A sample of 200 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The result of the survey is that 70 of the 200 students responded “yes.” You construct an approximate 95% confidence interval for the true proportion p by taking plus/minus two SEs from the sample proportion and obtain (0.283, 0.417). Which of the following are true? If a statement is not true, explain briefly why not.

a) 95% of the 200 students are in the interval (0.283, 0.417).

b) The true proportion of students who use laptops to take notes is captured in the interval (0.283, 0.417) with probability 0.95.

c) There is a 35% chance that a student uses a laptop to take notes.

d) There is a 95% chance that the student uses a laptop to take notes 35% of the time.

e) We are 95% confident that the true proportion of students who use laptops to take notes is captured in the interval (0.283, 0.417).