Which of the following statements is not true? A. In general, you can reject the null hypothesis when x is very large. B. A segmented bar graph is useful in observing when two variables may be independent. C. For a chi-square test of independence, the larger the x' statistic, the weaker the association between the two variables. 6. D. In general, a very large x value matches with a very small, and significant, P-value.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Which of the following statements is not true?
A. In general, you can reject the null hypothesis when x' is very large.
B. A segmented bar graph is useful in observing when two variables may be
independent.
C. For a chi-square test of independence, the larger the x statistic, the weaker
the association between the two variables.
6.
D. In general, a very large x value matches with a very small, and significant,
P-value.
7.
The table on the left lists the percentage of U.S. motor vehicle traffic fatalities
in alcohol-related crashes by age group in 2002. Suppose that in a random
sample of 1000 alcohol-related motor vehicle traffic fatalities for the following
year, the distribution was as shown in the table on the right.
Percent of Alcohol-
Related Fatalities
in 2002
Number of Alcohol-
Related Fatalities
in 2003
Age
Age
Younger Than 20
14.5
Younger Than 20
156
20-29
24.5
20-29
223
30-39
23.3
30-39
246
40-49
19.1
40-49
171
50 and Older
18.6
50 and Older
204
Now suppose you use a chi-square goodness-of-fit test in order to test the null
hypothesis that the age distribution of alcohol-related motor vehicle traffic
fatalities in 2003 is the same as the age distribution in 2002. You compute
x2 = 7.37. At the 5% significance level, which of the following is an
appropriate conclusion?
A. Because the P-value is less than .05, you reject the null hypothesis.
B. Because the P-value is less than .05, you fail to reject the null hypothesis.
C. Because the P-value is greater than .05, you reject the null hypothesis.
D. Because the P-value is greater than .05, you fail to reject the null hypothesis.
E. Because the conditions for a chi-square goodness-of-fit test are not
satisfied, an appropriate conclusion can not be drawn.
Transcribed Image Text:Which of the following statements is not true? A. In general, you can reject the null hypothesis when x' is very large. B. A segmented bar graph is useful in observing when two variables may be independent. C. For a chi-square test of independence, the larger the x statistic, the weaker the association between the two variables. 6. D. In general, a very large x value matches with a very small, and significant, P-value. 7. The table on the left lists the percentage of U.S. motor vehicle traffic fatalities in alcohol-related crashes by age group in 2002. Suppose that in a random sample of 1000 alcohol-related motor vehicle traffic fatalities for the following year, the distribution was as shown in the table on the right. Percent of Alcohol- Related Fatalities in 2002 Number of Alcohol- Related Fatalities in 2003 Age Age Younger Than 20 14.5 Younger Than 20 156 20-29 24.5 20-29 223 30-39 23.3 30-39 246 40-49 19.1 40-49 171 50 and Older 18.6 50 and Older 204 Now suppose you use a chi-square goodness-of-fit test in order to test the null hypothesis that the age distribution of alcohol-related motor vehicle traffic fatalities in 2003 is the same as the age distribution in 2002. You compute x2 = 7.37. At the 5% significance level, which of the following is an appropriate conclusion? A. Because the P-value is less than .05, you reject the null hypothesis. B. Because the P-value is less than .05, you fail to reject the null hypothesis. C. Because the P-value is greater than .05, you reject the null hypothesis. D. Because the P-value is greater than .05, you fail to reject the null hypothesis. E. Because the conditions for a chi-square goodness-of-fit test are not satisfied, an appropriate conclusion can not be drawn.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman