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A recent study by the Center for Disease Control claims that a new super-contagious virus will...

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.

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.

C.Determine the appropriate critical value(s) for this situation given a 5% significance level.

D. Determine/calculate the value of the sample's test statistic.

E. Determine the P-value.

F. Based upon your work above, should you "Reject the null hypothesis" or "Fail to reject the null hypothesis?" Explain why.

G. Based upon the work above (and assuming requirements of the hypothesis tests are met), is there statistically sufficient evidence in this sample to support the claim that the percentage of a population that will be infected by the virus if left unchecked will be over 80%? Explain your reasoning.

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