Consider a Situation in Which We Expect the Same Frequency

Multiple Choice

Consider a situation in which we expect the same frequency of 64 total observations to be in each of four categories. We can use an ?² goodness-of-fit test to test whether the frequencies of offspring are as expected. If the numbers of values in each category are 12, 24, 10, and 18, what is the P-value range we would obtain for our test? (Use the table of critical values shown to answer this question.)
?
$\begin{array}{c}\chi^{2} \text { critical values }\\\text { for } d f=2\\\begin{array}{ll}\text { Sig. level } & \text { Value } \\\hline 0.05 & 7.81\\0.025 & 9.35 \\0.01 & 11.34\end{array}\end{array}$

A) 0.05 < P
B) 0.025 < P < 0.05
C) 0.01 < P < 0.025
D) P < 0.01