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Consider a Situation in Which We Expect the Same Frequency

question 27

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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, 26, 8, 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.)
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χ2 critical values  for df=2 Sig. level  Value 0.057.810.0259.350.0111.34\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}

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