A recent study by the Center for Disease Control claims that a new super-contagious virus will impact a population in which it is found if left unchecked. A recent occurrence of this virus happened on an very isolated island nation with over 30,000 inhabitants. In randomly testing 400 residents of this island after the virus outbreak, a research team found 330 tested positive for having been infected by the virus.
The CDC claims that this virus tends to impact over 80% of any population in which it is found and left unchecked. The research wishes to use the island nation results to test the CDC claim. In establishing a statistical hypothesis testing of this situation, give the required null and alternative hypotheses for a test of the claim made by the CDC.
a) Describe the possible Type I error for this situation--make sure to state the error in terms of the percentage of a population infected by the virus.
b) Describe the possible Type II error for this situation--make sure to state make sure to state the error in terms of the percentage of a population infected by the virus.
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