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 p hat = 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?

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

p

step-by-step explanation:

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.