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 4338 patients treated with the​ drug,141 developed the adverse reaction of nausea. Construct a 90​% confidence interval for the proportion of adverse reactions.

In a random sample of 250 students who enrolled in Science, 150 took notes duringclasses. Find an approximate 95% confidence interval for the population proportion of students who takes notes in their Science classes.

A Gallup poll of 1487 adults showed that 43% of the respondents have Facebook pages.  Construct a 95% confidence interval for the proportion of adults who have a Facebook page.

A recent study of high school students shows the percentage of females and males who have an after-school job. A simple random sample of high school students was interviewed. The students were asked whether they worked after school. Of the 250 females, 58 answered yes, as did 113 of the 380 males. Part A: Construct and interpret a 95% confidence interval for the difference in population proportions of females and males who have an after-school job. Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). Part B: Does your interval from part A give convincing evidence of a difference between the population proportions? Explain.