(a) Find the mean of p, wherep is the proportion of left-handed individuals in a random sample of 1650. (b) Find the standard deviation of p. (c) Compute an approximation for P(p<0.14), which is the probability that there will be 14% or fewer left-handed people in a random sample of 1650. Round your answer to four decimal places.

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Twelve percent of the world's population is left-handed. A researcher claims that left-handed individuals are more creative than those who aren't left-
handed. In order to support his claim, he takes a sample of 1650 artists and finds that 14% of them are left-handed.
Answer the following. (If necessary, consult a list of formulas.)
(a) Find the mean of p, where p is the proportion of left-handed individuals in a random sample of 1650.
(b) Find the standard deviation of p.
(c) Compute an approximation for P(p<0.14), which is the probability that there will be 14% or fewer left-handed people
in a random sample of 1650. Round your answer to four decimal places.
Transcribed Image Text:Twelve percent of the world's population is left-handed. A researcher claims that left-handed individuals are more creative than those who aren't left- handed. In order to support his claim, he takes a sample of 1650 artists and finds that 14% of them are left-handed. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of left-handed individuals in a random sample of 1650. (b) Find the standard deviation of p. (c) Compute an approximation for P(p<0.14), which is the probability that there will be 14% or fewer left-handed people in a random sample of 1650. Round your answer to four decimal places.
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