Score: 0 of 1 pt 4 of 8 (2 complete)HW Score: 24.11... 7.3.35 Question Help | *

Question

Score: 0 of 1 pt 4 of 8 (2 complete)HW Score: 24.11... 7.3.35 Question Help | * According to a candy company, packages of a certain candy contain 19% orange candies Find the approximate probability that the random sample of 400 candies will contain 22% or more orange candies. Using a normal approximation, what is the probability that at least 22% of 400 randomly sampled candies will be orange? P(20.22)- (Round to three decimal places as needed,) Enter your answer in the answer box and then click Check Answer All parts showing Clear All Check Answer

Explanation / Answer

Answer to the question is as follows:

n = 400

p = .19

p^ = .22

Therefore, P(p^ >=.22) = (p^-p)/sqrt(p*p'/n)

Now,

Z= (.22-.19)/sqrt(.19*.81/400)

Z= 1.53

P(Z>1.53) = .063

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