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A survey of 156 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 78 of the 156 students responded "yes." An approximate 95% confidence interval is (0.422, 0.578). Complete parts a through d below. a) How would the confidence interval change if the confidence level had been 90% instead of 95%? The new confidence interval would be narrower. 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 234 instead of 156? (Assume the same sample proportion.) The new confidence interval would be narrower. |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 98% instead of 95%? 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 95% confidence interval? The new sample size would have to be