Express the Null Hypothesis $\mathrm { H } _ { 0 }$

question 58

Multiple Choice

Express the null hypothesis $\mathrm { H } _ { 0 }$ and the alternative hypothesis $\mathrm { H } _ { 1 }$ in symbolic form. Use the correct symbol ( $\mu , \mathrm { p }$ , $\sigma$ ) for the indicated parameter.
-Carter Motor Company claims that its new sedan, the Libra, will average better than 30 miles per gallon in the city. Use $\mu$ , the true average mileage of the Libra.

• A) \(\begin{array}{l}
• \mathrm{H}_{0}: \mu=30 \\
• \mathrm{H}_{1}: \mu>30
• \end{array}\)
• B) \(\begin{array}{l}
• \mathrm{H}_{0}: \mu<30 \\
• \mathrm{H}_{1}: \mu \geq 30
• \end{array}\)
• C) \(\begin{array}{l}
• \mathrm{H}_{0}: \mu>30 \\
• \mathrm{H}_{1}: \mu \leq 30
• \end{array}\)
• D) \(\begin{array}{l}
• H_{0}: \mu=30 \\
• H_{1}: \mu<30
• \end{array}\)

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Definitions:

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Long Acting Antipsychotic

Medications designed to manage symptoms of psychiatric disorders, with effects that last for an extended period after administration.

Trust

Confidence in the reliability, truth, ability, or strength of someone or something, essential in forming healthy interpersonal relationships and therapeutic alliances.

Therapeutic Milieu

The use of an environment, including its people, setting, and structure, to provide therapy and facilitate healing.