A survey of 353 working parents found 250 who said they spend too little time with their children because of work commitments. (a) What is the point estimate of the proportion of the population of working parents who feel they spend too little time with their children because of work commitments? (b) At 95% confidence, what is the margin of error? (c) What is the 95% confidence interval estimate of the population proportion of working parents who feel they spend too little time with their children because of work commitments?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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QUESTION 16

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A survey of 353 working parents found 250 who said they spend too little time with their children because of work commitments.
(a)
What is the point estimate of the proportion of the population of working parents who feel they spend too little time with their children because of work commitments?
(b)
At 95% confidence, what is the margin of error?
(c)
What is the 95% confidence interval estimate of the population proportion of working parents who feel they spend too little time with their children because of work commitments?
Step 1

(a)What is the point estimate of the proportion of the population of working parents who feel they spend too little time with their children because of work commitments?

A point estimate for the population proportion will be found using the sample data. A survey of 353 working parents was conducted and it was found that 250 said they spend too little time with their children because of work commitments.
The point estimate will represent the proportion of working parents who feel they spend too little time with their children. Use these values to find the sample proportion
p,
which will be used as a point estimate for the population proportion, rounding the result to four decimal places.
proportion  = 
spend too little time with children
total number of working adults surveyed
 
p  = 
 
353
 
   =   
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