[College Intro to Statistics: Hypothesis Testing] What is the minimum sample size needed to perform a hypothesis test for proportions?
Hi everyone, I just need help understanding how I got the wrong answer on a practice test. Here is the prompt:
"A teacher wants to determine if the pass rate for a particular group of students is significantly different from 81**%.**
What is the minimum sample size needed in order to perform a hypothesis test for proportions?"
The answer I got was 13.
I used the equation n(p) is greater than/equal to 10.
But the correct answer is 53, which I know can be solved by using n(1-p) is greater than or equal to 10.
My issue is the question asked for minimum sample size, so wouldn't that mean 13 is the minimum? I am doing an online course, and the online instructor just repeated n(1-p) to me via email without explaining why that is preferred over the one I used. Can anyone help?