Question

A group of randomly selected Wesley High School students were asked to pick their favorite gym class. The table shows the results of the survey. There are 640 students at Wesley High School.

Based on the data, is 150 a reasonable estimate for the number of students at Wesley High School whose favorite gym class is a team sport?
Responses

A No, because the proportion of the sample whose favorite gym class is a team sport is about 9%.No, because the proportion of the sample whose favorite gym class is a team sport is about 9%.

B Yes, because the proportion of the sample whose favorite gym class is a team sport is about 9%.Yes, because the proportion of the sample whose favorite gym class is a team sport is about 9%.

C No, because the proportion of the sample whose favorite gym class is a team sport is about 23%.No, because the proportion of the sample whose favorite gym class is a team sport is about 23%.

D Yes, because the proportion of the sample whose favorite gym class is a team sport is about 23%.

Answer 1

D — Yes, because the sample proportion is about 23%. 0.23 × 640 ≈ 147, which is close to 150, so 150 is a reasonable estimate.