Intro to Applied Statistics
Intro to Applied Statistics MATH 283
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This 2 page Class Notes was uploaded by Dr. Cleo Wunsch on Thursday October 15, 2015. The Class Notes belongs to MATH 283 at New Mexico Institute of Mining and Technology taught by Staff in Fall. Since its upload, it has received 16 views. For similar materials see /class/223628/math-283-new-mexico-institute-of-mining-and-technology in Mathematics (M) at New Mexico Institute of Mining and Technology.
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Date Created: 10/15/15
Lecture 19 Comparing two proportions Math 283 Fall 2004 Suggested problems not to be turned in answers to oddnumbered problems are in the back 833 837 841 847 863 Answers might not coincide completely with yours since the book uses Wilson approach Goal compare two population proportions p1 and p2 H0 equal ie p1 p2 HA p1 7E p2 twotailed or p1 gt p2 righttailed or p1 lt p2 le tailed Classical approach Use 13 Xini 139 12 X is number of successes 313131 132 Sq l IU i Onl t 1321 132yn2l Based on normal approximation leads to the CI pl f i 2 SE 1 z Assumptionsall npi and n1 ipl are larger than 10 Example Binge drinking Example 88 p 589 m X Men 7180 1630 Women 9916 1684 Wilson approach used in the Book Use E1 X1ln12 etc when m are small we will not use this Note when m are large both approaches give similar results Hypothesis testing Test statistic where f is pooled estimate for proportion X1 X2n1n2 Pvalue for alternative pl gt 22 PZ gt Test stat for alternative pl lt 22 PZ lt Test stat for alternative 21 7E 22 2PZ gt lTeststatl Use when both up and nl p gt 10 88 continued p 592 Step 1 Ho p1p2 HA p1 7E p2 twotailed Step 2 p 331417096 0194 2 934 Step 3 Pvalue 2PZ gt l934l m 0 out of bounds in Table A Step 4 Reject Ho signi cant difference between men and women In fact from comparing p1 and 132 men bingedrink more often Check assumptions
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