10.4 Practice Questions Exercise 10.29 Algo (Inferences About the Difference Between Two Population Proportions) 1. 2. i Question 2 of 2 Hint(s) Check My Work Consider the hypothesis test below. Ho P1 P2 0 Ha P1 P2> 0 The following results are for independent samples taken from the two populations. Sample 1 n = 100 Sample 2 n2 = 300 P1 = 0.27 P = 0.13 Use pooled estimator of p. a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. b. With a = 0.05, what is your hypothesis testing conclusion? Conclude the difference between the proportions is greater than 0 N .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0015 .0015 .0014 .0014 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 -2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0029 .0028 .0027 .0026 .0039 .0038 .0037 .0036 .0051 .0049 .0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 -2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .0116 .0113 .0110 -2.1 .0179 .0174 .0170 .0166 .0162 .0158 .0154 .0150 .0146 .0143 -2.0 .0228 .0222 .0217 .0212 .0207 .0202 .0197 .0192 .0188 .0183 -1.9 .0287 .0281 .0274 .0268 .0262 .0256 .0250 .0244 .0239 .0233 -1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294 -1.7 .0446 .0436 .0427 .0418 .0409 .0401 .0392 .0384 .0375 .0367 -1.6 .0548 .0537 .0526 .0516 .0505 .0495 -1.5 .0668 .0655 .0643 .0630 .0618 .0606 .0485 .0594 .0582 .0475 .0465 .0455 .0571 .0559 -1.4 .0808 .0793 -1.3 .0968 .0951 .0778 .0764 .0934 .0749 .0918 .0901 .0735 .0721 .0708 .0694 .0681 .0885 .0869 .0853 .0838 .0823 -1.2 .1151 .1131 .1112 .1093 .1075 .1056 .1038 .1020 .1003 .0985 -1.1 .1357 .1335 .1314 .1292 .1271 .1251 .1230 .1210 .1190 .1170 -1.0 .1587 .1562 .1539 .1515 .1492 .1469 .1446 .1423 .1401 .1379 -.9 -.8 .2119 -.7 .2420 .1841 .1814 .1788 .1762 .1736 .1711 .1685 .1660 .1635 .1611 .2090 .2061 .2033 .2005 .1977 .1949 .1922 .1894 .1867 .2389 .2358 .2327 .2296 .2266 .2236 .2206 .2177 .2148 -.6 .2743 .2709 .2676 .2643 .2611 .2578 .2546 .2514 .2483 .2451 -.5 .3085 .3050 .3015 .2981 .2946 .2912 .2877 .2843 .2810 .2776 -.4 .3446 .3409 .3372 .3336 .3300 .3264 .3228 .3192 .3156 .3121 -.3 .3821 .3783 .3745 .3707 .3669 .3632 .3594 .3557 .3520 .3483 -.2 .4207 .4168 .4129 .4090 .4052 .4013 .3974 .3936 .3897 .3859 .1 .4602 .4562 .4522 .4483 .4443 .4404 .4364 .4325 .4286 .4247 -.0 .5000 .4960 .4920 .4880 .4840 .4801 .4761 .4721 .4681 .4641