Final answer:
To construct a confidence interval for a population proportion, you can use the formula p' = x/n and calculate the Margin of Error using the Critical Value and Standard Deviation. Then substitute the given values into the formula to calculate the confidence interval.
Step-by-step explanation:
To construct a confidence interval for the population proportion p, we can use the formula:
p' = x/n
Then we can calculate q' = 1-p'.
Next, we can calculate the confidence interval using the formula:
p' ± Margin of Error
The Margin of Error can be calculated as:
Margin of Error = Critical Value * Standard Deviation
We can find the Critical Value using a z-table or calculator function for a given confidence level.
Finally, we substitute the given values into the formula to calculate the confidence interval.