QUESTION IMAGE
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 4829 patients treated with
the drug, 115 developed the adverse reaction of nausea. construct a 90% 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.)
Step1: Calculate the 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 with nausea) and $n$ is the sample size.
Here, $x = 115$ and $n=4829$.
So, $\hat{p}=\frac{115}{4829}$.
Step2: Compute the value
$\frac{115}{4829}\approx0.024$ (rounded to three decimal places).
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$0.024$