2. A new treatment for a certain type of cancer is tested on a group of patients

Question

2. A new treatment for a certain type of cancer is tested on a group of patients. Out of the group of40 patients,33 went into remission wit months of the beginning of the treatment. upon the results, find a 90% confidence interval for the proportion of all cancer patients who would go into remission within 6 months and interpret the interval 06 Ca_ ne.er eati " nh5 40 b. Based upon the results, find a 99% confidence interval for the proportion of all cancer patients who would go into remission within 6 months and interpret the interval. o, 2 S.IS ( 0, bao32 0.9717 I' 1 Confident that tte Pecenruse Now suppose that 330 out of 400 patients in a larger study went into remission within 6 months. Find a 90% confidence interval for the c. mean and interpret the interval.

Explanation / Answer

Here' a detailed answer. Don't forget to correct 40 to 400

c. Lets see the confidence level formula:

p +/- Z*Sqrt( p *p'/n) , where

p = population proportion = 330/400 = .825

p' = 1-p = .175

Z value at 90% confidence is 1.645 according to Z tables

Confidence interval for 90% confidence = .825 +/- 1.645*Sqrt( .825*.175/400)

Confidence interval is given by = 0.794 to 0.856

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