The city of Valley Grove is considering shortening the length of the school day, The school board hired Mr. Kent to do a survey to help them decide what to do.
a. Mr. Kent interviewed 54 students as they left the school is this a random sample? explain.
b. Mr. Kent used this survey question: "Should the lengthy school day which extends for 7.5 hours, be shortened to 6 hours?" is this question biased or fair? explain.
c. Of the 54 responses he received 51 were "yes." and the rest were "no." what percent of the responses were "no."?
a. No, this is not a random sample. Mr. Kent only interviewed students who were leaving school, which could potentially leave out students who have different schedules or who have already left for the day. Additionally, the sample is small and may not accurately represent the opinions of all students in the school district.
b. This question is biased because it suggests that the current school day is "lengthy" and implies that it should be shortened. A more neutral question would be "Do you think the school day should be shortened?"
c. The percent of responses that were "no" is 5.6% (3 out of 54 responses).