Question

An SRS of 2,500 individuals was taken from a large city to estimate the percentage of city residents with a graduate degree. 555 people in the sample had a graduate degree. The percentage of individuals in the city with a graduate degree is estimated as 22.2%. The estimated standard error is closest to:_______a. 1%b. 10% c. 0.1%

Answer 1

Answer:

The option is  b

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  2500

   The number with a graduate degree is  k =  555

    The sample  proportion is $\^ p = 0.222$

Generally the standard error is mathematically represented as

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

=>        $SE = \sqrt{\frac{0.222 (1- 0.22 )}{2500 } }$

=>        $SE = 0.010$

Converting to percentage

           $SE = 0.010 * 100$

=>       $SE =10\%$