Question 1

What is the test statistic for Spearman's rank correlation?

Accepted Answer

A) t 
B) z 
C) F 
D) Chi-square 
A) t 
B) z 
C) F 
D) Chi-square

Question 2

A hypothesis test that a rank correlation coefficient is zero is conducted at the 5% level of significance. If the correlation coefficient is 0.50 for a sample of 15 observations,what is the computed value of the t-statistic?

Accepted Answer

A) 0.456 
B) 6.08 
C) 2.082 
D) 2.2361 
A) 0.456 
B) 6.08 
C) 2.082 
D) 2.2361

Question 3

A study was conducted on the percent of total advertising dollars spent by 10 local firms for advertising in the press and on cable television. Results were ranked with a resulting sum of squared differences equal to 128. What is the computed value of t?

Accepted Answer

A) 0.719 
B) 0.804 
C) 1.339 
D) 0.650 
A) 0.719 
B) 0.804 
C) 1.339 
D) 0.650

Question 4

Twenty economists were sampled and asked to predict if the national economy would improve during the next 12 months. Eleven of the economists predicted an increase,two economists predicted no change,and seven economists predicted a decrease in the economy. Conduct a hypothesis test at the 0.10 significance level to determine if the majority of economists predict an increase. The correct analysis would be a ________.

Accepted Answer

A) sign test based on the binomial distribution 
B) sign test based on the standard normal distribution 
C) chi-square test 
D) Wilcoxon signed-rank test 
A) sign test based on the binomial distribution 
B) sign test based on the standard normal distribution 
C) chi-square test 
D) Wilcoxon signed-rank test

Question 5

A two-tailed test of hypothesis was conducted and 60 values were above the median. The computed z = 1.90. At the 0.05 level,what is the decision regarding the null hypothesis?

Accepted Answer

A) Reject the null hypothesis with a 0.05 Type I error rate. 
B) Fail to reject the null hypothesis. 
C) Reject the null hypothesis with a 0.025 Type I error rate. 
D) None of these answers is correct. 
A) Reject the null hypothesis with a 0.05 Type I error rate. 
B) Fail to reject the null hypothesis. 
C) Reject the null hypothesis with a 0.025 Type I error rate. 
D) None of these answers is correct.

Question 6

The following are the ratings (0 to 4)given by 12 individuals for two possible new flavors of soft drinks.   Wilcoxon rank-sum is to be used. At the 0.05 level of significance,what is the decision?

Accepted Answer

A) Fail to reject null hypothesis; critical value is ±1.65. 
B) Fail to reject null hypothesis; critical value is ±1.96. 
C) Reject null hypothesis; critical value is 0.1732. 
D) Reject null hypothesis; critical value is 0.3464. 
A) Fail to reject null hypothesis; critical value is ±1.65. 
B) Fail to reject null hypothesis; critical value is ±1.96. 
C) Reject null hypothesis; critical value is 0.1732. 
D) Reject null hypothesis; critical value is 0.3464.

Question 7

For the rank correlation coefficient,what test statistic is used to test the null hypothesis that the correlation is zero?

Accepted Answer

A) Chi-square 
B) Student's t-statistic 
C) z-statistic 
D) H 
A) Chi-square 
B) Student's t-statistic 
C) z-statistic 
D) H

Question 8

To use the sign test with paired data,trials must ________.

Accepted Answer

A) be independent 
B) be dependent 
C) have three or more outcomes 
D) have a probability of 0.50 
A) be independent 
B) be dependent 
C) have three or more outcomes 
D) have a probability of 0.50

Question 9

What is a requirement that must be met before the Kruskal-Wallis one-way analysis of variance by ranks test can be applied?

Accepted Answer

A) Populations must be normal or near normal. 
B) Populations must be independent. 
C) Population standard deviations must be equal. 
D) Data must be at least interval level. 
A) Populations must be normal or near normal. 
B) Populations must be independent. 
C) Population standard deviations must be equal. 
D) Data must be at least interval level.

