2x ≡ 6(mod 4)

2022-03-18

2x ≡ 6(mod 4)

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You are conducting a Goodness of Fit hypothesis test for the claim that all 5 categories are equally likely to be selected. Complete the table. Report all answers correct to three decimal places.

$\begin{array}{|cccc|}\hline \text{Category}& \text{Observed Frequency}& \text{Expected Frequency}& \text{(obs-exp)^2/exp}\\ \text{A}& 15\\ \text{B}& 19\\ \text{C}& 23\\ \text{D}& 18\\ \text{E}& 5\\ \hline\end{array}$

What is the chi-square test-statistic for this data?${\chi}^{2}=$

At the alpha = 0.05 level, what is the conclusion for this test?

Fail to reject the null hypothesis

Reject the null hypothesis

Report all answers accurate to three decimal places.