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Consider a Situation in Which We Expect One-Third of the Observed

Question 4

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Consider a situation in which we expect one-third of the observed values to be in each of three 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 14, 19, and 27, what is the P-value range we would obtain for our test? (Use the table of critical values shown to answer this question.)
?
χ2 critical values  for df=2 Sig. level  Value 0.055.990.0257.380.019.21\begin{array}{c}\chi^{2} \text { critical values }\\\text { for } d f=2\\\begin{array}{ll}\text { Sig. level } & \text { Value } \\\hline 0.05 & 5.99 \\0.025 & 7.38 \\0.01 & 9.21\end{array}\end{array}


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

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