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# statistically significant but not highly statistically significant

• The data are statistically significant but not highly statistically significant for the second alternative (p1 < p2)
• . Sarah performs a CRD with a dichotomous response and obtains the following data. Treatment S F Total 1 a b 22 2 c d 16 Total 8 30 38 Next, she obtains the sampling distribution of the test statistic for Fisher’s test for her data; it is given below. x P(X = x) P(X ≤ x) P(X ≥ x) −0.5000 0.0003 0.0003 1.0000 −0.3920 0.0051 0.0054 0.9997 −0.2841 0.0378 0.0432 0.9946 −0.1761 0.1376 0.1808 0.9568 −0.0682 0.2722 0.4530 0.8192 0.0398 0.3016 0.7546 0.5470 0.1477 0.1831 0.9377 0.2454 0.2557 0.0558 0.9935 0.0623 0.3636 0.0065 1.0000 0.0065 (a) Find the P-value for the first alternative (p1 > p2) if a = 6. 2 (b) Find the P-value for the third alternative (p1 6= p2) if x = −0.1761. (c) Determine both the P-value and x that satisfy the following condition: The data are statistically significant but not highly statistically significant for the second alternative (p1 < p2).

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