Before a beach is declared safe for swimming, a test of the bacteria count in the water is conducted with the null and alternative hypotheses formulated as H0: Bacteria count is less than or equal to the specified upper limit for safety H1: Bacteria count is more than the specified upper limit for safety
a. What are type I and type II errors in this case?
b. Which error is more costly?
c. In the absence of any further information, which standard value will you recommend for α?