Perform the Indicated Sign Test $$\alpha = 0.05$$

Perform the indicated sign test. Be sure to do the following: Identify the claim mathematically and state the null and
alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail to reject
the null hypothesis and interpret the decision in the context of the original claim.
-Nine students took the SAT test. Their scores are listed below. Later on, they took a test preparation course and
retook the SAT. Their new scores are listed below. Use the sign test to test the claim that the test preparation
has no effect on their scores. Use $$\alpha = 0.05$$ $$\begin{array} { l c c c c c c c c r } \hline \text { Student } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\\hline \text { Before Score }& 860 & 820 & 910 & 990 & 1000 & 930 & 870 & 1180 & 920 \\\text { After Score } & 880 & 820 & 900 & 1030 & 1030 & 940 & 860 & 1220 & 940 \\\hline\end{array}$$