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.
What I have to answer:
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 now 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." The rest were "no." What percent of the responses were "no"?
Just need help to get these answers, and once I do pls check if right...
A very good answer on brainly (not mine) already exists:
brainly.com/question/3583343#:~:text=Kent%20interviewed%20the%2054%20students,he%20took%20all%20of%20them.
Well, other people than students should be part of the sample, like teachers and bus drivers and parents.
It says "lengthy school day" which implies that the school day is too lengthy which is a bias already in the wording of the question; moreover I suspect that the majority of students might be biased toward more play time.
100 * (54-51)/54 = 100 (3/54) = 5.56 %
a. To determine if Mr. Kent's sample is random, we need to understand how he selected the students he interviewed. If he randomly selected students from all grades and classes in the school, then the sample can be considered random. However, if he only interviewed a specific group of students or selected them based on certain criteria, then the sample may not be random.
b. To evaluate if the survey question is biased or fair, we need to examine if it presents a balanced perspective. In this case, the question seems to suggest that shortening the school day is a positive change by emphasizing the word "lengthy" and providing a numerical comparison. This bias could influence respondents to lean towards agreeing with the proposed change. Ideally, a fair question should present both sides without any persuasive language.
c. To find the percentage of "no" responses, we need to calculate the ratio of "no" responses to the total number of responses and then multiply by 100. In this case, there were 54 total responses, and 51 were "yes." Therefore, the number of "no" responses is 54 - 51 = 3. The percentage of "no" responses is (3 / 54) * 100 ≈ 5.56%.
Now, let's check if these answers are correct.