Suppose That a Device Advertised to Increase a Car's Gas $\mathrm { H } _ { 0 }$

question 521

Multiple Choice

Suppose that a device advertised to increase a car's gas mileage really does not work. We test it on a small fleet of cars (with $\mathrm { H } _ { 0 }$ : not effective) , and our data results in a $P$ -value of $0.004$ . What probably happens as a result of our experiment?

• A) We fail to reject \(\mathrm { H } _ { 0 }\), committing Type II error.
• B) We correctly fail to reject \(\mathrm { H } _ { 0 }\).
• C) We reject \(\mathrm { H } _ { 0 }\), making a Type I error.
• D) We reject \(\mathrm { H } _ { 0 }\), making a Type II error.
• E) \(\mathrm { We }\) correctly reject \(\mathrm { H } _ { 0 }\).

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Definitions:

Terminal Liver Cancer

A final stage of liver cancer where the disease is considered advanced and incurable, often with limited life expectancy.

Atheist

An individual who does not believe in the existence of any deities or gods.

Agnostic

A person who believes that the existence or nonexistence of a deity or deities cannot be known with certainty.

Terminal Disease

A disease that is incurable and irreversible, leading to death within a short period of time despite treatment.