Testing for food safety . A food safety inspector is called upon to investigate

Question

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.

(a) Write the hypotheses in words.

(b) What is a Type 1 error in this context?

(c) What is a Type 2 error in this context?

(d) Which error is more problematic for the restaurant owner? Why?

(e) Which error is more problematic for the diners? Why?

(f) 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.

Explanation / Answer

a. H0: Regulations are met vs H1: Regulations are not met

b. In statistical hypothesis testing, a type I error is the incorrect rejection of a true null hypothesis (a "false positive"), while a type II error is incorrectly retaining a false null hypothesis (a "false negative").

Here Type I error is Regulations are met but still license to serve food is revoked as we have concluded that Regulations are not met

c. Type 2 error is Regulations are not met but still license to serve food is not revoked s we have concluded that Regulations are met

d. Type I error because even though he maintain all the regulation his license will be revoked

c. Type 2 error because regulations are not maintained and license not revoked this will result in poor sanitation and have bad affect on health

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.