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1 The accompanying data is on cube compressive strength (MPa) of concrete specimens. 112.3 97.0 92.6 86.0 102.0 99.3 95.8 103.5 89.0 86.7 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) .- _x P-value = 0.1146 x 2 Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing stress will usually differ from the theoretical yielding point. Let p denote the true proportion of samples that yield before their theoretical yielding point. If on the basis ofa sample it can be concluded that more than 20% of all specimens yield before the theoretical point, the production process will have to be modified. ( a) If the true percentage of "early yields" is actually 50% (so that the theoretical point is the median of the yield distribution) and a level 0.01 test is used, what is the probabiiity that the company concludes a modification of the process is necessary? (Round your answer to four decimal places.) S