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 4170 patients treated with the drug, 153 developed the adverse reaction of na proportion of adverse reactions. a) Find the best point estimate of the population proportion p. 0.037 (Round to three decimal places as needed.) b) Identify the value of the margin of error \( E \). E= (Round to three decimal places as needed.)

To find the best point estimate of the population proportion (p), we divide the number of patients who developed the adverse reaction by the total number of patients treated with the drug. a) The best point estimate of the population proportion p is calculated as follows: \[ p = \frac{153}{4170} \approx 0.0367. \] Rounding to three decimal places gives: **Best point estimate \( p = 0.037 \)**. Now for the margin of error (E): To compute the margin of error, we typically use the formula: \[ E = z \sqrt{\frac{p(1-p)}{n}} \] Where: - \( z \) is the z-value corresponding to the desired confidence level, - \( p \) is the sample proportion, and - \( n \) is the sample size. Assuming a common confidence level of 95%, the z-value is approximately 1.96. First, we need to calculate \( p(1-p) \): \[ p(1-p) = 0.037(1 - 0.037) = 0.037 \times 0.963 \approx 0.0356. \] Now substituting into the margin of error formula: \[ E = 1.96 \sqrt{\frac{0.0356}{4170}} \approx 1.96 \sqrt{0.000008530} \approx 1.96 \times 0.00292 \approx 0.00573. \] Rounding to three decimal places: **Margin of Error \( E \approx 0.006 \)**.