Question

patrick wants to know the proportion of students at his school who plan to see a new movie. he interviews a random sample of students at his school. he finds that 40% of the students in the sample plan to see the movie. what conclusion can he draw from the sample? a it is likely that about 40% of the students at his school plan to see the movie. b exactly 40% of the students at his school plan to see the movie. c every random sample will find that 40% of the students plan to see the movie. d it is likely that 40% of the students at his school were selected for the sample.

Explanation:

A sample is used to make an estimate about the whole population. Since Patrick has a random sample where 40% plan to see the movie, it is likely (but not exact) that this proportion is similar in the whole school population. We cannot say every sample will have the same result, and option D misinterprets what the 40% means.

Answer:

A. It is likely that about 40% of the students at his school plan to see the movie.