Question

According to a candy​ company, packages of a certain candy contain 21​% orange candies. Find the...

According to a candy​ company, packages of a certain candy contain 21​% orange candies. Find the approximate probability that the random sample of 500 candies will contain 23​% or more orange candies.

Homework Answers

Answer #1
for normal distribution z score =(p̂-p)/σp
here population proportion=     p= 0.210
sample size       =n= 500
std error of proportion=σp=√(p*(1-p)/n)= 0.0182

probability that the random sample of 500 candies will contain 23​% or more orange candies :

probability = P(X>0.23) = P(Z>1.1)= 1-P(Z<1.1)= 1-0.8643= 0.1357

(try 0.1361 if this comes wrong due to rounding error)

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