Suppose you perform a hypothesis test relating to environmental toxins in a thri

Question

Suppose you perform a hypothesis test relating to environmental toxins in a thriving small city in West Virginia. Environmental toxins are at a safe level if they are rated at a score of 10 or fewer. A score above 10 indicates an unsafe toxin level - a level at which doctors believe people will develop health problems, diseases, and early death. Most of the residents who live there work in coal mines and currently this is the only place left to do this type of work in the U.S. The workers have been doing this for generations and have few other skills. They are happy; they raise families there and the city used to be known as one of the best places to live and bring up children. Ho: Toxins less than or equal to 10 (Safe) Ha: Toxins are greater than 10 (Unsafe) Posting Assignment ----------------------- Discuss the risk to all interested parties in the scenario if you make a Type I error and if you make a Type II error

Explanation / Answer

Type 1 error refers to the situation when (Ho is rejected and when it is actually true).Hence the type 1 risk would be the probability of rejecting Ho i.e. saying that Toxins are greater than 10 (Unsafe) when they are actually less than or equal to 10 (Safe).

Type 2 error refers to the situation when (Ho is accepted given Ho is false)..Hence the type 2 risk would be the probability of accepting Ho i.e. saying that toxins are less than or equal to 10 (Safe) when they are actually greater than 10 (Unsafe)

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