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One thousand randomly selected adult Americans participated in a survey. When asked "Do you think it...

One thousand randomly selected adult Americans participated in a survey. When asked "Do you think it is sometimes justified to lie or do you think lying is never justified?" 53% responded that lying was never justified. When asked about lying to avoid hurting someone's feelings, 680 responded that this was often or sometimes OK.

a. Construct a 90% confidence interval for the proportion of adult Americans who think lying is never justified. (Use a table or technology. Round your answers to three decimal places.)

b. Construct 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. (Use a table or technology. Round your answers to three decimal places.)

Math   Statistics-And-Probability   
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Answer #1

(a) CI for lying is never justified

= 0.53

CI = 0.53 +/- 0.026

CI = 0.504 ,   0.556

(b) CI  for the proportion of adult Americans who think that it is often or sometimes OK to lie to avoid hurting someone's feelings.

= 680 / 1000 = 0.68

CI = 0.68 +/- 0.0243

CI = 0.656 ,   0.704

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