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An article in the British Medical Journal [“Comparison of Treatment of Renal Calculi by Operative Surgery, Percutaneous Nephrolithotomy, and Extra-Corporeal Shock Wave Lithotrips,” (1986, Vol. 292, pp. 879–882)] found that percutaneous nephrolithotomy (PN) had a success rate in removing kidney stones of 289 out of 350 patients. The traditional method was 78% effective.
(a) Is there evidence that the success rate for PN is greater than the historical success rate? Find the P-value.
(b) Explain how the question in part (a) could be answered with a confidence interval.

Respuesta :

The Success rate of (PN) had 82.57% which is greater than traditional method's success rate.

According to the statement

we have given that the percutaneous nephrolithotomy (PN) had a success rate in removing kidney stones of 289 out of 350 patients. And

The traditional method was 78% effective.

we have to show that the success rate for PN is greater than the historical success rate then

we use the percentage formula to find the success rate of the new method. So,

(a) Total patients = 350

Success rate in number of patient = 289

Percentage of success rate = (289/350)*100

Then after calculating

Percentage of success rate = 82.57%

It is clear that the outcome success rate is 82.57% which is greater than traditional method.

(b) we have a 95% confidence that the success rate of new method is higher than the older method from a confidence interval of 2.262 and 3.67

So, The Success rate of (PN) had 82.57% which is greater than traditional method's success rate.

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