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    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 Preview

    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 ...

    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.

    $2.19

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