Question: Assume that a hypothesis test of the given claim will be conducted. Identify the Type I or Type II error for the test.

a. An entomologist writes an article in a scientific journal which claims that fewer that 3 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Identify the Type I error.

b. A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a standard deviation different from the \({{\sigma }_{{}}}\) = 3.3 mg claimed by the manufacturer. Identify the Type II error for the test.