Suppose you work for a pharmaceutical company that is testing a new drug to trea

Question

Suppose you work for a pharmaceutical company that is testing a new drug to treat ulcerative colitis. You conduct a random sample of 34 patients on the new drug and 13 of them indicated a decrease in symptoms since starting the drug regimen. You construct a 90% confidence interval for this proportion to be (0.2457, 0.519). What is the correct interpretation of this confidence interval? (a) We are certain that 90% of patients will be between 0.2457 and 0.519. (b) We cannot determine the proper interpretation of this interval. (c) We are 90% confident that the proportion of patients surveyed that have experienced a reduction in symptoms is between 0.2457 and 0.519. (d) We are 90% confident that the proportion of all patients on the drug regimen that have experienced a reduction in symptoms is between 0.2457 and 0.519. (e) We are 90% confident that the proportion of patients who should be on this drug is between 0.2457 and 0.519.

Explanation / Answer

Here,

Our parameter of interest is the true proportion of all patients in the drug regimen that have experienced a reduction in symptoms so this constructed confidence interval will contain the proportion of the same.

Hence,

Option d is correct.

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