Testing for food safety. A food safety inspector is called upon to investigate a restaurant with a few customer reports of poor sanitation practices. The food safety inspector uses a hypothesis testing framework to evaluate whether regulations are not being met. If he decides the restaurant is in gross violation, its license to serve food will be revoked.
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Write the hypotheses in words.
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What is a Type 1 Error in this context?
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What is a Type 2 Error in this context?
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Which error is more problematic for the restaurant owner? Why?
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Which error is more problematic for the diners? Why?
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As a diner, would you prefer that the food safety inspector requires strong evidence or very strong evidence of health concerns before revoking a restaurant’s license? Explain your reasoning.