9
QuizMultiple Choice

Unit Test — Unit test

Question 9 • CA-Statistics and Probability B

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 = 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?

Question illustration
Answer
A
Yes, it is expected that at least 90 of the students will pass the state’s final exam.
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.
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