A food safety inspector is called upon to investigate a restaurant with a few cu

Question

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 me. If he decides the restaurant is in gross violation, its license to serve food will be revoked, Write the hypotheses in words. What is a Type 1 Error in this context? What is a Type 2 Error in this context? Why? Which error is more problematic for the restaurant owner? Which error is more problematic for the diners? Why?

Explanation / Answer

(a) Hypotheses will be :

H0: Regulations are being met

Ha : Regulations are not being met

(b) Type 1 error : Rejecting null hypothesis when it is true

Here it will be when regulations are being met and food safety inspector finds them not being met.

(c) Type 2 error : Not rejecting null hypothesis when it is false

Here it will be when regulations are not being met and food safety inspector finds them being met

(d) type 1 error may create problem for restaurant owner as it may provoke his license although he is innocent

(e) type 2 error may create problems for diners as regulations are not met which may be dangerous to their health if type 2 error occurs.

TY!

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