Question

In an opinion poll, 29% of 100 people sampled said they were strongly opposed to the state lottery. What is the approximate standard error of the sample proportion?

Answer 1

Answer:

  The approximate standard error of the sample proportion is $SE = 0.0454$

Step-by-step explanation:

From the question we are told that

      The  sample proportion is  $\r p = 0.29$

       The  sample size is  n =  100

     

Generally the standard error of the sample proportion is mathematically represented as

         $SE = \sqrt{ \frac{ \r p (1- \r p )}{n} }$

substituting values    

         $SE = \sqrt{ \frac{ 0.29 (1- 0.29 )}{ 100 } }$

         $SE = 0.0454$