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 a very isolated island nation with over 500,000 inhabitants.In randomly testing 2500 residents of this island after the virus outbreak, a research team found 1560 tested positive for having been infected by the virus.The CDC claims that this virus tends to impact over 60% of any population in which it is found and left unchecked.The researchers wish 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.

Determine the appropriate critical value(s) for this situation given a 1% significance level.

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

Determine the P-value.

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

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 60%?Explain your reasoning.