A report described a survey of parents of children under the age of 18. Each person in a representative sample of 034 working fathers and a sample of 595 working mothers was asked balancing the responsiblites of a job and family was dificult. It was reported that 432 of the fathers surveyed and 300 of the mothers surveyed said that i was difficult. The two sampies were independently selected and were thought to be representative of working fathers and mothers of children under 18 years old. A USE SALT Use this infermation to calculate a 95% confidence interval estimate of the aiference between the proportion of working fathers who find balancing work and family difecuit, P. and this proportion for working mothers, (Use a statistical computer package to calculate the Pvalue. Use P- P Round your answers to three decimal places.) to Interpret the interval. O There is a 95% chance that the true diference between the preportion of working fathers who find balancing work and family dificult and the proportion of working mothers who find balancing work and family dficuit is in this interval. O We are 95% confident that the true efference between the propertion of working fathers whe find balancing work and family dificut and the proportion of working mothers who find balancing werk and family dificuit is in this interval O There is a 95% chance that, for working parents in the sample, the difference between the propertion of warking fathers who find balancing work and family dmcut and the propertion of working methers who find balancing work and family dificult is in this interval. O There is a 95% chance that the true difference between the proportien of working fathers who find balancing werk and family dificult and the proportion of working mothers who find balancing werk and family dimcult is not in this interval. We are 95% confident hat. for warking parents in the sample, the difference between the propertion of working fathers who find belancing work and family dificult and the proportion of working mathers who find balancing work family difficult isi s interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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A report described a survey of parents of children under the age of 18. Each person in a representative sample of 034 working fathers and a sample of S9s working mothers was asked balancing the responsiblities of a job and
a family was difficuit. It was reported that 432 of the fathers surveyed and 309 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.
A USE SALT
Use this infermation to calculate a 95% confidence interval estimate of the dference between the proportion of working fathers who find balancing work and femily difficuit, P. and this proportien for working mothers, Dg (Use
a statistical computer package to calculate the Pvalue. Use P- Pz Round your answers to three decimal places.)
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 dificult and the proportion of working mothers who find balancing work and family dficuit is in
this interval
O We are 95% confident that the true efference between the proportion ot working fathers who find balancing work and family difcut and the proportion of working mothers who find balancing werk and family dificuit is in
this interval.
O There is a 95% chance that, for working parents in the sample, the difference between the propertion of werking fathers who find balancing work and family dmeut and the proportion of working methers 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 werk and family dificult and the proportion of working mothers who find balancing work and family dificult is
not in this interval.
O We are 95% confident that, for working parents in the sample, the difference between the propertion of working fathers who find balancing work and family dificult and the proportion of working mothers who find balancing
work and family difficult is in this interval.
Transcribed Image Text:A report described a survey of parents of children under the age of 18. Each person in a representative sample of 034 working fathers and a sample of S9s working mothers was asked balancing the responsiblities of a job and a family was difficuit. It was reported that 432 of the fathers surveyed and 309 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. A USE SALT Use this infermation to calculate a 95% confidence interval estimate of the dference between the proportion of working fathers who find balancing work and femily difficuit, P. and this proportien for working mothers, Dg (Use a statistical computer package to calculate the Pvalue. Use P- Pz Round your answers to three decimal places.) 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 dificult and the proportion of working mothers who find balancing work and family dficuit is in this interval O We are 95% confident that the true efference between the proportion ot working fathers who find balancing work and family difcut and the proportion of working mothers who find balancing werk and family dificuit is in this interval. O There is a 95% chance that, for working parents in the sample, the difference between the propertion of werking fathers who find balancing work and family dmeut and the proportion of working methers 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 werk and family dificult and the proportion of working mothers who find balancing work and family dificult is not in this interval. O We are 95% confident that, for working parents in the sample, the difference between the propertion of working fathers who find balancing work and family dificult and the proportion of working mothers who find balancing work and family difficult is in this interval.
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