Question

A clean air standard requires that vehicles exhaust emissions not exceed specified limits for various pollutants. Many states require that cars be tested annually to be sure they meet these standards. Suppose state regulators double check a random sample of cars that a suspect repair shop has certified as okay. They will revoke the shop’s license if they find significant evidence that the shop is certifying vehicles that do not meet standards. If a hypothesis test were conducted, which type of error would the shop’s owner consider more serious, and why?

A. Type I Error. WHY? They would unjustifiably lose their certification, even though they are meeting the standards.

B. Type II Error: WHY? They would justifiably lose their certification, even though they are meeting the standards.

C. Type I Error: WHY? They would justifiably lose their certification, even though they are meeting the standards.

D. Neither Type I nor Type II error would the repair shop’s owner consider more serious.

Answer 1

according to question , the null and alternate hypoptheses are :

H0 : vehicles exhaust emissions exceed specified limits for various pollutants , against

Ha : vehicles exhaust emissions not exceed specified limits for various pollutants .

now, in this case , most serious type of error is type II error , because in this , we are accepting a false null hypothesis , when in fact reject true alternate hypothesis and conclude that ,

They would justifiably lose their certification, even though they are meeting the standards.

so option , (B) is correct

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