In: Statistics and Probability
A study published in 2009 (Goldstein et al, 2009) asked a random selection of 499 adults from various regions in Israel to complete a survey about whether or not they read while using the toilet. The researchers conducted a test of Ho: pi = 0.5 versus Ha: pi ≠ 0.5 where pi is the proportion of adults who read while using the toilet.
The rejection region:
if phat <= 0.4632 or phat >= 0.5368 , reject H0
Here we need to find the probability that researcher incorrectly reject the true null hypothesis.
It is type I error. It must be equal to 0.10.
Here we need to calculate the power of the test. The rejetion region we need to use in of part a.
The power for n= 599:
That is power decreased for n=599.
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