25. (5%) Suppose we are interested in the rate (p) of Cancer A in rats that have been
fed with a diet consisting of high saccharin (糖精). We fed this diet to 20 rats and
found that I rat developed cancer. The study goal is to claim that the cancer rate is
higher than 5%. Which of the following statement is INCORRECT?
(A) The claim can be statistically confirmed by performing the hypothesis testing:
Ho:p ≥ 0.05 v.s.H
1 :p ＜ 0.05
(B) The sample proportion
follows a normal distribution approximately
(C) Based on the sample proportion
= 1/20, the hypothesis testing (with type I error
0.05) cannot conclude that the cancer rate is higher than 5%
(D) The estimation error of
for estimating p is approximately
(E) If such an experiment can be repeated independently many times, the number of
rats (out of 20) developing cancer follows a Poisson distribution approximately
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