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Sexually Transmitted Disease Suppose a clinical trial is conducted to test the efficacy of a new drug, spectinomycin, for treating gonorrhea in females. Sixty-seven patients

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Sexually Transmitted Disease Suppose a clinical trial is conducted to test the efficacy of a new drug, spectinomycin, for treating gonorrhea in females. Sixty-seven patients are given a 4-g daily dose of a drug and are seen 1 week later, at which time 9 of the patients still have gonorrhea. 1. What is the best point estimate for p, the probability of failure with the drug? 2. What is a 95% CI for p? Pharmacology Suppose we want to estimate the concentration (ug/mL) of a specific dose of ampicillin in the urine after va- rious periods of time. We recruit 20 volunteers who have received ampicillin and find they have a mean con- centration of 6.0 ug/ml with a standard deviation of 2.5 pg/mL. Assume the underlying population dis- tribution of concentrations is normally distributed. 3. Find a 95% CI for the population mean concentration. 4. Find a 99% CI for the population variance of the concentrations. 5. How large a sample would be needed to ensure that the length of the CI in Problem 3 is 0.5 pg/mL if we assume the sample standard deviation remains at 2.5 pg/mL

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