Use the Following Information for the Question $\mathrm { F } = 5.21104034$

question 32

Multiple Choice

Use the following information for the question. Researchers conducted a study that examined marital status and stress levels.
A hypothesis test was conducted to test the claim that people with different marital statuses have a different mean stress
level. The TI-84 output for the test is shown below. One-way ANOVA
$\mathrm { F } = 5.21104034$
$P = .0105994136$
Factor
$\mathrm { df } = 3$
$\mathrm { SS } = 76.7$
$\mathrm { MS } = 25.5666667$
-State the null and alternative hypothesis.

• A) \(\mathrm { H } _ { 0 }\) : Marital status and stress levels are associated.
• \(\mathrm { H } _ { \mathrm { a } }\) : Marital status and stress levels are not associated.
• B) \(\mathrm { H } _ { 0 }\) : There is no difference in the mean stress levels of married and unmarried people. \(\mathrm { H } _ { \mathrm { a } }\) : There is a difference in the mean stress levels of married and unmarried people.
• C) \(\mathrm { H } _ { 0 }\) : Marital status and stress levels are not associated.
• \(\mathrm { H } _ { \mathrm { a } }\) : Mean stress levels of married people are greater than the mean stress levels of unmarried people.
• D) \(\mathrm { H } _ { 0 }\) : Marital status and stress levels are not associated.
• \(\mathrm { H } _ { \mathrm { a } }\) : Marital status and stress levels are associated.

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Definitions:

Sensitive Social Topics

Subjects or issues that are delicate and potentially contentious within society, often requiring careful discussion due to differing beliefs and values.

Personal Beliefs

Individual convictions or acceptances that something is true or exists, often based on personal faith, culture, or experience rather than empirical evidence.

Domestic Violence

A pattern of abusive behavior in any relationship that is used by one partner to gain or maintain control over another intimate partner.

Clinical Research

The branch of healthcare science that determines the safety and effectiveness of medications, devices, diagnostic products, and treatment regimens intended for human use.