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