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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 55 responded that lying was never justified When asked about lying to avoid hurting someone s feelings 670 responded that this was often or sometimes OK USE SALT a Construct a 90 confidence interval for the proportion of adult Americans who think lying is never justified Enter your answer using interval notation Round your numerical values to three decimal places Interpret the interval We are 90 confident that the true proportion of adult Americans who think lying is never justified falls directly in the middle of this interval There is a 90 chance that the true proportion of adult Americans who think lying is never justified falls within this interval c We are 90 confident that the mean number of adult Americans who think lying is never justified falls within this interval There is a 90 chance that the true proportion of adult Americans who think lying is never justified falls directly in the middle of this interval We are 90 confident that the true proportion of adult Americans who think lying is never justified falls within this interval MY NOTES 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 Enter your answer using interval notation Round your numerical values to three decimal places Interpret the interval We are 90 confident that the true proportion of adult Americans who think that it is often or sometimes OK to lie to avoid hurting someone s feelings falls directly in the middle of this interval There is a 90 chance that the true proportion of adult Americans who think that it is often or sometimes OK to lie to avoid hurting someone s feelings falls within this interval We are 90 confident that the true proportion of adult Americans who think that it is often or sometimes OK to lie to avoid hurting someone s feelings falls within this interval There is a 90 chance that the true proportion of adult Americans who think that it is often or sometimes OK to lie to avoid hurting someone s feelings falls directly in the middle of this interval We are 90 confident that the mean number of adult Americans who think that it is often or sometimes OK to lie to avoid hurting someone s feelings falls within this interval Using the confidence intervals from parts a and b comment on the apparent inconsistency in the responses 500 of adult Americans would say that lying is never justified The confidence interval in part b

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