Question

A manufacturer knows that 2%2\% 2% 2, percent of its microchips are produced with a certain defect. They decide to change their process to make it more efficient, and they want to test if the new process has the same defect rate or not.

Answer 1

H0: p=0.02

Ha:p not equal 0.02

Explanation:

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Answer 2

Answer: 0.0776

Explanation:

Since the manufacturer knows that 2% of its microchips are produced with a certain defect. Then

P( defective) = 2/100 = 0.02

P( non defective) = 1 - 0.02 = 0.98

Probability of all 4 not defective will be

P(all 4 not defective) = 0.98^4 = 0.9224

Probability that at least one of the selected chip is defective will be

P(at one defective) = 1 - 0.9224

= 0.0776