In a research report on the effect of moisture on a certain kind of composite material, it is reported that in 80' < of cases the effect is minimal, in 15% of cases the effect is strong, and in the remaining 5% of cases the effect is severe. An experimenter tested these claims by subjecting 800 samples of the composite material to moisture, and the results are given in DS 10.6.8.
(a) Perform a chi-square goodness of fit test to examine whether these experimental results are consistent with the claims made by the research report.
(b) Use the experimental results to construct a 99% one-sided confidence interval that provides an upper bound on the probability of a severe moisture effect.