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217 SKILL BUILDER 3 In Exercises 4.52 and 4.53, a randomization distribution is given for a hypothesis test, and shows what values of the sample statistic are likely 12 to occur if the null hypothesis is true. Several possible values are given for a sample statistic. In each case, indicate whether seeing a sample statistic as extreme as the value given is (i) reasonably likely to occur when the null hypothesis is true, (ii) unusual but might occur 78 occasionally when the null hypothesis is true, or (iii) extremely unlikely to ever occur when the null hypothesis is true. 4.52 Figure 4.15(a) shows a randomization distribution for a 80 hypothesis test with Ho : p = 0.30. Answer the question for these possible sample proportions: a. p = 0.1 39 b. p = 0.35 c. p = 0.6 95 ....... ............ . ........ 06 ............" 0.02 0.09 0.16 0.23 0.30 0.37 0.44 0.51 0.58 285 290 295 300 305 310 315 16 (a) (b) Figure 4.15 Randomization distributions for Skill Builder 3 23 4.53 Figure 4.15(b) shows a randomization distribution for a hypothesis test with Ho : u = 300. Answer the question for these 33 possible sample means: a. x = 250 13 b. = = 305 c. x = 315 Answer 9 a. (iii) b. (i) 3 c. (ii) Solution