Use A $X^2$ Test to Test the Claim That in the Given Contingency

question 16

Essay

Use a $X^2$
test to test the claim that in the given contingency table, the row variable and the
column variable are independent. Responses to a survey question are broken down according
to employment status and the sample results are given below. At the 0.10 significance level,
test the claim that response and employment status are independent. $$\begin{array} { r | c c c } & \text { Yes } & \text { No } & \text { Undecided } \\\hline \text { Employed } & 30 & 15 & 5 \\\text { Unemployed } & 20 & 25 & 10\end{array}$$

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Definitions:

Nash Equilibrium

A concept in game theory where each player's strategy is optimal given the strategies of all other players, leading to a situation where no player can benefit by changing strategies unilaterally.

Dominant Strategy

A strategy in game theory that yields the best outcome for a player, regardless of what strategies other players choose.

Nash Equilibrium

A concept in game theory where each player's strategy is optimal, given the strategies of other players, and no player has an incentive to deviate unilaterally.

Positive Constants

Fixed values greater than zero used in mathematical equations or expressions.