Suppose that Statistics instructor usually makes an adjustment for the final grades on 25% of her students' emails.
She takes the survey for her own research which is related to the relationship between students' final grades and the students' emails she receives relating to grades. In her survey, she computes the standard error of the proportion for emails as 0.0625.
Using the information above,
(i) determine how large was the sample used in her analysis.
(ii) Using the sampling distribution, compute the probability that the instructor obtains a grade adjustment on 30% or more of her students' emails, (Use a distribution graph in your solution).