ALL ABOUT STATS AND PROB

Exercise 1.4: Determining the Sample Size and Units in the Sample Instructions: Read each problem carefully. Use the appropriate formula and show pur stepby-step solution to in solving the given problems. 1. potential advertisers value television's well- known Nielsen ratings as a barometer of a TV shows popularity anwng viewers. The Nielsen rating of a certain TV program is an estimate of the proportion of viewers, expressed as a percentage, who watch the program on a given night. How large a sample Is needed if we wish to be 90% confident that our estimate of the true proportion is correct within 0.01 ? 2. A researcher wants asamplesizeof 230 to be drawn from a population which is divided into strata of size NI 4 8m, N2 7 and N3 3 200. Determine the sample size for the different strata by adopting proportional allation. 3. A population is divided into three strata so that NI = 10 000, N2 = 4 0(X) and N3 = 6 Respective standard deviations are 01 = 5, 02 = 10 and 03 = 20. How should a sample size of n = 1020 be allocated to the three strata if the researcher opted for optimum allocation. 4. A researcher aims to determine the health status of the senior citizen in a certain municipality. The municipality has 60 barangays with a total of 9 108 senior citizens in the population. A. Determine the rd, 4" and Th units in the sample using the table of random numbers given below. 2573769019 9235745106 0863571450 7043824098 4310671362 Scanned with CamScanner