Question

use the sample data and confidence level given below to complete parts (a) through (d).
a drug is used to help prevent blood clots in certain patients. in clinical trials, among 4628 patients treated with the drug, 153 developed the adverse reaction of nausea. construct a 95% confidence interval for the proportion of adverse reactions.
a) find the best point estimate of the population proportion p.
(round to three decimal places as needed.)

Explanation:

Step1: Recall the formula for point - estimate

The best point - estimate of the population proportion \(p\) is the sample proportion \(\hat{p}\). The formula for \(\hat{p}\) is \(\hat{p}=\frac{x}{n}\), where \(x\) is the number of successes (in this case, the number of patients with adverse reaction) and \(n\) is the sample size.

Step2: Substitute the values

Given \(x = 153\) and \(n=4628\). Then \(\hat{p}=\frac{153}{4628}\).

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Step3: Round the result

Rounding \(0.03306\) to three decimal places, we get \(0.033\).

Answer:

\(0.033\)