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Mathematics, 30.03.2021 01:10 bcox32314

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 p hat = 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?

Yes, it is expected that 22 of the units at most will be repaired in under an hour.
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.
No, there is a very small chance of seeing the sample result. It is unlikely to occur by chance alone.
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.

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