When the COVID-19 pandemic broke out in March 2020, one of the important parameters for planning how to respond to the crisis was the proportion of a country’s population that was infected with the virus. Because testing for the virus was only available for those who presented with severe symptoms (tests were in short supply), the proportion of those that tested positive for the virus was not a reliable estimate for the general population because many people that contracted the virus never showed any symptoms. In an effort to estimate this proportion, the country of Iceland was one of the first to obtain what could be treated as a representative sample. Between March 13 and March 21, 2020, a genetic lab in Iceland tested 5,571 people, of which only 48 tested positive.

a. Estimate the population proportion of infected people in Iceland around the time the testing took place.

b. Find the margin of error for a 95% confidence interval for this estimate.

c. Find a 95% confidence interval for that proportion and interpret.

d. The sample analyzed by the genetic lab included all people who wanted to be tested, i.e., a volunteer sample. State and check the assumptions needed for the interval in part c to be valid.

Answer rating: 100% (QA)

Solution a Population proportion XN where Xcount of success Nsize of population Calculation X48 N557... View the full answer