The Business College Computing Center Wants to Determine the Proportion $$\alpha = .01$$

question 21

Multiple Choice

The business college computing center wants to determine the proportion of business students who have laptop computers. If the proportion exceeds 25%, then the lab will scale back a proposed enlargement of its facilities. Suppose 200 business students were randomly sampled and 65 have laptops. Find the rejection region for the corresponding test using $$\alpha = .01$$

• A) Reject \(H _ { 0 }\) if \(z = 2.33\).
• B) Reject \(H _ { 0 }\) if \(z < - 2.33\).
• C) Reject \(H _ { 0 }\) if \(z > 2.575\) or \(z < - 2.575\).
• D) Reject \(H _ { 0 }\) if \(z > 2.33\).

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Definitions:

Invalid Argument

An argument whose conclusions do not logically follow from its premises, making it unsound or flawed in its reasoning.

Descriptive Premise

A premise that is based on empirical facts.

Argument

A set of statements or reasons made to support or oppose a proposition.

Rhetoric

The defense of a particular position usually without adequate consideration of opposing evidence in order to win people over to one’s position.