Example of a proportional confidence interval formula:
CI95 = p + or - (1.96)[√(pq/n)]
...where p = x/n, q = 1 - p, and n = sample size.
Note: + or - 1.96 represents 95% confidence interval.
For p in your problem: 40/90 = 0.44
For q: 1 - p = 1 - 0.44 = 0.56
n = 90
I let you take it from here to calculate the interval.
A survey of 90 families showed that 40 owned at least one gun. Find the 95%
confidence interval of the true proportion of families who own at least one gun.
Example
2 answers
89.98 to 90.02