The zoologist wishes to test whether there is evidence that less than one-fourth of the sharks in the aquarium are diseased. A zoologist at a large metropolitan zoo is concerned about a potential new disease present among the 241 sharks living in the large aquarium at the zoo. The zoologist takes a random sample of 20 sharks from the aquarium, temporarily removes the sharks from the tank, and tests them for the disease. He finds that 4 of the sharks have the disease. 1. State the null and alternative hypotheses for this test.
a. the proportion of sharks with the disease is less than 0.25
b. the proportion of sharks with the disease is 0.50
c. the proportion of sharks with the disease is 0.25
Alternative answers:
a. the proportion of sharks with the disease is less than 0.25
b. the proportion of sharks with the disease is greater than 0.25
c. the proportion of sharks with the disease is less than 0.50
2. What is the value of the statistic? (Type your answer as a percent, but leave off the percent sign.) (the absolute tolerance is +/-0.02)