 degrees of freedom.

Accepted Answer

A) True 
 B)False

Question 7

Consider the following data set: 12.2,12.3,12.3,12.5,12.6,12.7,12.8,12.8,12.8,12.9,13.1,13.2,and 13.5.The rank assigned to the three observations of value 12.8 is:

Accepted Answer

A) 6 
B) 7 
C) 8 
D) 9 
A) 6 
B) 7 
C) 8 
D) 9

Question 8

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A recent survey asked 124 purchasing managers what they thought would happen to inflation over the next quarter.Of those managers who thought the inflation rate would change,73 thought inflation would be higher,while 40 thought it would be lower.
-Which nonparametric method is appropriate for analyzing these results?

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Question 9

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A brand manager is interested in determining if consumers prefer the new fragrance associated with a detergent.She surveyed 212 consumers and has them rank the new and old fragrances on a scale of 1 to 10.Of the 198 consumers who scored a different score on the new fragrance than on the old,the absolute values of the differences in their ratings were ranked.The smaller of the ranked sums,8,208,was for those individuals who rated the original fragrance higher.
-A stock market analyst produced at the beginning of the year a list of stocks to buy and another list of stocks to sell.For a random sample of 10 stocks from the "buy list," percentage returns over the year were as follows:
   
For an independent random sample of 10 stocks from the "sell list," percentage returns over the year were as follows:
   
Use the Mann-Whitney test to interpret these data.

Accepted Answer

H₀ :there is no difference in returns H₁ :

Question 10

Consider a chi-square distributed random variable with 12 degrees of freedom and a significance level of 0.025.The chi-square value from the table is 23.337.Which of the following computed values of the chi-square test statistic would lead us to a decision "fail to reject" the null hypothesis?

Accepted Answer

A) 41.47 
B) 17.12 
C) 32.59 
D) 26.43 
A) 41.47 
B) 17.12 
C) 32.59 
D) 26.43

Question 11

In a chi-square test of a contingency table,the value of the test statistic was χ2 = 12.678,and the critical value at α = 0.025 was 14.4494.Thus:

Accepted Answer

A) we don't have enough evidence to accept or reject the null hypothesis at α = 0.025. 
B) we should decrease the level of significance in order to reject the null hypothesis. 
C) we fail to reject the null hypothesis at α = 0.025. 
D) we reject the null hypothesis at α = 0.025. 
A) we don't have enough evidence to accept or reject the null hypothesis at α = 0.025. 
B) we should decrease the level of significance in order to reject the null hypothesis. 
C) we fail to reject the null hypothesis at α = 0.025. 
D) we reject the null hypothesis at α = 0.025.

Question 12

Which of the following is not a reason to prefer a nonparametric test to a parametric test?

Accepted Answer

A) Nonparametric tests can be used for ordinal data. 
B) Nonparametric tests are computationally more straightforward. 
C) Nonparametric tests are less influenced by outliers. 
D) Nonparametric tests are more powerful under conditions of normality. 
A) Nonparametric tests can be used for ordinal data. 
B) Nonparametric tests are computationally more straightforward. 
C) Nonparametric tests are less influenced by outliers. 
D) Nonparametric tests are more powerful under conditions of normality.

Question 13

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The following table provides the test scores for the first two exams in a statistics course.
Student
  
-Data were collected regarding the amount of time 200 people in management spend "MBWA" - managing by walking around - per week.The managers were classified as lower-level,mid-level,or upper-level managers.The following table presents the data.
Management Level
   
Can you reject at the 5% level of significance the null hypothesis that there is no association between the level of management and the amount of time MBWA?

Accepted Answer

H₀ : There is no association between the

Question 14

A test that considers both skewness and kurtosis is called the Anderson-Darling test for normality.

Accepted Answer

A) True 
 B)False

Question 15

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A study was conducted to determine whether the use of seat belts in vehicles depends on ethnic status in Detroit.A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained,and each person was classified according to (1)ethnic status (African American or non-African American)and (2)set belt usage (worn or not worn)during the accident.The data are shown in the table below.
Ethnic Status
  
-Prepare the table of expected values for this test.

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Question 16

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A brand manager is interested in determining if consumers prefer the new fragrance associated with a detergent.She surveyed 212 consumers and has them rank the new and old fragrances on a scale of 1 to 10.Of the 198 consumers who scored a different score on the new fragrance than on the old,the absolute values of the differences in their ratings were ranked.The smaller of the ranked sums,8,208,was for those individuals who rated the original fragrance higher.
-A sample of 75 corporations buying back franchises was examined.Of these cases,returns on common stock around the buy-back announcement date were positive 48 times,negative 22 times,and zero 5 times.Test the null hypothesis that positive and negative returns are equally likely against the alternative that positive returns are more likely.

