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%.