Q2: [23] Legalization of Cannabis Canadian political parties had different stand on legalization of cannabis prior the national election in 2019. The Liberal party pledged to legalize cannabis nationwide, while Conser- vative Party voted against legalizing cannabis in 2018. To understand whether the party voters/followers had the same opinion, a Telfer student took two random samples of eligible voters in 2019 prior election who had affiliation with the Conservative and Liberal parties respectively. In the first random sample, 100 out of 178 Conservative voters "supported" the legalization, and 150 out of 200 Liberal voters "supported" the legalization. Do you think the Conservative supporters favoured less the legalization of cannabis compared to the Liberal supporters reflecting the party's stand? (a) [10] Test at 5% level of significance whether the proportion of voters "supporting" the legalization of cannabis among the Conservative is lower than the Liberal. Use both critical value and p-value approach showing detailed manual calculation of the steps of hypotheses (hypotheses, decision zone, critical value, p-value, decision with justification). Let pi be the proportion of Conservative voters and pa be the proportion of Liberal voters supporting the legalization of cannabis. (Manual Calculation) (b) [8] Calculate an appropriate 95% confidence interval for testing the hypotheses stated in (a) and interpret. Now, perform the hypothesis using confidence interval approach. (Manual Calculation)Second decimal place in a 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0.00 0.0000 -3.9 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.8 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.7 0.0001 0.0001 0.0001 0.0001 D.0001 0.0001 0.0001 0.0001 0.0002 0.0002 -3.6 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0,0002 0.0002 0.0002 0.0002 -3.5 0.0002 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 -3.4 0.0003 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 0.0005 0.0005 -3.3 0.0005 0.0005 0.0005 0.0006 0.0006 0.0006 0.0006 0.0006 0.0007 0.0007 -3.2 0.0007 0.0007 0.0008 0.0008 0.0008 0.0008 0.0009 0.0009 0.0009 0.0010 -3.1 0.0010 0.0010 0.0011 0.0011 0.0011 0.0012 0.0012 0.0013 0.0013 0.0013 -3.0 0.0014 0.0014 0.0015 0.0015 0.0016 0.0016 0.0017 0.0018 0.0018 0.0019 -2.9 0.0019 0.0020 0.0021 0.0021 0.0022 0.0023 0.0023 0.0024 0.0025 0.0026 -2.8 0.0026 0.0027 0.0028 0.0029 0.0030 0.0031 0.0032 0.0033 0.0034 0.0035 -2.7 0.0036 0.0037 0.0038 0.0039 0.0040 0.0041 0.0043 0.0044 0.0045 0.0047 -2.6 0.0048 0.0049 0.0051 0.0052 0.0054 0.0055 0.0057 0.0059 0.0060 0.0062 -25 0.0064 0.0066 0.0068 0.0069 0.0071 00073 0.0075 0.0078 0.0080 0.0082 -2.4 0.0084 0.0087 0.0089 0.0091 0.0094 0.0096 0.0099 0.0102 0.0104 0.0107 -2.3 0.0110 0.0113 0.0116 0.0119 0.0122 0.0125 0.0129 0.0132 0.0136 0.0139 -2.2 0.0143 0.0146 0.0150 0.0154 0.0158 0.0162 0.0166 0.0170 0.0174 0.0179 -2.1 0.0183 0.0188 0.0192 0.0197 0.0202 0.0207 0.0212 0.0217 0.0222 0.0228 -2.0 0.0233 0.0239 0.0244 0.0250 0.0256 0.0262 0.0268 0.0274 0.0281 0.0287 -1.9 0.0294 0.0301 0.0307 0.0314 0.0322 0.0329 0.0336 0.0344 0.0351 0.0359 -1.8 0.0367 0.0375 0.0384 0.0392 0.0401 0.0409 0.0418 0.0427 0.0436 0.0446 -1.7 0.0455 0.0465 0.0475 0.0485 0.0495 0.0505 0.0516 0.0526 0.0537 0.0548 -J.6 0.0559 0.0571 0.0582 0.0594 0.0606 0.0618 0.0630 0.0643 0.0655 0.0668 -1.5 0.0681 0.0694 0.0708 0.0721 0.07.35 0.0749 0.0764 0.0778 0.0793 0.0808 -1.+ 0.0823 0.0838 0.0853 0.0869 0.0885 0.0901 0.0918 0.0934 0.0951 0.0968 -1.3 0.0985 0.1003 0.1020 0.1038 0.1056 0.1075 0.1093 0.1112 0.1131 0,1151 -1.2 0.1170 0.1190 0.1210 0.1230 0.1251 0.1271 0.1292 0.1314 0.1335 0.1357 -1.1 0.1379 0.1401 0.1423 0.1446 0.1469 0.1492 0.1515 0.1539 0.1562 0.1587 -1.0 0.1611 0.1635 0.1660 0.1685 0.1711 0.1736 0.1762 0.1788 0.1814 0.1841 09 0.1867 0.1894 0.1922 0.1949 0.1977 0.2005 0.2033 0.2061 0.2090 0.2119 0. 8 0.2148 0.2177 0.2206 0.2236 0.2266 0.2296 0.2327 0.2358 0.2389 0.2420 -0.7 0.2451 0.2483 0.2514 0.2546 0.2578 0.2611 0.2643 0.2676 0.2709 0.2743 -0.6 0.2776 0.2810 0.2843 0.2877 0.2912 0.2946 0.2981 0.3015 0.3050 0.3085 0.3121 0.3156 0.3192 0.3228 0.3264 0.3300 0.3336 0.3372 0.3409 0.3446 03483 0.3520 0.3557 0.3594 0.3632 0.3669 0.3707 0.3745 0.3783 0.3821 -0.3 0.3859 0.3897 0.3936 0.3974 0.4013 0.4052 0.4090 0.4129 0.4168 0.4207 -0.2 0.4247 0.4286 0.4325 0.4364 0.4404 0.4443 0.4483 0.4522 0.4562 0.4602 -0.1 0.4641 0.4681 0.4721 0.4761 0,4801 0.4840 0.48:80 0.4920 0.4960 0.5000 -0.0 For z S -3.90, the areas are 0.0000 to four decimal places.