Express the confidence interval 33.8% < p < 45.4% in the form of p^ +- ME

Question

Express the confidence interval 33.8% < p < 45.4% in the form of p^ +- ME.

Unsure of what the two percentages would be.

Answer 1

1. First you need to define where point p would be, ie the midpoint between the two extremes of the margin of error (ME). That would be equal to:

p = (33.8+45.4)/2 = 39.6

1. Next you need to find the range between these two numbers and divide that by 2, so that you get the value that extends in either direction from value p to encompass the total ME. This is done via the equation:

ME = (45.4% - 33.8%) / 2 = 5.8

1. Now we put these all together and add the percent (%) like it were a unit.

p+-ME = 39.6% +- 5.8%