As a condition of employment, fashion industries applicants must pass a drug test. of the last 220 applicants, 14 failed the test. develop a 99% confidence interval for the proportion of applicants that fail the test. would it be reasonable to conclude that more than 10% of the applicants are now failing the test?

Of the last 220 applicants, 14 failed the test.

So, we have the sample proportion = = 0.064

At 99% confidence interval, z score is 2.576

Standard error or E = and

= and

= 0.0215, 0.1065

Rounding off we get 0.02,0.11

In percentage the applicants who failed lies between interval 2% and 11%.

So, yes it would be reasonable to conclude that more than 10% of the applicants are now failing the test.

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