K 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 46 of the 100 students responded "yes." An approximate 98% confidence interval is (0.344, 0.576). 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. The new confidence interval would be (0.378, 0.542). (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 narrower. The new confidence interval would be (0.365, 0.555). (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 (Round to three decimal places as needed.) The new confidence interval would be