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A sample of ?00 operational amplifiers is chosen from a large batch and tested to evaluate...

A sample of ?00 operational amplifiers is chosen from a large batch and tested to evaluate if they meet industry standards. Suppose that ?0 out of 100 operational amplifiers meet current standards, construct a ?5 % confidence interval for the fraction of all transistors that meet industry standards. (Hint: use central limit theorem to approximate a binomial distribution as normal)

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Answer #1

Here it is given that ?0 out of 100 operational amplifiers meet current standards, So

Now as we see np>5 and nq>5, we can use z distribution to find CI

z value for 95% CI is 1.96 as

So Margin of Error is

Hence CI is

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