Medicine and Clinical Studies
A certain puzzle task is designed to measure spatial reasoning performance. Fortyfive percent of all people attempting the puzzle complete the task within the allotted time. A researcher decided to test the theory that classical music increases brain activity and improves the ability to perform such tasks. A random sample of 400 people was obtained, and each listened to 15 minutes of classical music and attempted the task. Two hundred and eleven completed the task within the allotted time.
a. Is there any evidence to suggest the proportion of people who complete the puzzle within the allotted time has increased? Use a = 0.001.
b. Compute the p value associated with this test.
c. Carefully sketch a graph indicating the critical value from part (a) and the p value from part (b).