A Contact Lens Wearer Read That the Producer of a New

question 9

Multiple Choice

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. The null hypothesis $H _ { 0 } : \mu _ { \text {old } } - \mu _ { \text {new } } = 0$ is tested against the alternative $H _ { A } : \mu _ { \text {old } } - \mu _ { \text {new } } > 0$ . Which of the following would be a Type II error?

• A) Deciding that the new lenses are cheaper, when in fact they really are.
• 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.
• D) Deciding that the new lenses are not really cheaper, when in fact they are not.
• E) It does not matter.

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Definitions:

Lord North

Frederick North, 2nd Earl of Guilford, known as Lord North, was the Prime Minister of Great Britain from 1770 to 1782 during a significant portion of the American Revolutionary War.

Townshend Duties

A series of British acts in the late 1760s imposing duties on the colonies for goods such as tea, glass, and paper, contributing to growing American discontent and the Revolutionary War.

Supremacy of Parliament

A doctrine in constitutional law that holds the legislative body as the supreme form of authority within the state, with its acts not subject to judicial review or challenge.

Committees of Correspondence

Groups formed in the American colonies to maintain communication with one another as they resisted British policy in the run-up to the American Revolution.