A survey of 100 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

65 of the 100 students responded? "yes." An approximate 98?% confidence interval is ?(0.539?,0.761?).

Complete parts a through d below.

a) How would the confidence interval change if the confidence level had been 95% instead of 98%? The new confidence interval would be The new confidence interval would be (Round to three decimal places as needed.) b) How would the confidence interval change if the sample size had been 150 instead of 100? (Assume the same sample proportion.) The new confidence interval would be The new confidence interval would be (Round to three decimal places as needed.) c) How would the confidence interval change if the confidence level had been 99% instead of 98%? The new confidence interval would be The new confidence interval would be (Round to three decimal places as needed.) d) How large would the sample size have to be to make the margin of error one third as big in the 98% confidence interval? The new sample size would have to be