# As a condition of employment, Fashion Industries applicants must pass a drug test. Of the last 240 applicants, 26 failed the test. (Use  z Distribution Table.) a.Develop a 90% confidence interval for the proportion of applicants that fail the test. (Round your answers to 3 decimal places.)   For the applicants the confidence interval is between   and  . b.Would it be reasonable to conclude that more than 11% of the applicants fail the test?   NoYes

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 As a condition of employment, Fashion Industries applicants must pass a drug test. Of the last 240 applicants, 26 failed the test. (Use  z Distribution Table.)
 a. Develop a 90% confidence interval for the proportion of applicants that fail the test. (Round your answers to 3 decimal places.)

 For the applicants the confidence interval is between   and  .

 b. Would it be reasonable to conclude that more than 11% of the applicants fail the test? No Yes
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Step 1

a.

The 90% confidence interval for the proportion of applicants that fail the test is,

Step-by-step procedure to obtain the value of  using StatKey:

• Choose Normal under Theoretical Distributions.
• In Normal Distribution, click Edit Parameters.
• Enter mean as 0 and standard deviation as 1 and click Ok.
• Click the Centre Proportion value in graph and enter 90.
• Click Two-Tail.
• Click OK.

Output using the StatKey is given below:

Step 2

From the output, the value of  is 1.645 for 90% confidence.

The value of  p^ is obtained as follows:

Step 3

The 90% confidence interval i...

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