According to previous studies, 10% 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 12%. The student is going to take a random sample of 900 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 ≥0.12), which is the probability that there will be 12% or more left-handed people in the sample. Round your answer to four decimal places. E

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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According to previous studies, 10% 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 12%.
The student is going to take a random sample of 900 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 ≥0.12), which is the probability that there will be 12% or more left-handed people
in the sample. Round your answer to four decimal places.
G
Transcribed Image Text:According to previous studies, 10% 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 12%. The student is going to take a random sample of 900 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 ≥0.12), which is the probability that there will be 12% or more left-handed people in the sample. Round your answer to four decimal places. G
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