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According to the manufacturer of a certain​ candy, 9% of the candy produced are red. If...

According to the manufacturer of a certain​ candy, 9% of the candy produced are red. If we take a random sample of 100 bags of the​ candy, what is the probability that the proportion in our sample of red candies will be less than​ 20%? Which one of the following conditions for using the Central Limit Theorem for Sample Proportions is not​ met? 

A.

If the sample is collected without​ replacement, ten the population size must be at least 10 times bigger than the sample size.

B.

The sample is randomly selected from the population and the observations are independent of each other.  

C.

The sample size is large enough that the sample expects enough success and failures.

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Answer #1

Correct option is :

C.

The sample size is large enough that the sample expects enough success and failures.

(since np=100*0.09 =9 ; which is less than 10)

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