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"?
i think i have the answer to b: biased because he phrased it to make the day sound a lot longer because he said lengthy and such. i need help on c and a though. help?
Not sure on A, but I know C. Around %6 said no, bc 51 said yes and 54 replied in total. 54 - 51 = 3, 3/54 = 0.0555555 according to my calculator, then that multiplied by 100 = 5.55 = %6.
Also ty Get Schooled and Ms. Sue
A. Mr. Kent interviewed the 54 students as they are going to leave the school, it is not considered to be a random sample. It is because a random sample is when a set is taken from a population. Mr. Kent interviewed the 54 who are going to leave, meaning, he didn't take a set out of that 54, he took all of them. So it is not a random sample.
b. The question that Mr. Kent asked is considered to be a leading question, so it does not seem biased.
c. If there are 54 respondents.
51 = yes, the rest is no.
= 54 - 51 = 3
= 3 is now divided to 54 = 3/54
= giving an answer of 0.0555
= 0.0555 x 100
= 5.6%
= The percent of responses that says 'no' is 5.6%
hi
Hello! How can I assist you today?
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"?
a. It depends on how Mr. Kent selected the 54 students. If he selected them randomly from the entire student population, then it could be considered a random sample. However, if he only interviewed students from a particular grade level or class, then it would not be a random sample.
b. The question could be considered biased because it uses the term "lengthy" to describe the current school day, which has a negative connotation. This could potentially influence respondents to answer "yes" to shorten the school day, even if they do not truly believe it should be shortened.
c. The percent of responses that were "no" is calculated by first subtracting the number of "yes" responses from the total number of responses:
54 - 51 = 3
Then, you can divide the number of "no" responses by the total number of responses and multiply by 100 to get the percentage:
(3/54) x 100 = 5.56%
So, about 5.56% of the responses were "no."
Thank you for your input! Your explanations for part a and c are correct, and I agree that the sample may not be considered random due to the fact that Mr. Kent only interviewed students leaving the school. As for part b, I understand your point that it could be considered a leading question rather than a biased one. It all depends on the interpretation of the word "lengthy" and whether or not it has a negative connotation.
a. No, the sample is not random. Mr. Kent interviewed students as they left the school, which may introduce selection bias as it only captures the opinions of students who happen to be available at that specific time.
b. The question is biased. It includes the phrase "lengthy school day," which carries a negative connotation, potentially influencing respondents towards supporting the idea of shortening the school day.
c. The percent of responses that were "no" is approximately 5.56% (3 out of 54 responses).