Question 1206894
sample size is 341. .023
p = .74
q = 1 - .74 = .26


sample proportion mean is .74
sample standard error = sqrt(p * q / n) = sqrt(.74*.26/341) = .02375 rounded to 5 decimal places.


critical z-score at 90% two tail confidence interval is equal to plus or minus 1.64485 rounded to 5 decimal places.


z-score formula of z = (x-m)/s is used.
in this problem:
z = z-score z-score
x = critical raw score
m = mean proportion
s = standard error


on the high side, z-score formula becomes 1.64485 = (x - .74) / .02375.
solve for x to get x = 1.64485 * .02375 + .74 = .779 rounded to 3 decimal places.


on the low side, z-score formula becomes -1.64485 = (x - .74) / .02375.
solve for x to get x = -1.64485 * .02375 + .75 = .701 rounded to 3 decimal places.


your 90% interval is from .701 to .779.
that's your solution.
i believe that's going to be (.701,.779) in interval form.