a large university conducts a random survey o...

a large university conducts a random survey on students opinions of campus housing. the results were that 53% of students were satisfied with campus housing, with a margin of error of 4%. the universitys conclusion is that the majority of students are satisfied with campus housing. select the best justification for why the universitys conclusion is or is not valid. yes, the conclusion is valid. the results of the sample were greater than 50% satisfaction. yes, the conclusion is valid. the survey used a random sample, so the sample was not biased. no, the conclusion is not valid. the range of reasonable population percentages includes percentages with less than 50% satisfaction. no, the conclusion is not valid. the sample percent of 53% is not much greater than 50%.

Answer

# Brief Explanations: The margin of error means the true - population percentage could be in a range. Since the sample shows 53% satisfaction with a margin of error, the range of reasonable population percentages includes values less than 50%. So we can't be sure the majority of students are satisfied. # Answer: No, the conclusion is not valid. The range of reasonable population percentages includes percentages with less than 50% satisfaction.