Coach Elyson claims that 90% of her volleyball serves are good serves. The captain of the team thinks Coach Elyson has a lower rate of good serves. To test this, 50 of the coach’s serves are randomly selected and 41 of them are good. To determine if these data provide convincing evidence that the proportion of Coach Elyson’s serves that are good is less than 90%, 100 trials of a simulation are conducted. The team captain’s hypotheses are: H0: p = 90% and Ha: p < 90%, where p = the true proportion of Coach Elyson’s serves that are good. Based on the results of the simulation, what is an estimate of the P-value of the test?
A dotplot. A number line labeled simulated sample proportion of good serves goes from 80 to 98 percent. 80, 2; 84, 13; 86, 11; 88, 12; 90, 23; 92, 12; 94, 14; 96, 10; 98, 3.
0%
2%
4%
98%