題組內容

4、(20%) Some dentists were interested in studying the fusion of embryonic rat palates by using a standard transplantation technique. When no treatment (vitamin A) is used, the probability of fusion approximately equals 0.89. They would like precisely to estimate p, the probability of fusion, when vitamin A is lacking.

(a) \( (10\%) \) Let \( y \) denote the number of fusions in the sample. How large a sample \( n \) of rat embryos is needed for \( y / n \pm 0.10 \) to be a \( 95\% \) confidence interval for \( p \)?