1) What are the boundaries of a 95% confidence interval for 60?
(a) (57.38%, 62.24%)
(b) (57.58%, 62.44%)
(c) (57.08%, 62.95%)
2) What does this confidence interval tell us about U.S. adults living in households in 2018?
(a) We can be 95% confident that the percentage of all U.S. adults living in households who believe that marijuana should be made legal is somewhere between the boundaries of our interval from Q10.
(Question 10: Assuming that it was 57% of all U.S. adults that believed marijuana should be made legal in 2018, what is the standard deviation of the sample percentages who believe that marijuana should be made legal when we take a random sample of 1563? Answer: 0.84%)
(b) There is a 95% chance that the percentage of all U.S. adults living in households who believe that marijuana should be made legal is somewhere between the boundaries of our interval from Q10.
(c) We can be 95% confident that the percentage of U.S. adults living in households sampled by the GSS who believe that marijuana should be made legal is somewhere between the boundaries of our interval from Q10.
Based on your answers to Q13 and Q14, is it reasonable to believe that it was actually 57% of all U.S. adults in 2018 that would say that marijuana should be made legal?
3) Based on your answers to Q13 and Q14, is it reasonable to believe that it was actually 57% of all U.S. adults in 2018 that would say that marijuana should be made legal?
(a) No, since all of the values between the boundaries of the interval from Q10 are higher than 57%.
(b) Yes, since all of the values between the boundaries of the interval from Q10 are higher than 57%.
(c) Yes, since the boundaries of a confidence interval only narrow down the possibilities for the sample percentage, not the population percentage.