# Bernoulli trials

• Nov 12th 2010, 01:38 PM
wik_chick88
Bernoulli trials
a series of n Bernoulli trials is to be observed as data for testing $\displaystyle H_{0} : p = \frac{1}{2}$ versus $\displaystyle H_{1} : p > \frac{1}{2}$.
suppose that the null hypothese will be rejected only if k, the observed number of successes equals n.
for what value of p will the probability of making a Type II error equal 0.20?
• Nov 12th 2010, 09:59 PM
CaptainBlack
Quote:

Originally Posted by wik_chick88
a series of n Bernoulli trials is to be observed as data for testing $\displaystyle H_{0} : p = \frac{1}{2}$ versus $\displaystyle H_{1} : p > \frac{1}{2}$.
suppose that the null hypothese will be rejected only if k, the observed number of successes equals n.
for what value of p will the probability of making a Type II error equal 0.20?

You are being asked to find $\displaystyle$$p$ such that the probability $\displaystyle pr(k=n)=0.2$, where $\displaystyle pr(k=N)=b(N,n,p)$, so $\displaystyle pr(k=n)=b(n,n,p)=p^n$

CB
• Nov 27th 2010, 11:30 PM
wik_chick88
well u dont know k or n, so does that mean $\displaystyle p = \sqrt[n]{0.2}$, depending on what n is?
• Nov 28th 2010, 04:40 AM
CaptainBlack
Yes.

CB
• Dec 15th 2010, 04:56 AM
wik_chick88
• Dec 15th 2010, 05:15 AM
CaptainBlack
Quote:

Originally Posted by wik_chick88