From a manufacturing process, $n = 25$ items are manufactured. Let $X$ be the number of defectives found in the lot. Construct a $\alpha = 0.01$ level test to see if the proportions of defectives is greater than $10$%. What are your assumptions?
My attempted answer is :
We need at least $3$ defectives in order for the proportion of defectives to be greater than $10$%
($p$ is the proportion of defectives)
$H_0$ : $p \leq 0.1$
$H_1 : p \geq 0.1$
I will reject $H_0$ if $X > 3$
Specifically, I don't understand how alpha will affect the answer