Question

We are testing the hypothesis
H0:p=.75
Ha:p<.75

for the # the proportion of people who find an enrollment website “easy to use.” The test will be based on a simple random sample of size 400 and at a 1% level of significance. Recall that the sample proportion vary with mean p and standard deviation
= sqroot( p(1-p)/n)
You shall reject the null hypothesis if
The P_value of the test is less than 0.01
a) Find the probability of a type II error if in fact
p=0.72
b) Find the probability of a type II error if in fact
p=0.65
c) Find the probability of a type II error if in fact
p=0.60

Answer 1

a)

( please try 0.8186 if this comes wrong)

b)

( please try 0.0188 if this comes wrong)

c)