Question 11 An official of a large national union claims that the fraction of wo
ID: 3235848 • Letter: Q
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Question 11
An official of a large national union claims that the fraction of women in the union is not significantly different from one-half. Using the sample information reported below, carry out a test of this statement. Use a .05 level of significance. What is(are) the critical value(s) of test statistic?
women
men
Select one:
A. -1.96 to 1.96
B. -1.96
C. -1.645 and 1.645
D. None of the above answers is correct
Question 12
Recently, a local newspaper reported that part-time students are older than full time students. In order to test the validity of its statement, two independent samples of students were selected. The following shows the ages of the students in the two samples. Using the following data, test to determine whether or not the average age of part time students is significantly more than full-time students. Use an Alpha of 0.05. Assume the populations are normally distributed and have equal variances.
If the value of the t statistic is 0.8, what conclusion should be drawn?
Select one:
A. Reject null hypothesis, average age of part time students is significatly higher than full-time students
B. Fail to reject null hypothesis, average age of part time students is significatly higher than full-time students
C. Fail to reject null hypothesis, average age of part time students is not significatly higher than full-time students
D. Reject null hypothesis, average age of part time students is significatly lower than full-time students
Question 13
A student claims that the average grade on the final examination in statistics is going to be at least 85. Another student plans on taking a sample to test the other student's claim. The correct set of hypotheses is
Select one:
sample size 400women
168men
232Explanation / Answer
Answer:
Question 11
An official of a large national union claims that the fraction of women in the union is not significantly different from one-half. Using the sample information reported below, carry out a test of this statement. Use a .05 level of significance. What is(are) the critical value(s) of test statistic?
sample size
400
women
168
men
232
Select one:
A. -1.96 to 1.96
B. -1.96
C. -1.645 and 1.645
Answer: D. None of the above answers is correct
(critical values are -1.96 and 1.96)
Question 12
Recently, a local newspaper reported that part-time students are older than full time students. In order to test the validity of its statement, two independent samples of students were selected. The following shows the ages of the students in the two samples. Using the following data, test to determine whether or not the average age of part time students is significantly more than full-time students. Use an Alpha of 0.05. Assume the populations are normally distributed and have equal variances.
Full Time(1)
Part Time (2)
19
21
18
17
17
25
22
19
18
20
19
18
20
Df=11 ,critical value =2.201
If the value of the t statistic is 0.8, what conclusion should be drawn?
Select one:
A. Reject null hypothesis, average age of part time students is significatly higher than full-time students
B. Fail to reject null hypothesis, average age of part time students is significatly higher than full-time students
Answer: C. Fail to reject null hypothesis, average age of part time students is not significatly higher than full-time students
D. Reject null hypothesis, average age of part time students is significatly lower than full-time students
Question 13
A student claims that the average grade on the final examination in statistics is going to be at least 85. Another student plans on taking a sample to test the other student's claim. The correct set of hypotheses is
Select one:
A. H0: < 85Ha: 85
B. H0: 85Ha: > 85
C. H0: 85 Ha: < 85
D. H0: > 85Ha: 85
sample size
400
women
168
men
232
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