4. A researcher was investigating the proportion of men with distant stage prost

Question

4. A researcher was investigating the proportion of men with distant stage prostate cancer (that is, cancer which originated in the prostate but has spread to distant lymph nodes, bones or other organs) who were alive five years after diagnosis. She collected data on 75 men and found that 40 of the 75 were alive five years after diagnosis. Construct a 95% confidence interval for the proportion of subjects with Stage IL111 NSCLC who are alive 5 years after diagnosis. Interpret the resulting interval

Explanation / Answer

Answer to the question is as follows:

So, p = x/n = 40/75 = .533

Z for 95% CI is 1.96

So, the 95% CI is been given as:

p +/- Z*sqrt(p*p'/n)

=.533 +/- 1.96*Sqrt(.533*.467/75)

=.4201 to .6459

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