Perform the Indicated Sign Test $$\alpha = 0.05 \text {. }$$

Essay

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.
-A club professional at a major golf course claims that the course is so tough that the median score is greater
than 75. The scores from a random sample of 20 professional golfers are listed below. Test the club
professionalʹs claim. Use $$\alpha = 0.05 \text {. }$$ $$\begin{array} { l l l l l l l l l l } 74 & 72 & 75 & 75 & 78 & 77 & 69 & 81 & 75 & 80 \\72 & 74 & 76 & 76 & 83 & 81 & 75 & 77 & 78 & 68\end{array}$$