申論題

7. It was claimed that many commercially manufactured dice are not fair because the "spots" are really indentations, so that, for example, the 6-side is lighter than the 1-side. Let p equal the probability of rolling a 6 with one of these dice. To test H₀: p = against the alternative hypothesis H₁: p>, several such dice will be rolled to yield a total of n = 8000 observations. Let Y equal the number of times that 6 resulted in the 8000 trials.

(b) If the results of the experiment yielded y = 1389, and we use a significance level of α = 0.05, is the null hypothesis is accepted or rejected? __(K)__ (Z_α = Z_0.05 = 1.645)