Question 10

When testing H0: Median equals $12.40 and the alternate hypothesis: Median does not equal $12.40,what is the critical value of z at the 10% level of significance?

Accepted Answer

A) ±1.96 
B) ±1.65 
C) ±2.33 
D) ±0.10 
A) ±1.96 
B) ±1.65 
C) ±2.33 
D) ±0.10

Question 11

What test is an appropriate substitute for the ANOVA procedure if the assumptions for ANOVA cannot be met?

Accepted Answer

A) z 
B) t 
C) Rank correlation 
D) Kruskal−Wallis 
A) z 
B) t 
C) Rank correlation 
D) Kruskal−Wallis

Question 12

A sign test cannot be applied when the data are ________.

Accepted Answer

A) nominal 
B) ordinal 
C) interval 
D) ratio 
A) nominal 
B) ordinal 
C) interval 
D) ratio

Question 13

Twenty economists were sampled and asked to predict if the national economy would improve during the next 12 months. Eleven of the economists predicted an increase,two economists predicted no change,and seven economists predicted a decrease in the economy. Conduct a hypothesis test at the 0.10 significance level to determine if the majority of economists predicts an increase. The test statistic is ________.

Accepted Answer

A) 0.224 
B) 1.179 
C) 1.707 
D) 0.179 
A) 0.224 
B) 1.179 
C) 1.707 
D) 0.179

Question 14

Using the following data,the Wilcoxon signed-rank hypothesis test is used to test the hypothesis that the test results of a treatment after training are greater than the test results before the treatment. The Wilcoxon critical value is 3 for n = 7 with a 0.05 significance level. What decision should be made regarding the null hypothesis?

Accepted Answer

A) Reject the null hypothesis and conclude that After is greater than Before. 
B) Reject the null hypothesis and conclude that Before is greater than After. 
C) Fail to reject the null hypothesis. 
D) Reject the null hypothesis and conclude that there is no difference between the Before and After. 
A) Reject the null hypothesis and conclude that After is greater than Before. 
B) Reject the null hypothesis and conclude that Before is greater than After. 
C) Fail to reject the null hypothesis. 
D) Reject the null hypothesis and conclude that there is no difference between the Before and After.

Question 15

Which of the following values of Spearman's (rho)indicates the strongest relationship between two variables?

Accepted Answer

A) -0.91 
B) -0.05 
C) +0.64 
D) +0.89 
A) -0.91 
B) -0.05 
C) +0.64 
D) +0.89

Question 16

In a Kruskal-Wallis test,the null hypothesis states equality among five different populations. The sample size for each population exceeds five. What is the critical value for the test using a 0.05 significance level?

Accepted Answer

A) 1.960 
B) 5.05 
C) 9.488 
D) 2.776 
A) 1.960 
B) 5.05 
C) 9.488 
D) 2.776

Question 17

Fifty-five voters from a sample of 80 indicated they favored casino gambling in their city. The city council is interested in finding out whether there is a significant difference between the proportions of those favoring and not favoring casino gambling in their community. σ in this scenario is ________.

Accepted Answer

A) 8.94 
B) 3.42 
C) 4.47 
D) 7.42 
A) 8.94 
B) 3.42 
C) 4.47 
D) 7.42

Question 18

The Wilcoxon signed-rank test of differences requires that the data be at least ordinal scaled and that the two samples be related.

Accepted Answer

A) True 
 B)False

Question 19

The distribution of the sample statistic (H)for the Kruskal-Wallis test is approximately equal to the ________.

Accepted Answer

A) F-distribution 
B) t-distribution 
C) chi-square distribution 
D) standard normal distribution 
A) F-distribution 
B) t-distribution 
C) chi-square distribution 
D) standard normal distribution

Question 20

The alternate hypothesis states that the correlation between two populations is greater than zero. The test of significance is one-tailed.

Accepted Answer

A) True 
 B)False

What is the test statistic for Spearman's rank correlation?

A hypothesis test that a rank correlation coefficient is zero is conducted at the 5% level of significance. If the correlation coefficient is 0.50 for a sample of 15 observations,what is the computed value of the t-statistic?

