Question

Assume that a sample is used to estimate a population proportion p. Find the margin of error M.E. that corresponds to a sample of size 235 with 115 successes at a confidence level of 98%.

Answer 1

The formula for calculating the Margin of Error (M.E.) that is associated with estimating the population proportion p is given as-

where, the proportion in a random sample with the characteristic of interest.

Sample size,

For 98% confidence level,

So, the critical value for 98% confidence level is

Now the using the values we can calculate the Margin of Error(M.E.)-

So, the Margin of error (M.E.) is calculated as