A contact lens wearer read that the producer of a new contact lens boasts that their lenses are
Cheaper than contact lenses from another popular company. She collected some data, then tested
The null hypothesis H0: µold µnew = 0 against the alternative HA: µold - µnew 0. Which of the
Following would be a Type II error?
A) Applying these results to all contact lenses, old and new.
B) Deciding that the new lenses are cheaper, when in fact they are not.
C) Deciding that the new lenses are not really cheaper, when in fact they are not.
D) Deciding that the new lenses are not really cheaper, when in fact they are.
E) Deciding that the new lenses are cheaper, when in fact they really are.

Question

A contact lens wearer read that the producer of a new contact lens boasts that their lenses are
Cheaper than contact lenses from another popular company. She collected some data, then tested
The null hypothesis H0: µold µnew = 0 against the alternative HA: µold - µnew > 0. Which of the
Following would be a Type II error?
A) Applying these results to all contact lenses, old and new.
B) Deciding that the new lenses are cheaper, when in fact they are not.
C) Deciding that the new lenses are not really cheaper, when in fact they are not.
D) Deciding that the new lenses are not really cheaper, when in fact they are.
E) Deciding that the new lenses are cheaper, when in fact they really are.

Quizplus · Accepted Answer

A Type II error occurs when the null hypothesis is not rejected when it is actually false. In this context, it means deciding that the new lenses are not really cheaper (failing to reject the null hypothesis), when in fact they are (the null hypothesis is false).

A Contact Lens Wearer Read That the Producer of a New