A new voice mail system is installed. After 2 hours of training, employees are e

Question

A new voice mail system is installed. After 2 hours of training, employees are expected to be able to compose and send a message to a distribution list. Three days later, 30 employeess are asked to demonstrate this procedure. Of the 30 sampled, 7 successfully composed and send a message. If these thirty represent a random sample of employees, what is the 99% interval estimation for the percent of employees who can successfully compose and send a message to a distribution list.

Select one:

A. [0.0821, 0.3851]

B. [0.1070, 0.3600]

C. [-0.2333, 0]

D. [0.0344, 0.4322]

Explanation / Answer

The 99% c.i=Ps+-Zsqrt [Ps(1-Ps)/N], where, Ps is sample proportion, Z correspond to z score at 99% c.i. and N is sample size.

99% c.i=7/30+-2.58 sqrt [7/30(1-7/30)/30]

=0.0344 to 0.4322 D)

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