According to previous studies, 12% of the U.S. population is left-handed. Not knowing this, a high school student claims that thepercentage of left-handed people in the U.S. is 10%.The student is going to take a random sample of 1650 people in the U.S. to try to gather evidence to support the claim. Let p be theproportion of left-handed people in the sample.Answer the following. (If necessary, consult a list of formulas.)(a) Find the mean of p.(b) Find the standard deviation of p.(c) Compute an approximation for P (p<0.1), which is the probability that there will be 10% or fewerleft-handed people in the sample. Round your answer to four decimal places.

Answered: Image /qna-images/answer/0cc07e26-dc20-4362-b212-fe459f74f862.jpg

(a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P (p<0.1), which is the probability that there will be 10% or fewer left-handed people in the sample. Round your answer to four decimal places.

(a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P (p<0.1), which is the probability that there will be 10% or fewer left-handed people in the sample. Round your answer to four decimal places.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

According to previous studies, 12% of the U.S. population is left-handed. Not knowing this, a high school student claims that the
percentage of left-handed people in the U.S. is 10%.
The student is going to take a random sample of 1650 people in the U.S. to try to gather evidence to support the claim. Let p be the
proportion of left-handed people in the sample.
Answer the following. (If necessary, consult a list of formulas.)
(a) Find the mean of p.
(b) Find the standard deviation of p.
(c) Compute an approximation for P (p<0.1), which is the probability that there will be 10% or fewer
left-handed people in the sample. Round your answer to four decimal places.

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