In a random sample of 40 cases there were 25 successes and 15 failures. We want to construct a 95% confidence interval to estimate the proportion of successes in the population. StatKey was used to construct a bootstrap sampling distribution using count = 25 and sample size = 40. The bootstrap distribution was approximately normal with a standard deviation of 0.076 Construct a 95% confidence interval to estimate the proportion of successes in the population using the standard error method. [0.587, 0.663] [0.549, 0.701] [0.473, 0.777] [0.397, 0.853]