Question: You randomly sample five students at your school to estimate the proportion of students who like tofu. All five students say they like it. a.

You randomly sample five students at your school to estimate the proportion of students who like tofu. All five students say they like it.
a. Find the sample proportion who like it.
b. Find the standard error. Does its usual interpretation make sense?
c. Find a 95% confidence interval, using the large-sample formula. Is it sensible to conclude that all students at your school like tofu?
d. Why is it not appropriate to use the ordinary large sample confidence interval in part c? Use a more appropriate approach, and interpret the result.

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