Question

Adult diabetes: A National Center for Health Statistics data brief states that in 2013 9% of US. adults aged 18 and over have diagnosed diabetes. Suppose that this year, we select a random sample of 100 adults. The conditions are not met for use of a normal model since the expected number of adults with diagnosed diabetes is only 9 (9% of 100). Therefore, we ran a simulation withp = 0.09. Suppose that the sample has 15 adults (or 15%) who have diagnosed diabetes. 35 out of 1,000 random samples have a sample proportion of 0.15 or higher. This is 3.5%. 0.16 0.22 0.12 0.14 0.18 0.20 0.00 0.02 0.04 0.06 0.08 0.10 15/100 15 %

Does the data suggest that the percentage of U.S. adults is higher than 9% this year? Villarroel MA, Vahratian A, Ward BW. (2015) Health Care Utilization Among U.S. Adults With Diagnosed Diabetes. National Center for Health Statistics http://www.cdc.gov/nchs/data/databriefs/db183.htm O No, because 3.5% of adults are diagnosed with diabetes this year, which is much lower than 9%. O No, because sample proportions of 15% or more are not unusual if the proportion of adults with diagnosed diabetes is 9%. Yes, because 15% of the sample of adults have diagnosed diabetes, which is higher than 9% Yes, because sample proportions of 15% or more are unusual, given the population proportion is 9%.

Answer 1

From the given information,

The correct answer is,

Yes, because sample proportions of 15% or more are unusual, given the population proportion is 9%>

Hence,

Last option is correct.

Thank you.