Question

A large university provides housing for 15 percent of its graduate students to live on campus. The university’s housing office thinks that the percentage of graduate students looking for housing on campus may be more than 15 percent. The housing office decided to survey a random sample of graduate students, and 78 of the 433 respondents say that they are looking for housing on campus.

a) On the basis of the survey data, would you recommend that the housing office consider increasing the amount of housing on campus available to graduate students? Give appropriate evidence to support your recommendation. [Conduct a hypothesis test: State,Plan, Do,Conclude]

b) Interpret the p-value obtained in part a) in context.

c) In addition to the 433 graduate students who responded to the survey, there were 21 who did not respond. If these 21 had responded, is it possible that your recommendation would have changed? Explain.

d) 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.

e) Describe what a Type I error would be in the context of the study, and also describe a consequence of making this type of error.

Please answer all parts to the question. Thank you!

Answer 1