Question: Studies that compare treatments for a chronic conditions such as headaches can use same subjects for each treatment. With a crossover design, each person crosses over from using one treatment to another during the study. One such study considered a drug (a pill called Sumatriptan) for treating migraine headaches in a convenience sample of children. The study observed each of the 30 children at two times when she or she had a migraine headache. The child received the drug at one tiMeand a placebo at the other time. The order of treatment was randomized and the study was double blind. The order of treatment was randomized and the study was a double blind. For each child , the response was whether the drug or the placebo provided better pain relief. Let p denote the proportion of children having better pain relief with the drug, in the population of children who suffer periodically from migraine headaches. Can you conclude that p0.50, with more than half of the population getting better pain relief with the drug (i.e., the placebo doing better?) Of the 30 children, 22 had more pain relief with the drug and 8 had more pain relief with the drug and 8 more pain relief with the placebo.

a. For testing :p = 0.50 against Ha:p =:p.0.50, show the test statistic z=2.56

Z score- 2.556 p = .0106. There is a bell curve and there is

b. Show that the p-value is 0.0104

Z score= 39.03124139

P= 0

P=.7333333333

N=30

c. Check the assumptions needed for this test, and discuss the limitations due to using a convenience sample rather than a random sample