SOLUTION: In a random sample of 380 residents of Fiction County, it was found that only 57 could correctly name the president of France. Use this information to construct a 90% confidence in

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Question 1186970: In a random sample of 380 residents of Fiction County, it was found that only 57 could correctly name the president of France. Use this information to construct a 90% confidence interval for p, the proportion of all residents of Fiction County who can correctly name the President of France.
Round your answers to three significant figures.
Answer: We are 90% confident that __ < p < __ .

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
p hat=57/380=0.15
90% half-interval is z(.95)*sqrt(.15*.85/380)
=1.645*0.0183
=0.0301
the interval is (0.120, 0.180)

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