Question 13 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
An air-conditioning repair technician claims to complete 67% of repairs in under an hour. A random sample of 31 repairs was chosen, and 22 of those were completed in under an hour. Let = the proportion of the random sample that were completed in under an hour.The probability that 71% or more of this technician’s repairs were completed in under an hour is 0.317. Does this result provide convincing evidence against the technician’s claim?
Answer
A
Yes, it is expected that 22 of the units at most will be repaired in under an hour.
B
Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by chance alone is very unlikely.
C
No, there is a very small chance of seeing the sample result. It is unlikely to occur by chance alone.
D
No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely.