Question

Use the given data to construct a confidence interval for the population proportion p of the requested level. =x48, =n69, confidence level 99.5%

Answer 1

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.