A type of vaccine is used to control covid-19 pandemic in an area. The probability with which this vaccine prevent the virus is 0.75. A new vaccine is developed and claimed that performs better than the old one. An experiment is to be conducted in which 500 randomly selected people are vaccinated with the new vaccine. The experiment will reject the null hypothesis if the new vaccine can keep away 410 or more people State null and alternative hypothesis. What is the type i eror of the proposed test? If in fact the success rate of the new vaccine is 0.85, what is the power of the test?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A type of vaccine is used to control covid-19 pandemic in an area The probability with which this vaccine prevent the virus is 0,75. A new vaccine is developed and
claimed that performs better than the old one. An experiment is to be conducted in which 500 randomly selected people are vaccinated with the new vaccine. The
experiment will reject the null hypothesis if the new vaccine can keep away 410 or more people
State null and alternative hypothesis
What is the type i error of the proposed test?
If in fact the success rate of the new vaccine is 0.05, what is the power of the test?
Transcribed Image Text:A type of vaccine is used to control covid-19 pandemic in an area The probability with which this vaccine prevent the virus is 0,75. A new vaccine is developed and claimed that performs better than the old one. An experiment is to be conducted in which 500 randomly selected people are vaccinated with the new vaccine. The experiment will reject the null hypothesis if the new vaccine can keep away 410 or more people State null and alternative hypothesis What is the type i error of the proposed test? If in fact the success rate of the new vaccine is 0.05, what is the power of the test?
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