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.
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.
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12a638e8-e32c-4302-9e41-92e57ed14e4e%2F4c541ea6-3a46-4516-be0d-8ae3deee9090%2Futbmar_processed.png&w=3840&q=75)
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.
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