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Before a beach is declared safe for swimming a test of the

Question: 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?

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