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Middle school students were surveyed about their sun safety practices. Of the 137 middle school students...

Middle school students were surveyed about their sun safety practices. Of the 137 middle school students surveyed, 82 said that they regularly wear sunscreen when participating in outdoor activities.

(a) Let p represent the proportion of all middle school students who regularly wear sunscreen. What is the point estimate for p? In other words, find pˆ. n <- 137 r <- 82 phat <- r/n phat ## [1] 0.5985401

(b) Using R, find a 90% confidence interval for p. Report final interval to 3 decimal places

(C) Interpret your confidence interval in the context of the problem.

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Answer #1

a) Point estimation for p is 0.598

b) 90 percent confidence interval: 0.525 to 0.668

c) Based on above confidence interval we can conclude that with 90% confidence, the proportion of students population lies between 52% to 66% who wear sunscreen when participating in outdoor activities

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