Question

ABOUT HOW MANY NO RESPONCES COULD YOU EXPECT FROM A POPULATION OF 500 WITH 15 OUT OF 60 YES RESPONSES FROM A SAMPLE. A. 15B. 45C. 125D.375 NOT A TEST.

Answer 1

Total population = 500

15 out of 60 gives a YES response

This implies

Probability of getting a YES response is

`(15)/(60)`

Out of the 500 population

The number of YES responses will be

`500*(15)/(60)`

Simplifying this gives

`\begin{gathered} 500*(15)/(60) \\ =500*(1)/(4) \\ =125 \end{gathered}`

Hence out of 500 population 125 responses will be YES

Therefore, the number of NO responses is

`500-125=375`

Therefore, the number of NO responses is 375