Question

in a trial of 200 patients who received 10 - mg doses of a drug daily, 42 reported headache as a side effect. obtain a point estimate for the population proportion of patients who received 10 - mg doses of a drug daily and reported headache as a side effect.
\\( \hat { p } = \square \\) (round to two decimal places as needed )

Explanation:

Step1: Recall the formula for sample proportion

The formula for the sample proportion \(\hat{p}\) is \(\hat{p}=\frac{x}{n}\), where \(x\) is the number of successes (in this case, the number of patients who reported headache) and \(n\) is the sample size.

Step2: Identify the values of \(x\) and \(n\)

Here, \(x = 42\) (patients with headache) and \(n=200\) (total patients in the trial).

Step3: Calculate \(\hat{p}\)

Substitute \(x = 42\) and \(n = 200\) into the formula: \(\hat{p}=\frac{42}{200}\).

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Answer:

\(0.21\)