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...

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Extracted 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?