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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, o334.

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, o334.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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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 Si Pi 1 120 18 35.0 4.0 0.5 0.2 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 LO CO 23
Transcribed Image 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 Si Pi 1 120 18 35.0 4.0 0.5 0.2 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 LO CO 23
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