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 10.2% of infected patients in the United States between the ages of 65 and 84 had died. This figure is known as the mortality rate of the virus for this age group. Suppose a sample of 1360 infected patients the United States between the ages of 65 and 84 were randomly selected and 140 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 65 and 84 is greater than 10.2%. Use a significance level of 2.5%. 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. Oleft-tailed Oright-tailed Otwo-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test? The standard normal (2) distribution should be used 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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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#31). Need help with test statistic and p-value.
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
10.2% of infected patients in the United States between the ages of 65 and 84 had died. This figure is
known as the mortality rate of the virus for this age group.
Suppose a sample of 1360 infected patients the United States between the ages of 65 and 84 were
randomly selected and 140 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 65 and 84 is greater than 10.2%. Use a significance level of 2.5%.
State the null and alternative hypothesis for this test.
Ho: ? V
H₁: ? ✓
Determine if this test is left-tailed, right-tailed, or two-tailed.
Oleft-tailed
Oright-tailed
Otwo-tailed
Should the standard normal (2) distribution or Student's (t) distribution be used for this test?
The standard normal (2) distribution should be used
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 US Centers for Disease Control and Prevention (CDC) estimated that approximately 10.2% of infected patients in the United States between the ages of 65 and 84 had died. This figure is known as the mortality rate of the virus for this age group. Suppose a sample of 1360 infected patients the United States between the ages of 65 and 84 were randomly selected and 140 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 65 and 84 is greater than 10.2%. Use a significance level of 2.5%. State the null and alternative hypothesis for this test. Ho: ? V H₁: ? ✓ Determine if this test is left-tailed, right-tailed, or two-tailed. Oleft-tailed Oright-tailed Otwo-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test? The standard normal (2) distribution should be used 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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