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.
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
OxyContin is a drug used to treat pain, but it is well known for its addictiveness...
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