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. 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.
$\begin{array} { l | c c }
& \text { Win } & \text { Loss } \
\hline \text { Suit } & 22 & 28 \
\text { T-Shirt } & 28 & 22
\end{array}$
What is your conclusion about the null hypothesis?

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. 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.
 $\begin{array} { l | c c } 
& \text { Win } & \text { Loss } \
\hline \text { Suit } & 22 & 28 \
\text { T-Shirt } & 28 & 22
\end{array}$
 What is your conclusion about the null hypothesis?

Quizplus · Accepted Answer

The proportions of wins for teams wearing suits and those wearing jeans are not significantly different at the 0.05 level, indicating that the data does not provide enough evidence to reject the null hypothesis that the proportions are the same.

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 $\begin{array} { l | c c } & \text { Win } & \text { Loss } \\\hline \text { Suit } & 22 & 28 \\\text { T-Shirt } & 28 & 22\end{array}$