At a high school debate tournament, half of the teams were asked to wear suits and ties and the rest were asked to wear jeans and t-shirts. The results are given in the table below. In order to test the claim at the 0.05 level that the proportion of wins is the same for teams Wearing suits as for teams wearing jeans, what would the null hypothesis be?
$\begin{array} { l | c c }
& \text { Win } & \text { Loss } \
\hline \text { Suit } & 22 & 28 \
\text { T-Shirt } & 28 & 22
\end{array}$

Question

At a high school debate tournament, half of the teams were asked to wear suits and ties and the rest were asked to wear jeans and t-shirts. The results are given in the table below. In order to test the claim at the 0.05 level that the proportion of wins is the same for teams Wearing suits as for teams wearing jeans, what would the null hypothesis be?
 $\begin{array} { l | c c } 
& \text { Win } & \text { Loss } \
\hline \text { Suit } & 22 & 28 \
\text { T-Shirt } & 28 & 22
\end{array}$

Quizplus · Accepted Answer

The null hypothesis in hypothesis testing typically states that there is no effect or no difference. In this case, it would state that the proportion of wins is the same for teams wearing suits as for teams wearing jeans.

At a High School Debate Tournament, Half of the Teams Win Loss Suit 2228 T-Shirt 2822\begin{array} { l | c c } & \text { Win } & \text { Loss } \\\hline \text { Suit } & 22 & 28 \\\text { T-Shirt } & 28 & 22\end{array} Suit T-Shirt ​ Win 2228​ Loss 2822​​

At a High School Debate Tournament, Half of the Teams $\begin{array} { l | c c } & \text { Win } & \text { Loss } \\\hline \text { Suit } & 22 & 28 \\\text { T-Shirt } & 28 & 22\end{array}$