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In: Statistics and Probability

10. One article describes a study of 81 randomly selected young adults with pierced tongues. The...

10. One article describes a study of 81 randomly selected young adults with pierced tongues. The researchers found receding gums, which can lead to tooth loss, in 25 of the participants.

(a) Construct a 95% confidence interval for the proportion of young adults with pierced tongues who have receding gums. (Don’t forget to check all conditions necessary to your construction!)

(b) Write a sentence in which you correctly interpret the confidence interval you created.

(c) Would the interval you found in (a) have been wider, narrower, or the same width if only 60 young adults had been sampled?

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