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A rare disease is present in a proportion of a large population of individuals. (r is called the prevalence.) A previous large-scale study established to high accuracy that is 0.00019, and a new study is proposed to test whether has increased since. The study will randomly sample individuals from the population until one case of the disease is found. Assume a Geom0(r) data model for Y, a random variable that generates an observed number of negative tests, y, before the one positive test.

A rare disease is present in a proportion of a large population of individuals. (r is called the prevalence.) A previous large-scale study established to high accuracy that is 0.00019, and a new study is proposed to test whether has increased since. The study will randomly sample individuals from the population until one case of the disease is found. Assume a Geom0(r) data model for Y, a random variable that generates an observed number of negative tests, y, before the one positive test.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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A rare disease is present in a proportion of a large population of individuals. (r is called the prevalence.) A previous large-scale study established to high accuracy that is 0.00019, and a new study is proposed to test whether has increased since. The study will randomly sample individuals from the population until one case of the disease is found. Assume a Geom0(r) data model for Y, a random variable that generates an observed number of negative tests, y, before the one positive test.
Transcribed Image Text:A rare disease is present in a proportion of a large population of individuals. (r is called the prevalence.) A previous large-scale study established to high accuracy that is 0.00019, and a new study is proposed to test whether has increased since. The study will randomly sample individuals from the population until one case of the disease is found. Assume a Geom0(r) data model for Y, a random variable that generates an observed number of negative tests, y, before the one positive test.
Part h) What is the maximum value of e for a test with significance level no more than 5 percent? Enter your answer as an integer (round if necessary). ⠀ Parti) What is the actual significance level? Enter your answer to 5 decimal places. Part j) What is the power of the test of Ho versus H, when the alternative value of is 10 times the null value 0.00019. Enter your answer to 3 decimal places. ⠀ Part k) If y=924 is observed, what is the p-value? Enter your answer to 3 decimal places. Part I) With the same Ho and H as above, and still with significance level no greater than 5 percent, how could the power of the study be improved? OA. Decrease the p-value. OB. Keep testing until 5 positive tests have been found. OC. Decrease c. OD. Increase c.
Transcribed Image Text:Part h) What is the maximum value of e for a test with significance level no more than 5 percent? Enter your answer as an integer (round if necessary). ⠀ Parti) What is the actual significance level? Enter your answer to 5 decimal places. Part j) What is the power of the test of Ho versus H, when the alternative value of is 10 times the null value 0.00019. Enter your answer to 3 decimal places. ⠀ Part k) If y=924 is observed, what is the p-value? Enter your answer to 3 decimal places. Part I) With the same Ho and H as above, and still with significance level no greater than 5 percent, how could the power of the study be improved? OA. Decrease the p-value. OB. Keep testing until 5 positive tests have been found. OC. Decrease c. OD. Increase c.
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