Accepted Answer

H₀ : P = 0.5 (positive and negative retur

Question 17

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
In testing the hypotheses
HS1U1B10S1U1B0 : The two population locations are the same
HS1U1B11S1U1B0 : The two population locations are different,the following statistics were
calculated: n = 40,TS1U1B1+S1U1B0 = 245,and TS1U1B1-S1U1B0 = 575 with data drawn from a matched pairs experiment.
-Which test is used for testing the hypotheses above?

Accepted Answer

The Wilcox

Question 18

In using the chi-square test for independence,one should be aware that the expected frequencies that are too small will lead to too big value of the probability of Type I error.

Accepted Answer

A) True 
 B)False

Question 19

A chi-square goodness-of-fit-test is being used to determine if the observed frequencies and the expected frequencies from six categories are significantly different.If no parameters are estimated from the data,what is the number of degrees of freedom for this test?

Accepted Answer

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

Question 20

The middle 0.95 portion of the chi-square distribution with 9 degrees of freedom has table values of 3.325 and 16.919,respectively.

Accepted Answer

A) True 
 B)False

A test of independence is to be performed.The table has 4 rows and 5 columns.What would the degrees of freedom be?

A chi-square goodness-of-fit-test is to be used to determine if a distribution is normally distributed.The data will be divided into "k" categories.Both the mean and standard deviation must be estimated.The degrees of freedom for this test would be:

A test that is conducted to determine whether or not to reject a hypothesized probability distribution is known as a:

One disadvantage of the sign test is that it takes into account only a very limited amount of information - namely,the signs of the differences.

Under the null hypothesis that the population distribution is normal,the test statistic for the Jarque-Bera test for normality has a chi-square distribution with 2 degrees of freedom.

Consider the following data set: 12.2,12.3,12.3,12.5,12.6,12.7,12.8,12.8,12.8,12.9,13.1,13.2,and 13.5.The rank assigned to the three observations of value 12.8 is:

Consider a chi-square distributed random variable with 12 degrees of freedom and a significance level of 0.025.The chi-square value from the table is 23.337.Which of the following computed values of the chi-square test statistic would lead us to a decision "fail to reject" the null hypothesis?

In a chi-square test of a contingency table,the value of the test statistic was χ² = 12.678,and the critical value at α = 0.025 was 14.4494.Thus:

Which of the following is not a reason to prefer a nonparametric test to a parametric test?

A test that considers both skewness and kurtosis is called the Anderson-Darling test for normality.

In using the chi-square test for independence,one should be aware that the expected frequencies that are too small will lead to too big value of the probability of Type I error.

A chi-square goodness-of-fit-test is being used to determine if the observed frequencies and the expected frequencies from six categories are significantly different.If no parameters are estimated from the data,what is the number of degrees of freedom for this test?

The middle 0.95 portion of the chi-square distribution with 9 degrees of freedom has table values of 3.325 and 16.919,respectively.

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

Exam 14: Analysis of Categorical Data

A test of independence is to be performed.The table has 4 rows and 5 columns.What would the degrees of freedom be?

A chi-square goodness-of-fit-test is to be used to determine if a distribution is normally distributed.The data will be divided into "k" categories.Both the mean and standard deviation must be estimated.The degrees of freedom for this test would be:

A test that is conducted to determine whether or not to reject a hypothesized probability distribution is known as a:

One disadvantage of the sign test is that it takes into account only a very limited amount of information - namely,the signs of the differences.

Under the null hypothesis that the population distribution is normal,the test statistic for the Jarque-Bera test for normality has a chi-square distribution with 2 degrees of freedom.

Consider the following data set: 12.2,12.3,12.3,12.5,12.6,12.7,12.8,12.8,12.8,12.9,13.1,13.2,and 13.5.The rank assigned to the three observations of value 12.8 is:

Consider a chi-square distributed random variable with 12 degrees of freedom and a significance level of 0.025.The chi-square value from the table is 23.337.Which of the following computed values of the chi-square test statistic would lead us to a decision "fail to reject" the null hypothesis?

In a chi-square test of a contingency table,the value of the test statistic was χ2 = 12.678,and the critical value at α = 0.025 was 14.4494.Thus:

Which of the following is not a reason to prefer a nonparametric test to a parametric test?

A test that considers both skewness and kurtosis is called the Anderson-Darling test for normality.

In using the chi-square test for independence,one should be aware that the expected frequencies that are too small will lead to too big value of the probability of Type I error.

A chi-square goodness-of-fit-test is being used to determine if the observed frequencies and the expected frequencies from six categories are significantly different.If no parameters are estimated from the data,what is the number of degrees of freedom for this test?

The middle 0.95 portion of the chi-square distribution with 9 degrees of freedom has table values of 3.325 and 16.919,respectively.

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Simple Regression

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

In a chi-square test of a contingency table,the value of the test statistic was χ² = 12.678,and the critical value at α = 0.025 was 14.4494.Thus: