A certain medical school accepts only 8% of applicants. A prep program claims that their students are admitted to this medical school at a higher rate. To test their claim at the 10% significance level, we select at random 144 students from the prep program (who all apply to this medical school), and we compute 13, the proportion of the sample who are admitted to the medical school. Suppose it is true that 12% of all students from the prep program are admitted to the medical school. Determine the power of our test to detect this alternative