COVID-19 (novel corona virus) took the world by surprise in late 2019. By early 2020, nearly all countries worldwide were affected. Early reports have claimed that a large percentage of those infected with the corona virus were asymptomatic (showed no symptoms of the virus). The rate of asymptomatic infections is important, since such people can unwittingly spread the virus to those around them. Suppose the U.S. Centers for Disease Control and Prevention (CDC) needs to estimate the proportion of the infected population that is also asymptomatic. A random sample of 1500 infected patients is examined and 382 are observed to be asymptomatic. Determine the point estimate, ˆp and the sample standard deviation, sˆp. Round the sample proportion to four decimal places and round the standard deviation to six decimal places, if necessary. ˆp= sˆp= Using a 95% confidence level, determine the margin of error, E, and a confidence interval for the proportion of all patients who are infected with the corona virus and are also asymptomatic. Report the confidence interval using interval notation. Round solutions to four decimal places, if necessary. The margin of error is given by E=. A 95% confidence interval is given by
COVID-19 (novel corona virus) took the world by surprise in late 2019. By early 2020, nearly all countries worldwide were affected.
Early reports have claimed that a large percentage of those infected with the corona virus were asymptomatic (showed no symptoms of the virus). The rate of asymptomatic infections is important, since such people can unwittingly spread the virus to those around them.
Suppose the U.S. Centers for Disease Control and Prevention (CDC) needs to estimate the proportion of the infected population that is also asymptomatic. A random sample of 1500 infected patients is examined and 382 are observed to be asymptomatic.
Determine the point estimate, ˆp and the sample standard deviation, sˆp. Round the sample proportion to four decimal places and round the standard deviation to six decimal places, if necessary.
ˆp=
sˆp=
Using a 95% confidence level, determine the margin of error, E, and a confidence interval for the proportion of all patients who are infected with the corona virus and are also asymptomatic. Report the confidence interval using interval notation. Round solutions to four decimal places, if necessary.
The margin of error is given by E=.
A 95% confidence interval is given by
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