Question

(1 point) You are conducting a study to estimate the population proportion of people who follow college football. You suspect that the population proportion is around 0.15. What size of sample do you need, so that you can use a normal distribution to approximate p ^ p^ , the sample proportion of people who follow college football?

Answer 1

The population proportion which is p is around 0.15.

Let us assume to use a normal distribution to approximate $\hat{p}$ is $np\geq 10$ and $n(1-p)\geq 10$.

np = 10

n x 0.15 = 10

$n=\frac{10}{0.15}$

n = 66.6

So , the sample size is approximated to 67.