Professor Inarb claims that 50% of his students in a large class achieve a final score 90 points or and higher. A suspicious student asks 17 randomly selected students from Professor Inarb’s class and...

Professor Inarb claims that 50% of his students in a large class achieve a final score 90 points or and higher. A suspicious student asks 17 randomly selected students from Professor Inarb’s class and they report the following scores.

Test the hypothesis that the Professor Inarb ‘s claim is not consistent with the evidence. i.e., that the 50%-tile (0.5-quantile, median) is not equal to 90. Use a = 0.05.