Question

In: Statistics and Probability

Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take...

Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year. She finds that the proportion of people taking extended vacations nationally is 15%.

What is the standard deviation of the sample proportion? Answer choices are rounded to the thousandths place.

0.076

0.032

0.800

0.014

Expert Solution

Ans:

Given data :

Sukie interviewed number of employees ( n) = 125

Number of them planned to take an extended vacation next year = 21

proportion of people taking extended vacations nationally ( p) = 15%.

Now we have to find out the :

What is the standard deviation of the sample proportion:

We know, the formula for the standard deviation is ,

standard deviation () =

=

= 0.0319 0.032

= 0.032

Standard deviation () = 0.032

From the question , the correct answer is " option b"

option b is " 0.032 "

orchestra answered 2 years ago

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