Consider a Claim That 60% of the Mice in a Region

question 1

Multiple Choice

Consider a claim that 60% of the mice in a region have parasitic infections. We can use an ?² goodness-of-fit test to test whether the proportion is indeed 60%. Consider a study in which we collect a random sample of 50 mice and 37 have infections. Calculate the ?² value, and using the table of critical values shown, what is the conclusion of our test?
?
$\begin{array}{c}\chi^{2} \text { critical values }\\\text { for } d f=2\\\begin{array}{ll}\text { Sig. level } & \text { Value } \\\hline 0.05 & 3.84 \\0.025 & 5.02 \\0.01 & 6.63\end{array}\end{array}$

• A) We fail to reject the null hypothesis and therefore conclude that the percentage of mice with infections may indeed be 60% as claimed.
• B) We fail to reject the null hypothesis and therefore conclude that the percentage of mice with infections is not 60% as claimed.
• C) We reject the null hypothesis and therefore conclude that the percentage of mice with infections may indeed be 60% as claimed.
• D) We reject the null hypothesis and therefore conclude that the percentage of mice with infections is not 60% as claimed.

---

Definitions:

Self-Fulfilling Prophecy

A phenomenon where a belief or expectation, whether accurate or not, influences behaviors in a way that causes the belief to become a reality.

Adult Supervision

The guidance and oversight provided by adults to children or adolescents, ensuring their safety and facilitating appropriate behavior.

Mass Media

Forms of communication, such as television, newspapers, and the Internet, that reach large audiences and play a significant role in shaping public opinion.

Peer Group Influence

The impact that a group of individuals of similar age, background, or social status can have on an individual's behavior, attitudes, and values.