An environmental science teacher at a high school with a large population of students was curious whether the majority (more than half) of students at the school regularly recycle plastic bottles. The teacher asks 146 students at the school: "Do you recycle plastic bottles more often than you throw them in the trash?" (Yes/No). Suppose that 89 of the students answered "Yes".
-If 50% of students at the school regularly recycle plastic bottles, there is only a 0.60% chance that 89 or more students out of 146 would have answered Yes to the teacher's survey. What does this tell you about the proportion of all students at the school that regularly recycle plastic bottles?
A) This probability proves that the proportion of all students at the school that regularly recycle plastic bottles is not equal to 50%.
B) This probability proves that the proportion of all students at the school that regularly recycle plastic bottles is equal to 61%.
C) 50% is not a plausible value for the proportion of all students at the school that regularly recycle plastic bottles.
D) 50% is a plausible value for the proportion of all students at the school that regularly recycle plastic bottles.

Question

Quizplus · Accepted Answer

The low probability (0.60%) suggests that if 50% of students recycled, it would be very unlikely to observe 89 or more students saying "Yes" out of 146. Thus, 50% is not a plausible value for the proportion of students who recycle.

An Environmental Science Teacher at a High School with a Large