a. If the new drug testing were to be placed in a test of hypothesis framework, would the null hypothesis be that the drug is safe or unsafe? The alternative hypothesis? b. Given the choice of null and alternative hypotheses in part a, describe Type I and Type II errors in terms of this application. Define a and 3 in terms of this application. c. If the FDA wants to be very confident that the drug is safe before permitting it to be marketed, is it more important that a or å be small? Explain.

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.
Chapter10: Matrices
Section10.EA: Extended Application Contagion
Problem 2EA
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a. If the new drug testing were to be placed in
a test of hypothesis framework, would the
null hypothesis be that the drug is safe or
unsafe? The alternative hypothesis?
b. Given the choice of null and alternative
hypotheses in part a, describe Type I and
Type II errors in terms of this application.
Define a and ß in terms of this application.
c. If the FDA wants to be very confident that
the drug is safe before permitting it to be
marketed, is it more important that a or ß be
small? Explain.
Transcribed Image Text:a. If the new drug testing were to be placed in a test of hypothesis framework, would the null hypothesis be that the drug is safe or unsafe? The alternative hypothesis? b. Given the choice of null and alternative hypotheses in part a, describe Type I and Type II errors in terms of this application. Define a and ß in terms of this application. c. If the FDA wants to be very confident that the drug is safe before permitting it to be marketed, is it more important that a or ß be small? Explain.
+
I
7.15 FDA CERTIFICATION OF NEW DRUGS.
Pharmaceutical companies spend billions of dollars
per year on research and development of new drugs.
The pharmaceutical company must subject each new
drug to lengthy and involved testing before receiving
the necessary permission from the Food and Drug
Administration (FDA) to market the drug. The FDA's
policy is that the pharmaceutical company must
provide substantial evidence that a new drug is safe
prior to receiving FDA approval, so that the FDA can
confidently certify the safety of the drug to potential
consumers.
Transcribed Image Text:+ I 7.15 FDA CERTIFICATION OF NEW DRUGS. Pharmaceutical companies spend billions of dollars per year on research and development of new drugs. The pharmaceutical company must subject each new drug to lengthy and involved testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. The FDA's policy is that the pharmaceutical company must provide substantial evidence that a new drug is safe prior to receiving FDA approval, so that the FDA can confidently certify the safety of the drug to potential consumers.
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