In: Statistics and Probability
Are U-Albany students more likely to approve gun control than
adults in the U.S.? According to a research report, on a scale from
1 to 10, the mean approval of gun control in the U.S. is 7.8. The
mean approval of gun control in a random sample of 26 U-Albany
students is 8.3, with the standard deviation of 2.2. Use α = 0.01
for the hypothesis testing. Questions 28 to 32 are based on this
example.
28. What would be the H0 for the example?
A. U-Albany students are equally likely to approve gun control than
adults in the U.S.
B. The likelihood of approving gun control among U-Albany students
is different from that of the U.S. adults.
C. There is no difference between the 26 U-Albany students and all
U.S. adults in terms of their attitudes toward gun control.
D. U-Albany students are less likely to approve gun control than
adults in the U.S.
29. What would be the t critical value(s)?
30. What’s the standard error based on the sample information?
31. What is the t obtained value?
32. What conclusion can we make for this
example?
A. We cannot reject the null hypothesis that the mean approval of
gun control among the 26 U-Albany students is 8.3.
B. There is no enough evidence to reject the null hypothesis that
the mean approval of gun control among U-Albany students is
8.3.
C. We cannot reject the null hypothesis that the mean approval of
gun control among all U-Albany students is 7.8.
D. We can reject H0 and accept H1 that the mean approval of gun
control among all U-Albany students is larger than 7.8.