A clinical trial involved treating flu patients with Tamiflu, which is a medicine intended to attack the influenza virus and stop it from causing flu symptoms. Among 724 patients treated with Tamiflu, 72 experienced nausea as an adverse reaction. Use a 0.05 significance level to test the claim that the rate of nausea is greater than the 6% rate experienced by flu patients given a placebo.
Can you explain the steps? Please and Thank You!!!
Can you explain the steps? Please and Thank You!!!
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H0: π ≥ 0.06
H0: π < 0.06, α = 0.05
n = 724
phat = 72/724 = 0.1
q = 1 - 0.1 = 0.9
σphat = sqrt(0.1*0.9/724) = 0.0111494122
Decision Rule:
If (0.1 - 0.06)/0.0111494122 < - Z(0.05), we reject H0.
If 3.59 ≮ - 1.645, we don't Reject H0.
Conclusion:
The rate of nausea is greater than the 6% rate experienced by flu patients given a placebo.
H0: π < 0.06, α = 0.05
n = 724
phat = 72/724 = 0.1
q = 1 - 0.1 = 0.9
σphat = sqrt(0.1*0.9/724) = 0.0111494122
Decision Rule:
If (0.1 - 0.06)/0.0111494122 < - Z(0.05), we reject H0.
If 3.59 ≮ - 1.645, we don't Reject H0.
Conclusion:
The rate of nausea is greater than the 6% rate experienced by flu patients given a placebo.