a). A study showed that 16 out of a sample of 33 admirals educated at Annapolis graduated in the top quarter of their class. Are admirals more likely to be from the top of the class? Test the null hypothesis that there is no association between class standing and being promoted to the rank of admiral at the 95% confidence level (5% error level).

1. In basic terms, this is a test of whether the average Admiral performed better than the average students across time at the Naval Academy. The average students by mathematical definition have always had exactly 25% that graduate in the top 25% of the class.

2. Compute and explain the 2 sided p-value that goes along with the above calculation