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.

the answer is ! ?

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

-1   1/6.   you dont subtract the denominators

step-by-step explanation: