Question

Suppose a public health authority in Brazil is concerned about a mosquito-borne virus. It closes a major public park until it is proven, at a one percent significance level, that LESS THAN three percent of mosquitoes in the park carry the virus. It plans to test a random sample of 1250 mosquitoes. What is the unstandardized critical value (the edge of the rejection region)? In other words, how small of a fraction of virus-carrying mosquitoes would need to be in the random sample to reopen the park given the desired one percent significance level? (Answer as a proportion, not a percent. Record your answer accurate to at least the nearest THIRD decimal place with standard rounding.)

Answer 1

Here, 0.019 is the fraction of virus-carrying mosquitoes that would need to be in the random sample to reopen the park, given the desired 1% significance level.