A veteran math teacher at a large high school claims that 93% of their students pass the state’s final exam. A random sample of
120 of the teacher’s students was chosen, and 108 passed the state’s final exam. Let p hat = the proportion of the random sample who passed the state’s final exam. The probability that 90% or fewer of this teacher’s students passed the state’s final exam is 0.096. Does this result provide convincing evidence against the teacher’s claim?
Yes, it is expected that at least 90 of the students will pass the state’s final exam.
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.
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.
