The owner of Get-A-Away Travel has recently surveyed a random sample of 444 customers to determine whether the mean age of the agency's customers is over 33 . The appropriate hypotheses are $H _ { 0 } : \mu = 33 , H _ { \mathrm { a } } : \mu 33$. If he concludes the mean age is over 33 when it is not, he makes a _______error. If he concludes the mean age is not over 33 when it is, he makes a ______error.
A) Type II; Type I
B) Type II; Type II
C) Type I; Type II
D) Type I; Type I

Question

The owner of Get-A-Away Travel has recently surveyed a random sample of 444 customers to determine whether the mean age of the agency's customers is over 33 . The appropriate hypotheses are $H _ { 0 } : \mu = 33 , H _ { \mathrm { a } } : \mu > 33$. If he concludes the mean age is over 33 when it is not, he makes a _______error. If he concludes the mean age is not over 33 when it is, he makes a ______error.
A) Type II; Type I
B) Type II; Type II
C) Type I; Type II
D) Type I; Type I

Quizplus · Accepted Answer

Concluding the mean age is over 33 when it is not is a Type I error (rejecting the null hypothesis when it is true). Concluding the mean age is not over 33 when it is, is a Type II error (failing to reject the null hypothesis when it is false).

The Owner of Get-A-Away Travel Has Recently Surveyed a Random H0:μ=33,Ha:μ>33H _ { 0 } : \mu = 33 , H _ { \mathrm { a } } : \mu > 33H0​:μ=33,Ha​:μ>33

The Owner of Get-A-Away Travel Has Recently Surveyed a Random $H _ { 0 } : \mu = 33 , H _ { \mathrm { a } } : \mu > 33$