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Hyperhidrosis is a stressful medical condition characterized by chronic excessiv

ID: 3221462 • Letter: H

Question

Hyperhidrosis is a stressful medical condition characterized by chronic excessive sweating. Primary hyperhidrosis is inherited and typically starts during adolescence. Botox was approved for treatment of hyperhidrosis in adults in 2004. A clinical trial examined the effectiveness of botox for excessive armpit sweating in teenagers aged 12 to 17 years. Participants received either a Botox injection or a placebo injection (a simple saline solution) and were examined four weeks later to see if their sweating had been reduced by 50% or more. Here are the study’s findings

a) Consider a test for the claim that the proportion of at least 50% reduction in Botox is as common as the Placebo treatment. Which of the following test can be used for the claim _________

A) Z test

B) GOG test

C) Contingency test

D) Both A) and C)

E) Both A) and B)

F) Both B and C)

G) All A) B) and C)

b) Perform the test for the claim. Do not use a statistical software and show your work, define Ho and Ha

Treatment Botox Placebo Total At Least 50% Reduction No 44 128 Total 104 212

Explanation / Answer

Solution:

a) C)Contingency test

b) Data model: Treatment (categorical): 2 levels ~ Response (categorical): 2 levels Ho: The proportion of at least 50% reduction in Botox is as common as the placebo treatment. Ha: The proportion of at least 50% reduction in Botox is not as common as the placebo treatment.

xs2=(OE)2/E = (8462.792)2/62.792 + (20 41 .208 )2/41 .208 + (44 65 .208 )2/65 .208 + (64 42 .792 )2/42 .792 = 35.486

df = (2-1)(2-1) = 1¼0.05= 3.84 < 35.486

P-value: p < 0.0005Conclusion: Reject Ho. The proportion of at least 50% reduction in Botox is not ascommon as the placebo treatment

EiTable Treatment Yes No Botox (128 * 104)/212 = 62.792 (104*84)/212= 41.208 Placebo (108*128)/212 = 65.208 (108*84)/212 = 42.792