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According to a recent U.S. Bureau of Labor Statistics report, the proportion of married couples with children in which both parents work outside the home is 59%. You select an SRS of 50 married couples with children and let ô = the sample proportion of couples in which both parents work outside the home. Describe the shape of the sampling distribution of p. Justify your answer. ОО Because np = 50(0.59) = 29.5 ≥ 10 and n(1− p) = 50(1-0.59) = 20.5 ≥ 10, the sampling distribution of p is approximately Normal. The sampling distribution is two columns where the proportion of married couples with children both working outside the home is 0.59 and proportion of other married couples is 0.41. Because n > 30, the sampling distribution of is approximately Normal. The sampling distribution of p is not approximately Normal because n(1− p) is not at least 10. Because the sample size is less than 10% of the population size, this sampling distribution of ô can be approximated by the Normal model.

According to a recent U.S. Bureau of Labor Statistics report, the proportion of married couples with children in which both parents work outside the home is 59%. You select an SRS of 50 married couples with children and let ô = the sample proportion of couples in which both parents work outside the home. Describe the shape of the sampling distribution of p. Justify your answer. ОО Because np = 50(0.59) = 29.5 ≥ 10 and n(1− p) = 50(1-0.59) = 20.5 ≥ 10, the sampling distribution of p is approximately Normal. The sampling distribution is two columns where the proportion of married couples with children both working outside the home is 0.59 and proportion of other married couples is 0.41. Because n > 30, the sampling distribution of is approximately Normal. The sampling distribution of p is not approximately Normal because n(1− p) is not at least 10. Because the sample size is less than 10% of the population size, this sampling distribution of ô can be approximated by the Normal model.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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According to a recent U.S. Bureau of Labor Statistics report, the proportion of married couples with children in which both parents work outside the home is 59%. You select an SRS of 50 married couples with children and let p = the sample proportion of couples in which both parents work outside the home. Describe the shape of the sampling distribution of p. Justify your answer. Because np = 50(0.59) = 29.5 ≥ 10 and n(1− p) : = 50(1-0.59) = 20.5 ≥ 10, the sampling distribution of p is approximately Normal. The sampling distribution is two columns where the proportion of married couples with children both working outside the home is 0.59 and proportion of other married couples is 0.41. Because n > 30, the sampling distribution of is approximately Normal. The sampling distribution of ô is not approximately Normal because n(1-p) is not at least 10. Because the sample size is less than 10% of the population size, this sampling distribution of ô can be approximated by the Normal model.
Transcribed Image Text:According to a recent U.S. Bureau of Labor Statistics report, the proportion of married couples with children in which both parents work outside the home is 59%. You select an SRS of 50 married couples with children and let p = the sample proportion of couples in which both parents work outside the home. Describe the shape of the sampling distribution of p. Justify your answer. Because np = 50(0.59) = 29.5 ≥ 10 and n(1− p) : = 50(1-0.59) = 20.5 ≥ 10, the sampling distribution of p is approximately Normal. The sampling distribution is two columns where the proportion of married couples with children both working outside the home is 0.59 and proportion of other married couples is 0.41. Because n > 30, the sampling distribution of is approximately Normal. The sampling distribution of ô is not approximately Normal because n(1-p) is not at least 10. Because the sample size is less than 10% of the population size, this sampling distribution of ô can be approximated by the Normal model.
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