Ten 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 900 artists and finds that 8% 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 900 .   (b)Find the standard deviation of p .   (c)Compute an approximation for P≤p0.08 , which is the probability that there will be 8% or fewer left-handed people in a random sample of 900 . Round your answer to four decimal places.

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Ten 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

900

artists and finds that

8%

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
900
.
 
(b)Find the standard deviation of
p
.
 
(c)Compute an approximation for
P≤p0.08
, which is the probability that there will be
8%
or fewer left-handed people in a random sample of
900
. Round your answer to four decimal places.
 

 

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