Express the confidence interval (0.033,0.099) in the form of P-E<p<P+E
0.066-0.033 < p < 0.066+0.033
To express the confidence interval (0.033, 0.099) in the form of P - E < p < P + E, you need to calculate the midpoint and the margin of error.
Step 1: Calculate the midpoint (P)
The midpoint is the average of the lower and upper bounds of the confidence interval.
P = (0.033 + 0.099) / 2
P = 0.066
Step 2: Calculate the margin of error (E)
The margin of error is half the width of the confidence interval.
E = (0.099 - 0.033) / 2
E = 0.033 / 2
E = 0.0165
Now, you can express the confidence interval (0.033, 0.099) as P - E < p < P + E:
0.066 - 0.0165 < p < 0.066 + 0.0165