The Essentials of Statistics: A Tool for Social Research
4th Edition
ISBN: 9781305802698
Author: Joseph F. Healey
Publisher: Cengage Learning US
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Textbook Question
Chapter 2, Problem 2.9P
SOC Twenty-five students completed a questionnaire that measured their attitudes toward interpersonal violence. A high score indicates that the respondent believed that physical force could legitimately be used in many situations. Low scores mean that the respondent thought that violence could be justified in few or no situations.
| 52 | 47 | 17 | 8 | 92 |
| 53 | 23 | 28 | 9 | 90 |
| 17 | 63 | 17 | 17 | 23 |
| 19 | 66 | 10 | 20 | 47 |
| 20 | 66 | 5 | 25 | 17 |
a. Construct a frequency distribution to display these data.
b. What are the midpoints of the class intervals?
c. Add columns to the table to display the percentage distribution, cumulative frequencies, and cumulative percentages.
d. Write a paragraph summarizing this distribution of scores.
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3. (i) Consider the following R code:
wilcox.test(UK Supermarkets $Salary ~ UKSupermarkets $Supermarket)
(a) Which test is being used in this code?
(b) What is the name of the dataset under consideration?
How would be adapt this code if we had ties? What other command
can be used which deals with ties?
(ii) Consider the following R code:
install packages("nortest")
library(nortest)
lillie.test (Differences)
(a) Assuming the appropriate dataset has been imported and attached,
what is wrong with this code?
(b) If this code were to be corrected, what would be determined by run-
ning it?
[3 Marks]
1. (i) Explain the difference in application between the Mann-Whitney U test
and the Wilcoxon Signed-Rank test, i.e. in which scenarios would each test be
used?
(ii) What is the main procedure underlying these nonparametric tests?
[3 Marks]
You may need to use the appropriate appendix table or technology to answer this question.
You are given the following information obtained from a random sample of 4 observations.
24
48
31
57
You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.)
(a)
State the null and the alternative hypotheses. (Enter != for ≠ as needed.)
H0:
Ha:
(b)
Determine the test statistic. (Round your answer to three decimal places.)
(c)
Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject H0. There is insufficient evidence to conclude that the mean of the population is different from 49.Do not reject H0. There is sufficient evidence to conclude that the…
Chapter 2 Solutions
The Essentials of Statistics: A Tool for Social Research
Ch. 2 - SOC The table that follows reports the marital...Ch. 2 - SOC At. St. Winnefred Hospital, the number of...Ch. 2 - CJ The town of Shinbone, Kansas, has a population...Ch. 2 - CJ The numbers of homicides in five U.S. states...Ch. 2 - SOC The scores of 15 respondents on four variables...Ch. 2 - SW A local youth service agency has begun a sex...Ch. 2 - Twenty-five residents of a community for senior...Ch. 2 - GER Twenty-five residents of a community for...Ch. 2 - SOC Twenty-five students completed a questionnaire...Ch. 2 - PA/CJ As part of an evaluation of the efficiency...
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