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.
-A real estate agent surmises that the median rent for a one-bedroom apartment in a beach community in
southern California is at least $1500 per month. The rents for a random sample of 15 one-bedroom apartments
are listed below. Test the agentʹs claim. Use $$\alpha = 0.01$$ $$\begin{array} { l l l l l } \$ 1800 & \$ 1750 & \$ 1200 & \$ 1375 & \$ 1235 \\\$ 2250 & \$ 1675 & \$ 1170 & \$ 1890 & \$ 2500 \\\$ 1495 & \$ 1500 & \$ 1575 & \$ 1500 & \$ 1280\end{array}$$