A large university provides enough housing for 10 percent of its graduate students to live upon campus. The university's housing office thinks that percent of graduate students looking on campus might be more than 10 percent. The housing office decides to survey random sample of graduate students, and 62 of 481 respondents say that they are looking for housing upon campus. On the basis of survey data, would you suggest that the housing office consider rising the amount of housing upon campus available to graduate students? Provide appropriate statistical evidence to support your recommendation.
a. What is the null hypothesis?
b. What is the alternate hypothesis?
c. Test the conditions
d. What is the z-value?
e. What is the p-value of the test statistic?
f. Conclusions and recommendations?