In a simple random sample of 1600 young people, 85% had earned a high school diploma. Complete parts a through d below. a. What is the standard error for this estimate of the percentage of all young people who earned a high school diploma? O (Round to four decimal places as needed.) b. Find the margin of error, using a 95% confidence level, for estimating the percentage of all young people who earned a high school diploma. % (Round to one decimal place as needed.) c. Report the 95% confidence interval for the percentage of all young people who earned a high school diploma. ( %) (Round to one decimal place as needed.) d. Suppose that in the past, 80% of all young people earned high school diplomas. Does the confidence interval you found in part c support or refute the claim that the percentage of young people who earn high school diplomas has increased? Explain. OA. The interval does not support this claim. This is because 80% is in the interval. OB. The interval supports this claim. This is because 80% is in the interval. OC. The interval does not support this claim. This is because 80% is not in the interval, and all values are above 80%. OD. The interval supports this claim. This is because 80% is not in the interval, and all values are above 80%.