Confidence Interval & Hypothesis Testing: Cure Rate
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A standard surgery was performed on 50 patients with severe sinus infection, and 36 were cured.
a) Find a 95% confidence interval for the population cure rate or proportion. =0.5955, 0.8445
b) Do these data indicate that the population cure rate or proportion is more than 70%? Do a hypothesis test. Use alpha=0.05.
z=0.309
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Solution Summary
The solution provides step by step method for the calculation of testing of hypothesis and confidence interval. Formula for the calculation and Interpretations of the results are also included.
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A standard surgery was performed on 50 patients with severe sinus infection, and 36 were cured.
Answers
a) Find a 95% confidence interval for the population cure rate or proportion.
=0.5955, 0.8445 (Correct answer)
Workings
95% Confidence Interval for proportion is given by
where p = x/n = 36/50 = 0.72, = 1.959963985, n = 50
= (0.5955, 0.8445)
Thus with 95% confidence we can claim that the proportion of cure rate is within (0.5955, 0.8445).
Details
Confidence Interval Estimate for the ...
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