Anthony Says That He Thinks Births at a Local Hospital

Essay

Anthony says that he thinks births at a local hospital will be equally likely to occur on any day of the week, whereas Justin says they probably won't be because doctors or hospitals schedule Caesarian sections for certain days. Imagine they collect data for 105 births and the numbers on each day are as follow: 21, 16, 8, 12, 10, 17, 21. Conduct an χ² goodness-of-fit test to determine whether the data support Anthony or Sarah. As part of your answer, present the test statistic and the P-value range it corresponds to (using the table of critical values for 6 degrees of freedom shown).
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$\begin{array}{c}\chi^{2} \text { critical values }\\\text { for } d f=2\\\begin{array}{ll}\text { Sig. level } & \text { Value } \\\hline 0.05 & 12.59 \\0.025 & 14.45 \\0.01 & 16.81\end{array}\end{array}$