Express the Null Hypothesis and the Alternative Hypothesis in Symbolic $\begin{array}{l}\mathrm{H}_{0}: p \neq 0.62 \\\mathrm{H}_{1}: p=0.62\end{array}$

question 118

Multiple Choice

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (µ, p, ?) for the indicated parameter.
-A researcher claims that 62% of voters favor gun control.

• A)
• \(\begin{array}{l}
• \mathrm{H}_{0}: p \neq 0.62 \\
• \mathrm{H}_{1}: p=0.62
• \end{array}\)
• B)
• \(\begin{array}{l}
• \mathrm{H}_{0}: \mathrm{p}=0.62 \\
• \mathrm{H}_{1}: \mathrm{p} \neq 0.62
• \end{array}\)
• C)
• \(\begin{array}{l}
• \mathrm{H}_{0}: \mathrm{p} \geq 0.62 \\
• \mathrm{H}_{1}: \mathrm{p}<0.62
• \end{array}\)
• D)
• \(\begin{array}{l}
• \mathrm{H}_{0}: \mathrm{p}<0.62 \\
• \mathrm{H}_{1}: \mathrm{p} \geq 0.62
• \end{array}\)

Recognize the importance of the genus and differentia in creating definitions.

Identify and apply the rule against using negative terms unless defining inherently negative concepts.

Understand the concept of stipulative definitions and their role in defining terms.

Assess and correct definitions that violate clarity and precision.

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Definitions:

Fifth Amendment

An amendment to the U.S. Constitution that protects individuals against self-incrimination, ensures due process of law, and provides other protections against government abuses.

Self-Incrimination

The act of implicating oneself in a crime, which is protected against by the Fifth Amendment in the United States Constitution.

Defense of Others

A legal justification for using reasonable force to protect another person from harm or danger.

Deadly Force

The use of force that is likely to result in serious bodily harm or death, often discussed in law enforcement and self-defense contexts.