In 2014, the Center for Disease Control and Prevention (CDC) published results from their National Health Interview Survey about circulatory diseases among American adults based on numerous characteristics. The table displays the percentage of adults in four age groups who have been diagnosed with heart disease and the sample sizes for each group. Age (years) Percentage with heart disease Sample size 18–44 4.3%  112,149,000 45–64 12.0%  82,605,000 65–74 24.6%  26,362,000 75 and over 35.0%  18,573,000 What is the standard error (SE) and the margin of error (?) for a 95% confidence interval for the difference in proportion of adults ages 18–44 with heart disease and adults ages 65–74 with heart disease? Please give each of your answers with six decimal places of precision.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.