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

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?
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$\begin{array}{c}\chi^{2} \text { critical values }\\\text { for } d f=2\\\begin{array}{ll}\text { Sig. level } & \text { Value } \\\hline 0.05 & 3.84 \\0.025 & 5.02 \\0.01 & 6.63\end{array}\end{array}$

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.