A candy company claims that in a large bag (over 1,000 pieces) of holiday candy

Question

A candy company claims that in a large bag (over 1,000 pieces) of holiday candy half the candies are red and half the candies are green. You pick candies at random from a bag and discover that of the first 50 you eat, 26 are red. a) If it were true that half are red and half are green, what is the probability you would have found that at least 26 out of 50 were red? b) Do you think that half of the candies in the bag are really red? Explain. a) The probability is(Round to three decimal places as needed.)

Explanation / Answer

Ans:

Given that

p=0.5

sample proportion=26/50=0.52

a)

z=(0.52-0.5)/sqrt(0.5*(1-0.5)/50)

z=0.283

P(z>=0.283)=0.389

b)

Yes,as probability in part is usual(>0.05)

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