A report described a survey of parents of children under the age of 18. Each person in a representative sample of 838 working fathers and a sample of 595 working mothers was asked if balancing the responsibilities of a job and a family was difficult. It was reported that 437 of the fathers surveyed and 364 of the mothers surveyed said that it was difficult. The two samples were independently selected and were thought to be representative. working fathers and mothers of children under 18 years old. USE SALT Use this information to calculate a 95% confidence interval estimate of the difference between the proportion of working fathers who find balancing work and family difficult, p₁, and this proportion for working mothers, P₂. (Use a statistical computer package to calculate the P-value. Use p₁ - P₂. Round your answers to three decimal places.) to Interpret the interval. O There is a 95% chance that the true difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and family difficult is in this interval. O We are 95% confident that, for working parents in the sample, the difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and family difficult is in this interval. O There is a 95% chance that the true difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and family difficult is not in this interval. O We are 95% confident that the true difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and family difficult is in this interval. O There is a 95% chance that, for working parents in the sample, the difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and family difficult is in this interval.
A report described a survey of parents of children under the age of 18. Each person in a representative sample of 838 working fathers and a sample of 595 working mothers was asked if balancing the responsibilities of a job and a family was difficult. It was reported that 437 of the fathers surveyed and 364 of the mothers surveyed said that it was difficult. The two samples were independently selected and were thought to be representative. working fathers and mothers of children under 18 years old. USE SALT Use this information to calculate a 95% confidence interval estimate of the difference between the proportion of working fathers who find balancing work and family difficult, p₁, and this proportion for working mothers, P₂. (Use a statistical computer package to calculate the P-value. Use p₁ - P₂. Round your answers to three decimal places.) to Interpret the interval. O There is a 95% chance that the true difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and family difficult is in this interval. O We are 95% confident that, for working parents in the sample, the difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and family difficult is in this interval. O There is a 95% chance that the true difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and family difficult is not in this interval. O We are 95% confident that the true difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and family difficult is in this interval. O There is a 95% chance that, for working parents in the sample, the difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and family difficult is in this interval.
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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Transcribed Image Text:A report described a survey of parents of children under the age of 18. Each person in a representative sample of 838 working fathers and a sample of 595 working mothers was asked if balancing the responsibilities of a job and a family was
difficult. It was reported that 437 of the fathers surveyed and 364 of the mothers surveyed said that it was difficult. The two samples were independently selected and were thought to be representative of working fathers and mothers of
children under 18 years old.
USE SALT
Use this information to calculate a 95% confidence interval estimate of the difference between the proportion of working fathers who find balancing work and family difficult, p₁, and this proportion for working mothers, P2. (Use a statistical
computer package to calculate the P-value. Use P₁ - P₂. Round your answers to three decimal places.)
to
Interpret the interval.
O There is a 95% chance that the true difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and family difficult is in this interval.
O We are 95% confident that, for working parents in the sample, the difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and
family difficult is in this interval.
O There is a 95% chance that the true difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and family difficult is not in this interval.
O We are 95% confident that the true difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and family difficult is in this interval.
O There is a 95% chance that, for working parents in the sample, the difference between the proportion of working fathers who find balancing work and family difficult and the proportion of working mothers who find balancing work and
family difficult is in this interval.
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