In the preceding alternate example, researchers were testing a new vitamin tablet that claims to lower a child's risk of developing attention deficit/hyperactivity disorder (ADHD).
They want to carry out a test of
H,:p=0.11
H:p<0.11
where p= the true proportion of all children like those in the study who would develop
ADHD when given the new vitamin tablet. Earlier, we mentioned that the power of the test
to detect p=0.05 using 200 subjects and a significance level of a =0.05 is 0.937.
Determine whether each of the following changes would increase or decrease the power of
the test. Explain your answers.