Question 1
A small private college is interested in determining the percentage of its students who live off campus and drive to class. Specifically, it was desired to determine if less than 20% of their current students live off campus and drive to class. Find the large-sample rejection region for the test of interest to the college when using a level of significance of 0.01.
◦ Reject H
0 if z < -2.33 or z > 2.33.
◦ Reject H
0 if z < -1.28.
◦ Reject H
0 if z < -2.33.
◦ Reject H
0 if z < -1.96.
Question 2
A small private college is interested in determining the percentage of its students who live off campus and drive to class. Specifically, it was desired to determine if less than 20% of their current students live off campus and drive to class. A sample of 108 students was randomly selected and the following printout was obtained:
Hypothesis Test - One Proportion
Sample Size
108
Successes
16
Proportion
0.14815
Null Hypothesis:
P = 0.2
Alternative Hyp:
P < 0.2
Difference
-0.05185
Standard Error
0.03418
Z
-1.35
p-value
0.0885
Based on the information contained in the printout, what conclusion would be correct when testing at
.
◦ Fail to reject H
0◦ Accept H
0◦ Reject H
0◦ Accept H
A
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