A Candidate for State Representative of a Certain State Claims $\mathrm { p } \geq 0.5$

question 35

Multiple Choice

A candidate for state representative of a certain state claims to be favored by at least half of the voters. If ahypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

• A) There is sufficient evidence to reject the claim \(\mathrm { p } \geq 0.5\).
• B) There is not sufficient evidence to reject the claim \(p \geq 0.5\).
• C) There is sufficient evidence to support the claim \(p \geq 0.5\).
• D) There is not sufficient evidence to support the claim \(p \geq 0.5\).

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Definitions:

Main Connective

In logic, the operator (such as AND, OR, NOT) that determines the overall value of a compound statement, linking its constituent parts together.

Atomic Statements

Expressions in logic that cannot be broken down into simpler statements and are used as the basic building blocks of logical expressions.

Main Connective

The principal operator in a compound logical expression, determining the overall outcome of the expression.

Atomic Statements

Simple statements that cannot be broken down into smaller statements without changing their meaning.