A survey conducted in a certain city found that 1 out of every 8 individuals took a bus to work. A statistician calculated the margin of error to be 2.5%. What is the maximum percentage of individuals who take the bus to work?

Respuesta :

Answer:

15%

Step-by-step explanation:

1 out of every 8 individual too a bus to work.

This means proportion of individuals who took the bus to work = p = [tex]\frac{1}{8}[/tex] = 12.5%

Margin of error = E = 2.5%

The percentage of individuals who take the bus to work will be between:

p - E and p + E

where p - E will be the minimum percentage and p + E will be the maximum percentage.

Using the given values, we get:

p - E = 12.5% - 2.5% = 10%

p + E = 12.5% + 2.5% = 15%

Thus, the confidence interval for percentage of individuals who take the bus to work is (10%, 15%)

Therefore, maximum percentage of individuals who take the bus to work is 15%.