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 42 of the 100 students responded "yes." An approximate 98% confidence interval is (0.305, 0.535).

Complete parts a through d below.

a) How would the confidence interval change if the confidence level had been 90% instead of

98%?

The new confidence interval would be narrower or wider.

The new confidence interval would be _ , _

(Round to three decimal places as needed.)Part 2b) How would the confidence interval change

Part B) if the sample size had been 225 instead of 100?

(Assume the same sample proportion.)

The new confidence interval would be narrower or wider

The new confidence interval would be _ , _.

(Round to three decimal places as needed.)

Part 3c) How would the confidence interval change if the confidence level had been 99% instead of 98%?

The new confidence interval would be wider or narrower

The new confidence interval would be _ , _

(Round to three decimal places as needed.)

Part 4d) How large would the sample size have to be to make the margin of error onethird

as big in the 98% confidence interval?

The new sample size would have to be _.