A study was conducted on the percent of total advertising dollars spent by 10 local firms for advertising in the press and on cable television. Results were ranked with a resulting sum of squared differences equal to 128. What is the computed value of t?

A two-tailed test of hypothesis was conducted and 60 values were above the median. The computed z = 1.90. At the 0.05 level,what is the decision regarding the null hypothesis?

The following are the ratings (0 to 4)given by 12 individuals for two possible new flavors of soft drinks. Wilcoxon rank-sum is to be used. At the 0.05 level of significance,what is the decision?

For the rank correlation coefficient,what test statistic is used to test the null hypothesis that the correlation is zero?

To use the sign test with paired data,trials must ________.

What is a requirement that must be met before the Kruskal-Wallis one-way analysis of variance by ranks test can be applied?

When testing H₀: Median equals $12.40 and the alternate hypothesis: Median does not equal $12.40,what is the critical value of z at the 10% level of significance?

What test is an appropriate substitute for the ANOVA procedure if the assumptions for ANOVA cannot be met?

A sign test cannot be applied when the data are ________.

Which of the following values of Spearman's (rho)indicates the strongest relationship between two variables?

In a Kruskal-Wallis test,the null hypothesis states equality among five different populations. The sample size for each population exceeds five. What is the critical value for the test using a 0.05 significance level?

The Wilcoxon signed-rank test of differences requires that the data be at least ordinal scaled and that the two samples be related.

The distribution of the sample statistic (H)for the Kruskal-Wallis test is approximately equal to the ________.

The alternate hypothesis states that the correlation between two populations is greater than zero. The test of significance is one-tailed.

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Correlation and Linear Regression

Multiple Regression Analysis

Nonparametric Methods: Nominal Level Hypothesis Tests

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters

Exam 16: Nonparametric Methods: Analysis of Ordinal Data

What is the test statistic for Spearman's rank correlation?

A hypothesis test that a rank correlation coefficient is zero is conducted at the 5% level of significance. If the correlation coefficient is 0.50 for a sample of 15 observations,what is the computed value of the t-statistic?

A study was conducted on the percent of total advertising dollars spent by 10 local firms for advertising in the press and on cable television. Results were ranked with a resulting sum of squared differences equal to 128. What is the computed value of t?

A two-tailed test of hypothesis was conducted and 60 values were above the median. The computed z = 1.90. At the 0.05 level,what is the decision regarding the null hypothesis?

The following are the ratings (0 to 4)given by 12 individuals for two possible new flavors of soft drinks. Wilcoxon rank-sum is to be used. At the 0.05 level of significance,what is the decision?

For the rank correlation coefficient,what test statistic is used to test the null hypothesis that the correlation is zero?

To use the sign test with paired data,trials must ________.

What is a requirement that must be met before the Kruskal-Wallis one-way analysis of variance by ranks test can be applied?

When testing H0: Median equals $12.40 and the alternate hypothesis: Median does not equal $12.40,what is the critical value of z at the 10% level of significance?

What test is an appropriate substitute for the ANOVA procedure if the assumptions for ANOVA cannot be met?

A sign test cannot be applied when the data are ________.

Which of the following values of Spearman's (rho)indicates the strongest relationship between two variables?

In a Kruskal-Wallis test,the null hypothesis states equality among five different populations. The sample size for each population exceeds five. What is the critical value for the test using a 0.05 significance level?

The Wilcoxon signed-rank test of differences requires that the data be at least ordinal scaled and that the two samples be related.

The distribution of the sample statistic (H)for the Kruskal-Wallis test is approximately equal to the ________.

The alternate hypothesis states that the correlation between two populations is greater than zero. The test of significance is one-tailed.

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Correlation and Linear Regression

Multiple Regression Analysis

Nonparametric Methods: Nominal Level Hypothesis Tests

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters

When testing H₀: Median equals $12.40 and the alternate hypothesis: Median does not equal $12.40,what is the critical value of z at the 10% level of significance?