Determine the Null and Alternative Hypotheses for the Study That $\mathrm { H } _ { 0 }$

question 22

Multiple Choice

Determine the null and alternative hypotheses for the study that produced the data in the table.
-A car insurance company performed a study to determine whether an association exists between age and the frequency of car accidents. They obtained the following sample data.

• A) \(\mathrm { H } _ { 0 }\) : Number of accidents in the past three years and age group are independent. \(\mathrm { H } _ { \mathrm { a } }\) : Number of accidents in the past three years and age group are not related.
• B) \(\mathrm { H } _ { 0 }\) : Number of accidents in the past three years and age group are somehow related. \(\mathrm { H } _ { \mathrm { a } }\) : Number of accidents in the past three years and age group are not independent.
• C) \(\mathrm { H } _ { 0 }\) : Number of accidents in the past three years and age group are independent. \(\mathrm { H } _ { \mathrm { a } } :\) Number of accidents in the past three years and age group are somehow related.
• D) \(\mathrm { H } _ { 0 }\) : Number of accidents in the past three years and age group are somehow related. \(\mathrm { H } _ { \mathrm { a } }\) : Number of accidents in the past three years and age group are independent.

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Definitions:

Cutaneous Stimulation

Any interaction that causes a response from the skin, whether through touch, temperature changes, or pain.

Chronic Back Pain

Chronic Back Pain is persistent or recurrent pain in the lower or upper back, often lasting for three months or longer.

Pain Gate

A theory suggesting that the spinal cord contains a neurological "gate" that either blocks pain signals or allows them to continue to the brain.

Nociception

The physiological processes related to pain perception