Perform the Indicated Sign Test $$\alpha = 0.01 .$$

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.
-Test the hypothesis that the median age of statistics teachers is less than 45 years. A random sample of 60
statistics teachers found 25 above 45 years, 33 below 45 years, and the rest exactly 45 years. Use $$\alpha = 0.01 .$$