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Answer 1:a. Part b, at least one of the proportions differs
b. 1. The test statistic is found as:
Total frequency = 340
P1=0.60, p2= 0.25, p3 = 0.15
Expected frequency, for category 1 = 0.60 *340 = 204, fr category 2 = 0.25 * 340 = 85 and for category 3 = 340 – 204 – 85 = 51.
Actual frequency = 230, 80, 30.
Test statistic = (204 – 230)2/204 + (85 – 80)2/85 + (51 – 30)2/51 = 12.25
2. (b) p < 0.005...