y.stchas.e xv 0175N syllabus(SU18).docx:M/X McGraw-Hill Connect Math x www-awh.c

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y.stchas.e xv 0175N syllabus(SU18).docx:M/X McGraw-Hill Connect Math x www-awh.connectmath.com/alekscgi/x/lsl.exe/1o_u-lgNslkr7j8P3jH-IQgk5Jxx3p4G4FLlenl7Ud A Step-By-Step Appr MATH Hosted by ALEKS Corp Quiz # 5(Ch.7) Previous 12 4 5 6 7 Next 3 Question 8 of 9 (1 point) A federal report indicated that 20% of children under age 6 live in poverty in Pennsylvania, an increase over previous years. How large a sample is needed to estimate the true proportion of children under age 6 living in poverty in Pennsylvania within 3% with 99% confidence? Round the intermediate calculations to three decimal places and round the final answer to the nearest whole number. Source: Federal Interagency Forum on Child and Family Statistics, Washington Observer-Reporter. n 5 Print whole essignment

Explanation / Answer

Lets see.

We have been given margin of error = 3%

The formula is : MOE = .03 = Z*sqrt(p*p'/n)

So, .03 = 2.575*sqrt(.2*.8/n)

n = .2*.8/(.03/2.575)^2 = 1178.78 or 1179

So, the sample size hsould be 1179

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