Sections 6.3 and 6.4: Check Your Understanding Complete all steps for the following tests using the appropriate theoretical distribution in StatKey or Table A. {Refer to \"Steps for CI & HT\" handout.) Section 6.3 From your Formula Sheet: Comm Interval Procedure ' c FornhI and-Haz: Mi" 2 magma\" _(1l32J0 n(l)210 (laznz'ss p1=p2 z_ IW {normal} SE 1. [at least 10 successes 81 10 failures in each] Is there evidence that the proportion of successful pregnancies is lower for women who smoke than for women who do not smoke? From a study of 678 women attempting pregnancy, 38 out of 135 smoking women successfully became pregnant, and 206 out of 543 nonsmoking women successfully became pregnant. The difference of proportions from this sample is given by 135 '13 = 0-098. Assume this is a representative sample and the distribution of differences in proportions is approximately normal. State hypotheses: Check conditions for using Normal distribution techniques (for a HT, use p{} when checking conditions): it was given in the problem that conditions were met, so you can just state this. Get the Standard Error (use the SE Calculator for a Difference of Two Sample Proportions for a Hypothesis Test): Calculate the test statistic: Find the p-value (include a sketch showing the Normal distribution and tail area corresponding to the p- value): Write a strength of evidence conclusion in context