5.44. You randomly sample five students at your school to estimate the proportion of students who like tofu. None of the five students say they like it.

(a) Find the sample proportion who like it and its standard error. Does the usual interpretation ofse make sense?

(b) Why is it not appropriate to use the ordinary confidence interval formula (from Section 5.1) for these data? Use a more appropriate approach, and interpret.

5.45. Referto Exercise 5.33. Construct a 95% confidence interval for the median annual income ofthe public housing residents. Interpret.