AIR MATH

Math Question

You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies:
\[
H_{O}: p_{A}=0.1 ; p_{B}=0.1 ; p_{C}=0.3 ; p_{D}=0.5
\]
Complete the table.
\begin{tabular}{|l|l|l|l|}
\hline Category & Observed Frequency & Expected Frequency & Squared Residual \\
\hline A & 18 & & \\
\hline B & 35 & & \\
\hline C & 50 & & \\
\hline D & 66 & \\
\hline
\end{tabular}
What is the chi-square test-statistic for this data?
\[
x^{2}=
\]
Report all answers accurate to three decimal places.

Solution

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