Question 1115607: 2. N Hill et al conducted a clinical study to compare the standard treatment for head lice infestation with the Bug Buster kit, which involves combing the hair four times per day. The researchers published their findings in the paper, “Single Blind, Randomized, Comparative Study of the Bug Buster Kit and over the counter..(blah blah)... in the treatment of head lice in the United Kingdom. “ For the study, 56 patients were assigned the Bug Buster treatment kit and 70 were assigned a standard treatment (which involves really bad-smelling shampoo). Thirty-two of the Bug Buster patients were cured and 30 in the regular treatment group were cured. Do the data provide sufficient evidence to conclude that a difference exists in the cure rates of the two types of treatments?
2b. Which treatment would you recommend based on its success rate? Does the data support your choice? (eg compute a confidence interval or conduct a different type of hypothesis test)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! N Hill et al conducted a clinical study to compare the standard treatment for head lice infestation with the Bug Buster kit, which involves combing the hair four times per day. The researchers published their findings in the paper, “Single Blind, Randomized, Comparative Study of the Bug Buster Kit and over the counter..(blah blah)... in the treatment of head lice in the United Kingdom. “
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For the study, 56 patients were assigned the Bug Buster treatment kit and 70 were assigned a standard treatment (which involves really bad-smelling shampoo). Thirty-two of the Bug Buster patients were cured and 30 in the regular treatment group were cured. Do the data provide sufficient evidence to conclude that a difference exists in the cure rates of the two types of treatments?
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Ho: pb-pr = 0
Ha: pb-pr # 0 (claim)
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sample difference:: 32/56 - 30/70 = 0.1429
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z(0.1429) = 0.1429/sqrt[(32/56)(24/56)/56]+[(3/7)(4/7)/70] = 0.0696
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p-value = 2*p(z > 0.0696) = 0.9445
Since the p-value is so large fail to reject Ho.
2b. Which treatment would you recommend based on its success rate? Does the data support your choice? (eg compute a confidence interval or conduct a different type of hypothesis test)
Bug Buster is slightly better because pb-pr is positive, but BB is not statistically better.
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Cheers,
Stan H.
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