Question

If the proportion of algae in a body of water exceeds 70%, then aquatic plant life will die. This, in turn, kills all of the fish. A researcher wants to know if a certain pond has enough algae to kill fish in it. In a sample of 100 lbs of water, he finds 85 lbs of algae. The researcher is interested in an alpha of .05.

1. How would you calculate an appropriate confidence interval (Using two sided, lower, or upper bounds)? How can it be used to test the hypothesis?

2. Find the power of the test when p = .76 and alpha = .05

3. How can you increase the power of the test? State every method and justify why each works.

Answer 1