Question

According to a survey by the Better Sleep Council, 33% of people admit to dozing off at their workplace. Assume this proportion represents the true proportion all workers who doze off at their workplace. If a random sample of 100 workers is selected from this population, determine the standard error of the proportion.

Answer 1

Answer:

Standard error of the proportion   = 0.04702

Step-by-step explanation:

Explanation:-

According to a survey by the Better Sleep Council, 33% of people admit to dozing off at their workplace

The sample proportion p = 33% = 0.33

q = 1-p = 1-0.33 = 0.67

Given a random sample of 100 workers is selected from this population

Given sample size 'n' = 100

The standard error of the Proportion  is determined by

                                                                                     $S.E = \frac{\sqrt{pq} }{\sqrt{n} }$

                                                                                      $S.E = \frac{\sqrt{0.33 X0.67} }{\sqrt{100} }$

Final answer:-

  Standard error of the proportion   = 0.04702