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 23.9% of infected patients in the United States age 85 years and older had died. This figure is known as the mortality rate of the virus for this age group. Suppose a sample of 1140 infected patients in the United States age 85 years and older were randomly selected and 274 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 age 85 years and older is greater than 23.9%. Let α=0.02α=0.02. 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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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 23.9% of infected patients in the United States age 85 years and older had died. This figure is known as the mortality rate of the virus for this age group.

Suppose a sample of 1140 infected patients in the United States age 85 years and older were randomly selected and 274 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 age 85 years and older is greater than 23.9%. Let α=0.02α=0.02.

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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