7
QuizMultiple Choice

Unit Test — Unit test

Question 7 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

A real estate agent in a large city claims to sell 15% of their houses within two months of the original listing. A random sample of 75 listings is chosen, and 9 were sold within two months of the original listing. Let = the proportion of houses in the random sample that were sold within two months.The probability of 12% or fewer of this real estate agent’s listings being sold within two months is 0.295. Does this result provide convincing evidence against the agent’s claim?

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Answer
A
Yes, it is expected that at least 9 houses will be sold within two months.
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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