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. Ken interviewed 54 students as they left the school. Is this a random sample? Explain.
B) Mr., can’t use the survey question “ should the lengthy school day, which now extends 47.5 hours be sure to six 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 from now
on were in favor of shortening the school day?
A) It is not clear whether or not Mr. Kent's sample is random. A random sample is a sample in which every member of the population has an equal chance of being selected. Without knowing how Mr. Kent selected the 54 students, we cannot determine if it is a random sample or not.
B) The question is biased because it is leading and suggests a desired answer. By including the phrase "which now extends 47.5 hours," the question implies that the current length of the school day is too long and needs to be shortened. A neutral question would be "Should the length of the school day be shortened?"
C) To find the percent of responses in favor of shortening the school day, we divide the number of "yes" responses by the total number of responses and multiply by 100%.
Percent in favor = (51/54) x 100% = 94.4%