working mother does not hurt children.  Of the 566 female respondents who answered the question, 40% strongly agreed that a working mother does not hurt children. What is the 90% confidence interval for this statistic?

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Though 70% of women with children younger than 18 years participate in the labor force, society still upholds the stay-at-home mother as the traditional model. Some believe that employment distracts mothers from their parenting role, affecting the well-being of children. In the GSS 2014, respondents were asked to indicate their level of agreement to the statement, “A working mother hurts children.” Of the 435 male respondents who answered the question, 18% strongly agreed that a working mother does not hurt children. 

Of the 566 female respondents who answered the question, 40% strongly agreed that a working mother does not hurt children. What is the 90% confidence interval for this statistic? 

Expert Solution
Step 1

Given :

n1 = 435

n2 = 566

confidence level,c=0.9

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