Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 5916 patients treated with this drug, 166 developed the adverse reaction of nausea. Use a 0.05 significance level to test the claim that 3% of users developed nausea. Does nausea appear to be problematic adverse reaction? Identify the null and alternative hypotheses, test statistics, P-value and state the final conclusion that addresses the original claim.
Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 5916 patients treated with this drug, 166 developed the adverse reaction of nausea. Use a 0.05 significance level to test the claim that 3% of users developed nausea. Does nausea appear to be problematic adverse reaction?
Identify the null and alternative hypotheses, test statistics, P-value and state the final conclusion that addresses the original claim.
From the provided information,
Sample size of patients (n) = 5916
166 developed the adverse reaction of nausea that is x = 116
Level of significance = 0.01
Population proportion (p) = 0.03
The hypotheses can be constructed as:
H0: p = 0.03
H1: p ≠ 0.03
The sample proportion can be obtained as,
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