Question

Exhibit 2

Current statistics show that, about 5% of the patients who are infected with the Novel Coronavirus are in serious or critical condition, and need ventilators and oxygen facilities. Suppose this is the population proportion. (The questions related to this Exhibit are designed so that you can see how statistical analyses can be used to fight against pandemics.)

Question 7

Refer to Exhibit 2. Assume that in the City of Gotham, in the first week of outbreak, 256 citizens are tested positive for COVID-19. At least how many ventilators should be prepared to meet the possible demand. (Round up to the nearest integer that is larger than the result.)

Question 8

Refer to Exhibit 2. Suppose the No. 1 district of the City of Gotham has 8100 residents living in it. If you were the head of the health department of the No. 1 district. To cope with the possible all-infection outbreak of COVID-19 in your district, you prepared 600 ventilators. Assuming in the worst case scenario, what is the probability that your prepared medical equipments are overwhelmed by the serious conditioned patients who are in need of the ventilators? (Round up to nearest four decimal place.)

Question 9

Refer to Exhibit 2. In the first week of out break, the total number of confirmed cases in the No. 1 district of Gotham is 96. Out of these 96 cases, no one has developed serious conditions yet. But you want to use the normal approximation method to estimate a probability that, from these 96 infected patients, more than 10 cases develop a serious condition. Are you able to do so? Why or why not? If yes, please provide the probability value you estimated. (In four decimal places.)

Question 10

Refer to Exhibit 2. In the second week, the total number of confirmed cases in the No. 1 district of Gotham increased to 196. You want to use this sample of 196 cases and the normal approximation method to estimate the probability that, from these 196 patients, more than 19 cases develop a serious condition. Are you able to do so? Why or why not? If yes, please provide the probability value you estimated. (In four decimal places.)

Question 11

Refer to Exhibit 2. Suppose that you are the head of the health department in the City of Zion. You DO NOT know the population proportion of seriously conditioned cases among the people who infected with the COVID-19. But now you have a sample of 625 cases who tested positive of COVID-19, out of these 625 patients, 28 developed serious conditions. What is your estimation of the proportion of seriously conditioned patients? (Round to the nearest four decimal place.)

Question 12

Refer to Exhibit 2. Continue from Question 11. Construct a 88% confidence interval (CI) for the proportion you estimated in Question 11. What is the Lower Confidence Limit of your CI? (Round to the nearest four decimal place.)

Question 13

Refer to Exhibit 2. Continue from Question 12. What is the Upper Confidence Limit of your CI? (Round to the nearest four decimal place.)

Answer 1