COVID-19 (novel corona virus) took the world by surprise in late 2019. By early 2020, nearly all countries worldwide were affected. Early reports from the U.S. Centers for Disease Control and Prevention (CDC) estimated that approximately 16% 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 that 10.6% of a recent sample of 529 infected individuals were found to be asymptomatic. Using a = 0.02, test the hypothesis that the proportion of all people infected with the corona virus and are asymptomatic is different than 16%. Use the p-value method. State the null and alternative hypothesis for this test. Ho:? H1: ? Determine if this test is left-tailed, right-tailed, or two-tailed. O left-tailed O two-tailed O right-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? O The standard normal (z) distribution should be used O The Student's t distribution should be used Determine the test statistic for the hypothesis test. Round the solution to two decimal places. Determine the p-value for the hypothesis test. Round the solution to four decimal places.

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COVID-19 (novel corona virus) took the world by surprise in late 2019. By early 2020, nearly all countries
worldwide were affected.
Early reports from the U.S. Centers for Disease Control and Prevention (CDC) estimated that approximately
16% 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 that 10.6% of a recent sample of 529 infected individuals were found to be asymptomatic.
Using a = 0.02, test the hypothesis that the proportion of all people infected with the corona virus and
are asymptomatic is different than 16%. Use the p-value method.
State the null and alternative hypothesis for this test.
Ho:? v
H1: ? v
Determine if this test is left-tailed, right-tailed, or two-tailed.
O left-tailed
O two-tailed
Oright-tailed
Should the standard normal (z) distribution or Student's (t) distribution be used for this test?
O The standard normal (z) distribution should be used
O The Student's t distribution should be used
Determine the test statistic for the hypothesis test. Round the solution to two decimal places.
Determine the p-value for the hypothesis test. Round the solution to four decimal places.
Transcribed Image Text:COVID-19 (novel corona virus) took the world by surprise in late 2019. By early 2020, nearly all countries worldwide were affected. Early reports from the U.S. Centers for Disease Control and Prevention (CDC) estimated that approximately 16% 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 that 10.6% of a recent sample of 529 infected individuals were found to be asymptomatic. Using a = 0.02, test the hypothesis that the proportion of all people infected with the corona virus and are asymptomatic is different than 16%. Use the p-value method. State the null and alternative hypothesis for this test. Ho:? v H1: ? v Determine if this test is left-tailed, right-tailed, or two-tailed. O left-tailed O two-tailed Oright-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? O The standard normal (z) distribution should be used O The Student's t distribution should be used Determine the test statistic for the hypothesis test. Round the solution to two decimal places. Determine the p-value for the hypothesis test. Round the solution to four decimal places.
Determine if this test is left-tailed, right-tailed, or two-tailed.
O left-tailed
O two-tailed
Oright-tailed
Should the standard normal (z) distribution or Student's (t) distribution be used for this test?
O The standard normal (2) distribution should be used
O The Student's t distribution should be used
Determine the test statistic for the hypothesis test. Round the solution to two decimal places.
Determine the p-value for the hypothesis test. Round the solution to four decimal places.
Determine the appropriate conclusion for this hypothesis test.
O The sample data provide sufficient evidence to reject the alternative hypothesis that the proportion
of all people who are infected with the corona virus and are asymptomatic is different than 0.16 and
thus we conclude that the proportion of people that are infected with corona virus and are
asymptomatic is likely equal to 0.16.
O The sample data provide sufficient evidence to reject the null hypothesis that the proportion of all
people infected with the corona virus and are asymptomatic is 0.16 and thus we conclude that the
proportion of people that are infected with corona virus and are asymptomatic is not equal to 0.16.
O The sample data do not provide sufficient evidence to reject the alternative hypothesis that the
proportion of all people who are infected with the corona virus and are asymptomatic is different
than 0.16 and thus we conclude that the proportion of people that are infected with corona virus and
are asymptomatic is likely not equal to 0.16.
O The sample data do not provide sufficient evidence to reject the null hypothesis that the proportion
of all people infected with the corona virus and are asymptomatic is 0.16 and thus we conclude that
the proportion of people that are infected with corona virus and are asymptomatic is likely equal to
0.16.
Transcribed Image Text:Determine if this test is left-tailed, right-tailed, or two-tailed. O left-tailed O two-tailed Oright-tailed Should the standard normal (z) distribution or Student's (t) distribution be used for this test? O The standard normal (2) distribution should be used O The Student's t distribution should be used Determine the test statistic for the hypothesis test. Round the solution to two decimal places. Determine the p-value for the hypothesis test. Round the solution to four decimal places. Determine the appropriate conclusion for this hypothesis test. O The sample data provide sufficient evidence to reject the alternative hypothesis that the proportion of all people who are infected with the corona virus and are asymptomatic is different than 0.16 and thus we conclude that the proportion of people that are infected with corona virus and are asymptomatic is likely equal to 0.16. O The sample data provide sufficient evidence to reject the null hypothesis that the proportion of all people infected with the corona virus and are asymptomatic is 0.16 and thus we conclude that the proportion of people that are infected with corona virus and are asymptomatic is not equal to 0.16. O The sample data do not provide sufficient evidence to reject the alternative hypothesis that the proportion of all people who are infected with the corona virus and are asymptomatic is different than 0.16 and thus we conclude that the proportion of people that are infected with corona virus and are asymptomatic is likely not equal to 0.16. O The sample data do not provide sufficient evidence to reject the null hypothesis that the proportion of all people infected with the corona virus and are asymptomatic is 0.16 and thus we conclude that the proportion of people that are infected with corona virus and are asymptomatic is likely equal to 0.16.
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