Question: You randomly sample five students at your school to estimate the proportion of students who like broccoli. None of the five students say they like

You randomly sample five students at your school to estimate the proportion of students who like broccoli.

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 of se make sense?

(b) Why is it not appropriate to use the ordinary confidence interval formula (from page 124) for these data?

Use a more appropriate approach, and interpret.

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