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 US Centers for Disease Control and Prevention (CDC) estimated that approximately 3% of infected patients in the United States between the ages of 55 and 64 had died. This figure is known as the mortality rate of the virus for this age group. Suppose a sample of 1120 infected patients in the United States between the ages of 55 and 64 were randomly selected and 34 of the patients were known to have died. Use the p-value method to determine if the sample data support the conclusion that the mortality rate of patients between the ages of 55 and 64 is greater than 3%. Let α=0.01 State the null and alternative hypothesis for this test. H0= H1= 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. The sample data provide sufficient evidence to reject the claim that the mortality rate for infected patients between the ages of 55 and 64 is higher than 3% (alternative hypothesis) and thus we concluded that mortality rate of infected patients between the ages of 55 and 64 is likely 3%. The sample data do not provide sufficient evidence to reject the early reports from the CDC that the mortality rate for infected patients between the ages of 55 and 64 is 3% (null hypothesis) and thus we conclude that the infection rate for infected patients between the ages of 55 and 64 is likely 3%. The sample data do not provide sufficient evidence to reject the claim that the mortality rate for infected patients between the ages of 55 and 64 is higher than 3% (alternative hypothesis) and thus we concluded that mortality rate of infected patients between the ages of 55 and 64 is likely greater than 3%. The sample data provide sufficient evidence to reject the early reports from the CDC that the mortality rate for infected patients between the ages of 55 and 64 is 3% (null hypothesis) and thus we conclude that the infection rate for infected patients between the ages of 55 and 64 is likely greater than 3%

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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 US Centers for Disease Control and Prevention (CDC) estimated that approximately 3% of infected patients in the United States between the ages of 55 and 64 had died. This figure is known as the mortality rate of the virus for this age group.

Suppose a sample of 1120 infected patients in the United States between the ages of 55 and 64 were randomly selected and 34 of the patients were known to have died.

Use the p-value method to determine if the sample data support the conclusion that the mortality rate of patients between the ages of 55 and 64 is greater than 3%. Let α=0.01

State the null and alternative hypothesis for this test.

H0=

H1=

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.

  • The sample data provide sufficient evidence to reject the claim that the mortality rate for infected patients between the ages of 55 and 64 is higher than 3% (alternative hypothesis) and thus we concluded that mortality rate of infected patients between the ages of 55 and 64 is likely 3%.
  • The sample data do not provide sufficient evidence to reject the early reports from the CDC that the mortality rate for infected patients between the ages of 55 and 64 is 3% (null hypothesis) and thus we conclude that the infection rate for infected patients between the ages of 55 and 64 is likely 3%.
  • The sample data do not provide sufficient evidence to reject the claim that the mortality rate for infected patients between the ages of 55 and 64 is higher than 3% (alternative hypothesis) and thus we concluded that mortality rate of infected patients between the ages of 55 and 64 is likely greater than 3%.
  • The sample data provide sufficient evidence to reject the early reports from the CDC that the mortality rate for infected patients between the ages of 55 and 64 is 3% (null hypothesis) and thus we conclude that the infection rate for infected patients between the ages of 55 and 64 is likely greater than 3%.

 

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