Question

OxyContin is a drug used to treat pain, but it is well known for its addictiveness and danger. In a clinical trial, among subjects treated with OxyContin, 52 developed nausea and 175 did not develop nausea. Among other subjects given placebos, 5 developed nausea and 40 did not develop nausea. Use a 0.05 significance level to test for a difference between the rates of nausea for those treated with OxyContin and those given a placebo. Use a hypothesis test.

Answer 1

Test and CI for Two Proportions

Method

p₁: proportion where Sample 1 = Nausea to OxyContin

p₂: proportion where Sample 2 = Nausea to Placebo

Difference: p₁ - p₂

Descriptive Statistics

Sample	N	Event	Sample p
Sample 1	227	52	0.229075
Sample 2	45	5	0.111111

Estimation for Difference

Null hypothesis	H₀: p₁ - p₂ = 0
Alternative hypothesis	H₁: p₁ - p₂ ≠ 0

Method	Z-Value	P-Value
Normal approximation	2.16	0.0305

P-value is less than 0.05. So, Reject Ho and we can conclude that the proportions are different