16. An anthropologist wants to estimate the proportion of children in a tribe in the Philip- pines who die before reaching adulthood. For families she knew who had children born between 1970 and 1975, 3 of 30 children died before reaching adulthood.

a) Construct a 90% confidence interval for the corresponding population proportion.

b) Explain why this interval is highly approximate and perhaps inappropriate. (Hint. Check the sample size and sampling assumptions.)