Stressed Moms (Example 11, 12, 13, and 14) An April 2012 Gallup Poll of low-income showed that 54 % of stay-at-home moms experience stress, and 49 % of employed moms experience stress. All respondent had an annual household income of less than $36,000 . a. (Example 11) Can we conclude, on the basis of these two percentages alone, that in the United States, a greater percentage of stay-at-home moms than of employed moms experienced stress? Explain. b. (Example 12) Assume that the sampling was done with 1000 stay-at-home moms and 1000 working moms. Report the numbers you would need to enter into StatCrunch as shown in the figure. Let sample I be the stay-at-home moms. c. (Example 13) check that conditions for using the two-proportion confidence interval hold. Note that polls such as Gallup do not ask poll questions of related. For example, they do not ask questions of both husbands and wives. d. (Example 14) Find a 95% confidence interval for the difference in proportions (stay-at-home minus working), and interpret the interval.
Stressed Moms (Example 11, 12, 13, and 14) An April 2012 Gallup Poll of low-income showed that 54 % of stay-at-home moms experience stress, and 49 % of employed moms experience stress. All respondent had an annual household income of less than $36,000 . a. (Example 11) Can we conclude, on the basis of these two percentages alone, that in the United States, a greater percentage of stay-at-home moms than of employed moms experienced stress? Explain. b. (Example 12) Assume that the sampling was done with 1000 stay-at-home moms and 1000 working moms. Report the numbers you would need to enter into StatCrunch as shown in the figure. Let sample I be the stay-at-home moms. c. (Example 13) check that conditions for using the two-proportion confidence interval hold. Note that polls such as Gallup do not ask poll questions of related. For example, they do not ask questions of both husbands and wives. d. (Example 14) Find a 95% confidence interval for the difference in proportions (stay-at-home minus working), and interpret the interval.
Solution Summary: The author explains that it cannot be concluded that a greater percentage of stay-at-home moms experience stress more than the employed mom.
Stressed Moms (Example 11, 12, 13, and 14) An April 2012 Gallup Poll of low-income showed that
54
%
of stay-at-home moms experience stress, and
49
%
of employed moms experience stress. All respondent had an annual household income of less than
$36,000
.
a. (Example 11) Can we conclude, on the basis of these two percentages alone, that in the United States, a greater percentage of stay-at-home moms than of employed moms experienced stress? Explain.
b. (Example 12) Assume that the sampling was done with 1000 stay-at-home moms and 1000 working moms. Report the numbers you would need to enter into StatCrunch as shown in the figure. Let sample I be the stay-at-home moms.
c. (Example 13) check that conditions for using the two-proportion confidence interval hold. Note that polls such as Gallup do not ask poll questions of related. For example, they do not ask questions of both husbands and wives.
d. (Example 14) Find a
95%
confidence interval for the difference in proportions (stay-at-home minus working), and interpret the interval.
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