In a certain school, students can choose whether to eat in the school’s cafeteria. A reporter working for the school’s newspaper polled students on their reactions to changes in the menu at the cafeteria. For each student leaving the cafeteria in one 30-minute time period, the reporter used a coin to determine whether to stop the student and ask how he or she felt about the new menu. In the reporter’s article it was stated that a random sample of the students showed that 89 percent of the school’s student population was happy with the new menu. Which of the following statements is true?

A.Because each student leaving the cafeteria was randomly selected and could choose to answer or not, this is a random sample of the student population, and the 89% is an accurate measurement of the school population’s view of the new menu.

B. Because students self-selected whether to eat in the cafeteria, the sampling method might be biased and the sample might not be representative of all students in the school.

C. The survey would have been more effective if the reporter had collected the data in one 15-minute time period rather than in one 30-minute time period.

D. The survey would have been more effective if students who cared about the food could have called the reporter to tell how they felt about the new menu, so that only students with opinions on the subject would have been surveyed.

E. Because no treatment was imposed on the students eating in the cafeteria, one cannot make any conclusions about the new menu.

The statement that is true is B. Because students self-selected whether to eat in the cafeteria, the sampling method might be biased and the sample might not be representative of all students in the school.

Step-by-step explanation:

Because of students can decide if they eat in the cafeteria or not, the sample obtained by the reporter can be extrapolated only to the population of students that actually eat in the cafeteria, not to all students population. To make a conclusion of the degree of conformity of all students population, the poll should have been conducted in a hallway of the school (to get the opinion of all students, not only the ones that go to the cafeteria). In other way, the reporter are loosing the opinion of those students that are not happy with the new menu, and decide not going to the cafeteria.

rahulsharma789888 rahulsharma789888 · Answer 2 · 2021-11-30T07:38:54+01:00

Option B is correct

According to the given situation students can choose whether to eat in the school’s cafeteria. A reporter working for the school’s newspaper polled students on their reactions to changes in the menu at the cafeteria.

It was stated that a random sample of the students showed that 89 percent of the school’s student population was happy with the new menu.

For random sampling the reporter used flipping of coin.

Out of the given following options A, B,C, D and E we have to select the true statement.

The given options are

A. Because each student leaving the cafeteria was randomly selected and could choose to answer or not, this is a random sample of the student population, and the 89% is an accurate measurement of the school population’s view of the new menu.

B. Because students self-selected whether to eat in the cafeteria, the sampling method might be biased and the sample might not be representative of all students in the school.

C. The survey would have been more effective if the reporter had collected the data in one 15-minute time period rather than in one 30-minute time period.

D. The survey would have been more effective if students who cared about the food could have called the reporter to tell how they felt about the new menu, so that only students with opinions on the subject would have been surveyed.

E. Because no treatment was imposed on the students eating in the cafeteria, one cannot make any conclusions about the new menu.

The random sampling done by reporter might be biased because of the following reason

The number of students coming to cafeteria are only those students who are interested to come to cafeteria. They are small part of population of students who come to college.

In a way there is a high chance that the sample chosen by the reporter is highly biased.

Since there is no instructions that all school students will visit the cafeteria and also it is given that they can choose whether to eat in the cafeteria so we conclude that option B is correct.

Option B is correct .

For more information please refer to the link given belowhttps://brainly.com/question/12719645