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Powerful ways of preventing ADHD What affects the power of a test PROBLEM: 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 H0 : p = 0.11 Ha : 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 ? = 0.05 is 0.937. Determine whether each of the following changes would increase or decrease the power of the test. Explain your answers. (a) Use ? = 0.10 instead of ? = 0.05 (b) If the true proportion is p = 0.08 instead of p = 0.05 (c) Use n = 500 instead of n = 200

          Powerful ways of preventing ADHD
What affects the power of a test
PROBLEM:
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
H0 : p = 0.11
Ha : 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 ? = 0.05 is 0.937.
Determine whether each of the following changes would increase or decrease the power of the test. Explain your answers.
(a) Use ? = 0.10 instead of ? = 0.05
(b) If the true proportion is p = 0.08 instead of p = 0.05
(c) Use n = 500 instead of n = 200

Powerful ways of preventing ADHD
What affects the power of a test
PROBLEM:
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
H0 : p = 0.11
Ha : 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 ? = 0.05 is 0.937.
Determine whether each of the following changes would increase or decrease the power of the test. Explain your answers.
(a) Use ? = 0.10 instead of ? = 0.05
(b) If the true proportion is p = 0.08 instead of p = 0.05
(c) Use n = 500 instead of n = 200

Added by James C.

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