In response to media inquiries an dconcerns expressed by groups opposed to violence, the president of a university with over 25,000 students has agreed to surveya simple random sampleof her students to find out whether the student body thinks the school’s “Plundering Pirate” mascot should be changed to one that is less aggressive in name and appearance. Of the 200 students selected for participation in the survey, on ly 20% believe the school should select a new and more kindly mascot. Construct a 90% confidence intervalfor the population proportion of students who believe the mascot should be changed. Based on the sample findings and associated confidence interval, comment on the credibility of a local journalist’s comment that “over 50% of th students would like a new mascot.
The solution provides step by step method for the calculation of Confidence interval for proportion . Formula for the calculation and Interpretations of the results are also included.