Suppose we have a binomial experiment in which success is defined to be a particular quality...

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Question

Suppose we have a binomial experiment in which success is defined to be a particular quality...

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a) Suppose n = 30 and p = 0.22. Can we approximate p̂ by a normal distribution? Why? (Use 2 decimal places.)

math Statistics-And-Probability

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Answer 1

Answer #1

Here we have

n=30 and p=0.22

Since np = 30* 0.22 = 6.6 and n(1-p) = 23.4 both are greater than 5 so we can use normal approximation.

The sampling distribution of sample proportion will be approximately normal with mean

and standard deviation

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Answer 2

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