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?
A) Fail to reject the null hypothesis.
B) Reject the null hypothesis.
C) Fail to support the null hypothesis.
D) Support 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?
A) Fail to reject the null hypothesis.
B) Reject the null hypothesis.
C) Fail to support the null hypothesis.
D) Support the null hypothesis.

Quizplus · Accepted Answer

The p-value is 0.999, which is greater than 0.05. So, we fail to reject the null hypothesis.

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