Problem: The parasite Leucochloridium infects the brain of snails by attaching to it during the larvae stage. Birds then eat infected snails and become infected themselves where the parasite can then reproduce. A biologist was interested in seeing if birds tended to eat more infected snails, so he collected 70 snails and set them on a plot where snail was exposed to avian predators. In 30 of the 70 trials, the biologist found that birds selected the snail with the parasites. Using this information, estimate the tests statistic and the 95% CI. Answer the following questions. Round the numbers to 2 decimal spaces. Do not add units to your answer.
a. Estimate the test-statistic, p-hat.
b. Estimate the 95% CI of p-hat (Wald Method).
c. Interpret the 95% Cl.