Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood c
lots in certain patients. In clinical trials, among 4167 patients treated with the drug, 148 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. nothing (Round to three decimal places as needed.)
The sample proportion have the following distribution
Part a
The estimated proportion for this case can be calculated like this:
Part b
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by and . And the critical value would be given by:
The confidence interval for the mean is given by the following formula: