Hypothesis Testing

[v-moda]

Can someone please explain this? How did that conclusion arrive?

P(Type I error) = P(reject H0 | H0 is true) = P(X1 ≤ c, X2 ≤ c | N = 16)

= cC2 / 16C2 = c(c-1)/240

What if it was
P(Type I error) = P(reject H0 | H0 is true) = P((X1+X2)/2 ≤ c | N = 16)
would the equation be different?

 

[hlsmith]

Is there a difference between C and c or is that a typographical error?

 

[Dason]

Is there a difference between C and c or is that a typographical error?

I believe the C is for "choose" and c is just a constant. So cC2 = \(\binom{c}{2}\)

 

[v-moda]

Yes what he said is correct