Sixteen 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 2100 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 2100.   (b)Find the standard deviation of p.   (c)Compute an approximation for P≤p0.14, which is the probability that there will be 14% or fewer left-handed people in a random sample of 2100. Round your answer to four decimal places.

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Sixteen 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 2100 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 2100.
 
(b)Find the standard deviation of p.
 
(c)Compute an approximation for P≤p0.14, which is the probability that there will be 14% or fewer left-handed people in a random sample of 2100.
Round your answer to four decimal places.
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