A lаrge university prоvides hоusing fоr 10 percent of its grаduаte students to live on campus.The university’s housing office thinks that the percentage of graduate students looking forhousing on campus may be more than 10 percent. The housing office decides to survey arandom sample of graduate students, and 62 of the 481 respondents say that they are lookingfor housing on campus. On the basis of the survey data, would you recommend that the housing office considerincreasing the amount of housing on campus available to graduate students? Give appropriateevidence to support your recommendation In addition to the 481 graduate students who responded to the survey, there were 19 who did not respond. If these 19 had responded, is it possible that your recommendation would have changed? Explain. NOTE: Please type your answers in the space below. Label all parts clearly. I know you cannot draw anything, that is OK. Include everything you normally would other than the picture.
A recent repоrt stаted thаt less thаn 35 percent оf the adult residents in the city оf Vista will be able to pass a health and wellness benchmark exam. Consequently, the city’s Vista Parks and Rec Department is trying to convince the City Committee for Health and Wellness to fund more health and wellness programs. The committee has a limited budget and is unsure of the validity of the report. The committee will fund more health and wellness programs only if the Parks and Rec Department can provide convincing evidence that the report is true. The Vista Parks and Rec Department plans to collect data from a sample of 185 adult residents in the city of Vista. A test of significance will be conducted at a significance level of a = 0.05 for the following hypotheses. where p is the proportion of Vista residents in the city who are able to pass the health and wellness benchmark exam. (a) Describe what a Type II error would be in the context of the study, and also describe a consequence of making this type of error. (b) The Vista Parks and Rec Department recruits 185 adult residents who volunteer to take the health and wellness benchmark exam. The test is passed by 71 of the 185 volunteers, resulting in a p-value of 0.83 for the hypotheses stated above. If it was reasonable to conduct a test of significance for the hypotheses stated above using the data collected from the 185 volunteers, what would the p-value of 0.83 lead you to conclude? (c) Describe the primary flaw in the study described in part (b), and explain why it is a concern. NOTE: Please type your answers in the space below. Label all parts clearly and show all work and reasoning.