Question

Please Answer both of the 2 multi-part questions:

1. Starting on April 20, New York State conducted a statewide antibody study. They reported that 14.9% of those tested were positive for coronavirus antibodies. They tested a random

sample of 7,500 people around the state.

1a. How many people out of the 7500 tested positive?

1b. Find a 95% confidence interval for the proportion of New York State residents who

have coronavirus antibodies. Then write an interpretation of the confidence interval.

1c. Is it possible that 20% of the New York State population has coronavirus antibodies?

2. You look up a paper in the journal of Radiology to find out how long someone can be expected to be hospitalized when they are infected with COVID-19 Pneumonia. The journal

article says

“A total of 21 patients(6 males and 15 females) were included in the study. All patients were discharged after a mean hospitalized period of 17±4 days (range: 11-26 days).”

2a. What is the statistical term for the “4 days” in “17±4 days”?

2b. What was the study’s lower bound for the population mean hospitalized period?

2c. What was the study’s upper bound for the population mean hospitalized period?

2d. If their data had looked like this, what would be a 99% confidence interval for the population mean?

11 11 11 11 11 11 11 11 11

17 17 17 17 17 17

26 26 26 26 26 26

Answer 1