The government is interested to estimate the proportion of families gathering in the weekends, in a city. The city is divided into three blocks. A stratified random sample of 60 households was...

Extracted text: The government is interested to estimate the proportion of families gathering in the weekends, in a city. The city is divided into three blocks. A stratified random sample of 60 households was selected proportionately from each block considering the blocks as strata. The summary data of the survey are presented in the following table. Stratu Ni m (i) |X; Mean S; Pi 1 120 18 35.0 4.0 0.5 О.2 0.9 130 15 20.0 5.0 180 27 30.0 6.0 25 i) Estimate the proportion of family gathering in the weekend, and obtain a 95% confidence interval of your estimate. Interpret the results. ii) Find the appropriate sample size and its allocation for estimating the total family gathering, with a bound of 50 points on the error of estimation. Assume that the stratum standard deviations are o1=8, 02=12 and , o3=4. LO NO Oold 23