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expected proportion is 16.7 % e an integer or a decimal Do not round) our sample, we find 18.6% of the families have three or more children. What is the probablity of a proportion mate of 16.7% in the population is correct? probability is 0.0207 nd to four decimal places as needed)

expected proportion is 16.7 % e an integer or a decimal Do not round) our sample, we find 18.6% of the families have three or more children. What is the probablity of a proportion mate of 16.7% in the population is correct? probability is 0.0207 nd to four decimal places as needed)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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According to a national census for a particular country, the proportion of families with three or more children (aged less than 25) declined from 42% in 1961 to 19% in 2011. Suppose we estimate that this proportion is 16.7% this year In order to market products to large families, we randomly select 1600 families in this nation for a survey. Complete parts (a) through (d) below a) What is the expected proportion of families with three or more children in our sample? The expected proportion is 16.7 %. (Type an integer or a decimal Do not round) b) In our sample, we find 18.6% of the families have three or more children. What is the probability of a proportion as high as 18.6% or higher in the sample f our estimate of 16.7% in the population is correct? The probability is 0.0207 (Round to four decimal places as needed) c) Comment on whether the survey result casts doubt on the population estimate. does cast doubt on the estimate Since the probability is very small (less than 0 05), it d) Suppose we had surveyed a random sample of only 100 families instead of 1600 and had gotten the same result 18 6% dhe sample had three or more children. Comment on whether this result from a smaller survey casts doubt on the population estimate cast doubt on the estimate The probability is Since this (Round to four decimal places as needed) very small (less than 0.05), it
Transcribed Image Text:According to a national census for a particular country, the proportion of families with three or more children (aged less than 25) declined from 42% in 1961 to 19% in 2011. Suppose we estimate that this proportion is 16.7% this year In order to market products to large families, we randomly select 1600 families in this nation for a survey. Complete parts (a) through (d) below a) What is the expected proportion of families with three or more children in our sample? The expected proportion is 16.7 %. (Type an integer or a decimal Do not round) b) In our sample, we find 18.6% of the families have three or more children. What is the probability of a proportion as high as 18.6% or higher in the sample f our estimate of 16.7% in the population is correct? The probability is 0.0207 (Round to four decimal places as needed) c) Comment on whether the survey result casts doubt on the population estimate. does cast doubt on the estimate Since the probability is very small (less than 0 05), it d) Suppose we had surveyed a random sample of only 100 families instead of 1600 and had gotten the same result 18 6% dhe sample had three or more children. Comment on whether this result from a smaller survey casts doubt on the population estimate cast doubt on the estimate The probability is Since this (Round to four decimal places as needed) very small (less than 0.05), it
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