One thousand randomly selected adult Americans participated in a survey conducted by the Associated Press (June, 2006). When asked “Do you think it is sometimes justified to lie, or do you think lying is never justified?” 52% responded that lying was never justified. When asked about lying to avoid hurting someone’s feelings, 650 responded that this was often or sometimes OK.
a. Construct and interpret a 90% confidence interval for the proportion of adult Americans who would say that lying is never justified.
b. Construct and interpret a 90% confidence interval for the proportion of adult Americans who think that it is often or sometimes OK to lie to avoid hurting someone’s feelings.
c. Using the confidence intervals from Parts (a) and (b), comment on the apparent inconsistency in the responses.