At a high school, the cafeteria staff provides optional comment cards to students eating in the cafeteria. Students who wish to make a comment can obtain and fill out a comment card and return it to a drop box in the front office. At the end of the semester, the staff analyzes the responses and finds that 72% of the students who filled out a comment card recommend major changes to the food selection. What conclusions can the cafeteria staff draw from these responses?

a. Since all of the students had an opportunity to respond, this is evidence that a majority of all the students supports major changes.
b. The cafeteria staff should not use the results to draw any conclusions since some students may not have filled out a comment card, which is nonresponse.
c. If the students recorded their grade level with their response, the staff could make the original sample a stratified sample and use the responses to learn what proportion of each grade recommends major changes to food selection.
d. The responses were from a voluntary response sample, so the cafeteria staff should not use the results to draw any conclusions.
e. The opportunity to fill out comment cards should be offered to students at all high schools in the school district to get a larger sample size, which will make the results more reliable

Respuesta :

Answer:

d

Step-by-step explanation:

The correct answer is (D). With a voluntary response sample, students with a stronger opinion on the food will be more likely to drop off a survey in the front office. Because the sample is not representative, no conclusions can be drawn about all students’ opinions of the food.

The correct statement is The responses were from a voluntary response sample, so the cafeteria staff should not use the results to draw any conclusion.

Given that,

At the end of the semester, the staff analyzes the response and finds that 72% of the students who filled out a comment card recommend major changes to the food selection.

We have to determine,

The conclusion can the cafeteria staff draw from the response.

  • All the students have opportunity to respond,

This is evidence that a majority of all the students not support the major changes. because 72% of the students filled comment wants changes not all the students.

  • The cafeteria staff should not use the results to draw any conclusions since some students may not have filled out a comment card, which is nonresponse. only 72% students wants major changes not all, who not filled the cards nor sure for changes.

  • The responses were from a voluntary response sample, so the cafeteria staff should not use the results to draw any conclusions

  • The opportunity to fill out comment cards should be offered to students at all high schools in the school district to get a larger sample size, which will make the results more reliable.

  • If the students recorded their grade level with their response, the staff could make the original sample a stratified sample and use the responses to learn what proportion of each grade recommends major changes to food selection.

Hence, The correct statement is The responses were from a voluntary response sample, so the cafeteria staff should not use the results to draw any conclusions.

For more information about Reasoning click the link given below.

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