QUETION
Suppose a production facility purchases a particular component part in large lots from a supplier. The production manager wants to estimate the proportion of defective parts received from this supplier. She believes the proportion defective is no more than 0.22 and wants to be within 0.02 of the true proportion of defective parts with a 90% level of confidence. How large a sample should she take?
SOLUTION
In a sample with a number n of people surveyed with a probability of a success of and a confidence level of we have the following:
confidence interval of proportions
In which z is the z score that has a p-value of
The margin of error for the interval is:
We have and
90% confidence level
So,
How large a sample should she take?
We need a sample size of at least n.
n is found when
So,
Round off to the nearest whole numbers
Answer:
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