6. The student in number 5 also believes that the majority of those with no high
ID: 3233312 • Letter: 6
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6. The student in number 5 also believes that the majority of those with no high-school diploma are similar in terms of their nationality, native language, and disability status. The student, therefore, believes that it is the responsibility of these sub-groups of the population and their advocates to address the working poor issue themselves. Use the key rules about samples and extrapolation when making inferences from correlations to write a socially responsible and statistically appropriate response regarding the validity of the student’s beliefs. Rev 10/ 2016 Confidence Intervals During the recent recovery from the Great Recession of 2007-2009, the economic situation for many families has improved. However, in 2011 the recovery was slow and it was uncertain as to how much had really changed on the national level. To estimate the population parameter of the percent of lowincome working families, a representative simple random sample could be used to calculate a point estimate and a confidence interval.
State -- working poor% --No HS diploma %
Alabama 37.3% (15.3%)
Alaska 25.9% 8.6%
Arizona 38.9% 14.8 %
Arkansas 41.8% 14 %
California 34.3% 17.6 %
Colorado 27.6% 10.1%
Connecticut 21.1% 9.5%
Delaware 27.8% 11.9
District of Columbia 23.2% 10.8%
Florida 37.3% 13.1%
Georgia 36.6% 14.9%
Hawaii 25.8% 7.2%
Idaho 38.6% 10.7%
Illinois 30.4% 11.5
Indiana 31.9% 12.2%
Iowa 28.8% 8.1%
Kansas 32% 9.7%
Kentucky 34.1% 13.6%
Louisana 36.3% 16.1%
Maine 30.4% 7.1%
Maryland 19.5% 9.7%
Massachusetts 20.1% 9.1%
Michigan 31.6% 10%
Minnesota 24.2% 7.3%
Mississippi 43.6% 17%
Missouri 32.7% 11.1%
Montana 36% 7%
Nebraska 31.1% 8.7%
Nevada 37.4% 16.6%
New Hampshire 19.7% 7.3%
New Jersey 21.2% 10.1%
New Mexico 43% 16.2%
New York 30.2% 13%
North Carolina 36.2% 13.6%
North Dakota 27.2% 5.9%
Ohio 31.8% 10.3%
Oklahoma 37.4% 13.2%
Oregon 33.9% 10.8%
Pennsylvania 26% 9.4%
Rhode Island 26.9% 12%
South Carolina 38.3% 14.2%
South Dakota 31% 8.7%
Tennessee 36.6%, 12.7%
Texas 38.3%, 17.8%
Utah 32.3%, 9.9%
Vermont 26.2%, 6.6%
Virginia 23.3%, 10.2%
Washington 26.4%. 10.2%
West Virgina 36.1%, 12.9%
Wisconsin 28.7% , 8.5%
Wyoming 28.1% , 8%
Explanation / Answer
The mean is the point estimator of the population therefore the POint esrtimator for working poor population is 31.27%
The point estimate for No HS diploma is 11.27%
The condifence interval for working poor population is
31.29
The 95% confidencethat the working poor lie in the interval of (31.25%,31.29%)
Now we compute the confidence interval for No HS Diploma as follows
The 95% confidencethat the No HS Diploma lie in the interval of (11.26%,11.28%)
Data Population Standard Deviation 0.06339 Sample Mean 31.27 Sample Size 51 Confidence Level 95% Intermediate Calculations Standard Error of the Mean 0.0089 Z Value -1.9600 Interval Half Width 0.0174 Confidence Interval Interval Lower Limit 31.25 Interval Upper Limit31.29
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