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 okay.
a. Construct a 90% confidence interval for the proportion of adult Americans who think lying is never justified.
b. Construct a 90% confidence interval for the proportion of adult Americans who think that it is often or sometimes okay to lie to avoid hurting someone's feelings.
c. Comment on the apparent inconsistency in the responses given by the individuals in this sample.