Use the information from the polling agency to determine the sample size needed to construct a 95% confidence interval with a margin of error of no more than 3.6%. For consistency, use the reported sample proportion for the planning value of p* (rounded to 4 decimal places) and round your Z* value to 3 decimal places. Your answer should be an integer.

the sample size n= 771

sample proportion is p = 1/2

Step-by-step explanation:

Step1:-

marginal error formula is

but if 'n' is sample size then

Given margin error is 36% = 0.036

on simplification , we get n= 777 polling agencies

Step 2:-

substitute values , we get

after simplification, we get

squaring on both sides, we get

multiply 'p' inside

cross multiplication '4' and simplify

........(1)

finding 'p' value

The equation (1) is of the form

conclusion:-

The sample size is 771

the sample proportion is p =