Question

Problem 5: A researcher wants to see if she can confidently claim that over 20% of YC students
plan to transfer to Sac State. She will randomly sample 600 students. She decides to reject H0 if
p^ 0.233 where Ha : p> 0.20
.
a) For the test she set up, find the probability of making a type II error if the true
population proportion is 17%.
b) For the test she set up, find the probability of making an error (of the appropriate
type) if the true population proportion is 18%.

c) For the test she set up, find the probability of making a correct inference if the true
population proportion is 21%.

d) What is the significance level she used to set up the test?
e)The researcher found that 22.5% of the sample plan to transfer to Sac State. What
can she conclude at the significance level you found in part (d)?

Answer 1

ANSWER::

a)

b)

c)

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