A survey claims that the percent of an entire population that agrees with redeveloping the city park is likely between 49.1% and 57.5%. The remainder of the people in the survey were against redevelopment. How many people were surveyed?

567 people were surveyed.

Step-by-step explanation:

Given:

A survey claims that the percent of an entire population that agrees with redeveloping the city park is likely between 49.1% and 57.5%.

Now, to find total people who were surveyed.

According to survey percent of population agrees between = 49.1% to 57.5%.

So, we need to find the error of margin:

Let the number of people surveyed be

Now, to get the number of people surveyed:

By cross multiplying we get:

Using square root on both sides we get:

Approximately:

Therefore, 567 people were surveyed.

a is the right answer