5
QuizMultiple Choice

Type I and Type II Errors

Question 5 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

Devon’s tennis coach says that 72% of Devon’s serves are good serves. Devon thinks he has a higher proportion of good serves. To test this, 50 of his serves are randomly selected and 42 of them are good. To determine if these data provide convincing evidence that the proportion of Devon’s serves that are good is greater than 72%, 100 trials of a simulation are conducted. Devon’s hypotheses are: H0: p = 72% and Ha: p > 72%, where p = the true proportion of Devon’s serves that are good. Based on the results of the simulation, what is the estimate of the P-value of the test?

Question illustration
Answer
A
0.02
B
0.04
C
0.06
D
0.12
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Devon’s tennis coach says that 72% of Devon’s…