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To determine the required sample size for estimating the proportion of adults in India who have high blood pressure, we must use the sample size formula for estimating a population proportion with a specified level of confidence and margin of error. The formula is: $$ n = \left( \frac{Z^2 \cdot p \cdot (1 - p)}{E^2} \right) $$ Where: * $n$ = required sample size * $Z$ = Z-score corresponding to the desired confidence level * $p$ = estimated population proportion * $E$ = desired margin of error ### Step 1: Identify the known values * Confidence level = 99% * From Z-tables, the Z-value corresponding to 99% confidence level is approximately 2.576 * Estimated proportion, $p = 0.20$ (as per census reports) * Desired margin of error, $E = 0.02$ ### Step 2: Plug the values into the formula $$ n = \frac{(2.576)^2 \cdot 0.20 \cdot (1 - 0.20)}{(0.02)^2} $$ $$ n = \frac{6.635 \cdot 0.20 \cdot 0.80}{0.0004} $$ $$ n = \frac{6.635 \cdot 0.16}{0.0004} $$ $$ n = \frac{1.0616}{0.0004} $$ $$ n = 2654 $$ ________ _____ _____ ________ ________ ____ ________ ________ _______.
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