The graph pictured here summarizes some of the results of a poll about parenting conducted by thePew Research Center. The report states, “the error attributable to sampling is plus or minus 3.9% at the 95% level of ” For the population of all mothers employed full time, calculate a confidence interval to estimate the proportion of the who feel that they spend too little time with their children. b)Interpret the confidence interval: For the population of all mothers employed full time, we are 95% confident that between and feel they spend too little time with their children. c.)In order to be confident that the sample represents the population without bias, we must have a random sample. Read the following excerpt from the Pew Research “The analysis in this report is based on telephone interviews conducted from Sept. 15 to Oct. 13, 2015, among a nationally representative sample of 1,807 parents, 18 years of age or older, with children under 18, living in all 50 U.S. states and the District of Columbia. A combination of landline and cell phone random digit dial (RDD) samples was used. Interviews were conducted in English and Spanish. The survey results pictured here came from the responses of 870 mothers.” Is this a random sample? How do you know?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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Question

The graph pictured here summarizes some of the results of a poll about parenting conducted by thePew Research Center.

The report states, “the error attributable to sampling is plus or minus 3.9% at the 95% level of ”
For the population of all mothers employed full time, calculate a confidence interval to estimate the proportion of the who feel that they spend too little time with their children.

b)Interpret the confidence interval:

For the population of all mothers employed full time, we are 95% confident that between and feel they spend too little time with their children.

c.)In order to be confident that the sample represents the population without bias, we must have a random sample. Read the following excerpt from the Pew Research

“The analysis in this report is based on telephone interviews conducted from Sept. 15 to Oct. 13, 2015, among a nationally representative sample of 1,807 parents, 18 years of age or older, with children under 18, living in all 50 U.S. states and the District of Columbia. A combination of landline and cell phone random digit dial (RDD) samples was used. Interviews were conducted in English and Spanish. The survey results pictured here came from the responses of 870 mothers.”

Is this a random sample? How do you know?