In a clinical study, 4300 healthy subjects aged 18-49 were vaccinated with a vaccine against a seasonal illness. over a period of roughly 28 weeks, 30 of these subjects developed the illness. complete parts a through e below.

a. find the point estimate of the population proportion that were vaccinated with the vaccine but still developed the illness. the point estimate is nothing. (round to five decimal places asneeded.)b. find the standard error of this estimate. the standard error of this estimate is nothing. (round to five decimal places asneeded.)c. find the margin of error for a 95% confidence interval. the margin of error is nothing. (round to five decimal places asneeded.)d. construct the 95% confidence interval for the population proportion. interpret the interval. the 95% confidence interval for the population proportion is

What does the sign of the slope tell you about a line?

3women sell hats at a craft fair weekly. the money they make at the fair is split into categories. 9% goes to pay taxes. $55 goes to pay rent for the space they sell in. the rest is split between the women. if the group make $706 at the fair, how much does each women get paid once the money is divided

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?