I. Proof of an assertion regarding a proportion:
1. The municipal government of a city uses two methods toregister properties. The first requires the owner to go in person.The second allows registration by mail. A sample of 50 of themethod I was taken, and 5 errors were found. In a sample of 75 ofmethod II, 10 errors were found. Test at a significance level of.15 that the personal method produces fewer errors than the mailmethod.
2. A pharmaceutical firm is testing two components to regulatethe pressure. The components were administered to two groups. Ingroup I, 71 of 100 patients managed to control their pressure. Ingroup II, 58 of 90 patients achieved the same. The company wants toprove at a level of significance of .05 that there is no differencein the effectiveness of the two drugs.
