Question
A manager at a drug manufacturing wants to estimate what proportion of the adult population of India has high blood pressure. He wants to be 99% sure that the error of his estimate will not exceed 0.02. Census reports indicate that about 0.20 of all adults have high blood pressure. What sample size shall he take?
Answer :
Word Count : 584
To determine the sample size for estimating a population proportion with a specified margin of error and confidence level, we use the standard formula from statistics for proportions: $$ n = \frac{Z^2 \cdot p \cdot (1-p)}{E^2} $$ Where: * $n$ = required sample size * $Z$ = Z-score corresponding to the desired confidence level * $p$ = estimated population proportion * $E$ = maximum allowable error (margin of error) From the question: * Desired confidence level = 99% → Z-score ($Z$) = 2.576 (from standard Z-tables) * Estimated population proportion ($p$) = 0.20 * Margin of error ($E$) = 0.02 Step 1: Plug values into the formula $$ n = \frac{(2.576)^2 \cdot 0.20 \cdot (1-0.20)}{(0.02)^2} $$ ___ __________ ___ ____ _______ ____ ____ _______.
__________ ____ _________ _____ _________ ______ ________ ________ ___ ______.
______ _____ ______ _________ _________ _______ ____ ___ _________ _________ _______ __________.
___ _______ __________ ___ __________ ________ ___ __________.
_____ __________ _______ ___ _______ ________.
___ _____ __________ __________ ___ _____ ___ __________ _____.
___ __________ ________ _____ ______ ________.
_______ ______ _______ ____ ____ ________ ___ ________ ____.
________ ____ _____ _________ ______ _________ ___ ___ _______ ___.
_________ _______ ___ _____ ____ ________ ______ _________ __________.
_________ __________ __________ __________ _________ _________ _________ ___ _____ _______ ____ _________.
________ ________ _________ _____ ________ __________ ____ __________ _______.
____ _______ _____ ___ ______.
___ _____ ________ _______ ______ ______.
__________ ___ ______ ________ _________ ___ ________ _________ _____.
____ _____ ____ ________ __________ __________ _________ _____ ________ ______.
________ ____ _____ ____ __________ _______ ___ ___ _____ _____ _______ _________.
________ ____ ___ ____ _________ ____ ________ _______.
______ __________ ___ ________ ______ ______ _____ ______ _________ _____.
_________ _________ _____ __________ ___.
_________ _____ ______ _______ _______ ___ _______ ________ ______ ____.
_________ _______ _____ ___ ______ ______ ___ ________.
_______ __________ _____ ________ ________ _________ _________.
_________ ___ _____ _________ ___ _______ ____ ______ __________ _____.
________ ___ __________ ________ ___ ______ _____ ____.
_________ _______ __________ ____ _______.
__________ ___ __________ _____ _______ _______ ________ _____ ____ ________ ______ __________.
________ ________ ___ __________ ____ ___ _________ ________.
_____ ______ ________ _________ ________ __________ ________ _______ _______ _________ _________ ____.
___ _________ _________ ___ ___ ________ _______ ______.
_______ ________ _____ ___ _________ ____ ____ ___ ____.
____ ____ ____ __________ _____ ______ ______ _____.
________ ___ _____ __________ _________ _____ ____ _______ ____ ___ __________.
__________ _____ _________ ________ __________ _________ _________ __________ ____ __________.
________ ________ _________ ________ __________ ______ _________ _________ ________ _________.
__________ _____ ______ ___ ______ ______ _________ ________ ____ ________ _____ _________.
___ __________ __________ ________ _________ ______ ___ ___.
_____ ______ ___ __________ ________ __________ ________ _______ ______ ____.
__________ ___ _______ _______ ________ ___ _____ _______ _________ ___.
_________ _______ ___ _____ ______ _____ ______.
___ _______ __________ _____ ____ _________.
______ __________ ________ ___ _______ ___ ____ __________.
_________ ________ ____ __________ _______ _______ ____.
__________ _______ __________ ________ ________ _____ _________ _________ _______ _________.
_____ ________ __________ ________ _____ ____ ___ _____ _______ ________ ____ ____.
______ _______ ___ _____ __________ ________ ___ ______ ____.
________ _______ ________ ____ ______ _________ _____ __________ ______ __________ ___.
____ ______ _________ _______ ______.
____ ______ ________ _______ _____ ___ ____ ________.
________ _____ __________ ____ ________ ____ ______ _________ ___ ______ ____.
_________ _______ ___ ___ ____ __________ ______ _________.
_______ ___ __________ _________ ________ __________ ________ ______ _____.
__________ ______ __________ ______ ______.
______ _______ _________.
Get Full Answer on WhatsApp
To determine the sample size for estimating a population proportion with a specified margin of error and confidence level, we use the standard formula from statistics for proportions: $$ n = \frac{Z^2 \cdot p \cdot (1-p)}{E^2} $$ Where: * $n$ = required sample size * $Z$ = Z-score corresponding to the desired confidence level * $p$ = estimated population proportion * $E$ = maximum allowable error (margin of error) From the question: * Desired confidence level = 99% → Z-score ($Z$) = 2.576 (from standard Z-tables) * Estimated population proportion ($p$) = 0.20 * Margin of error ($E$) = 0.02 Step 1: Plug values into the formula $$ n = \frac{(2.576)^2 \cdot 0.20 \cdot (1-0.20)}{(0.02)^2} $$ ___ __________ ___ ____ _______ ____ ____ _______.
__________ ____ _________ _____ _________ ______ ________ ________ ___ ______.
______ _____ ______ _________ _________ _______ ____ ___ _________ _________ _______ __________.
___ _______ __________ ___ __________ ________ ___ __________.
_____ __________ _______ ___ _______ ________.
___ _____ __________ __________ ___ _____ ___ __________ _____.
___ __________ ________ _____ ______ ________.
_______ ______ _______ ____ ____ ________ ___ ________ ____.
________ ____ _____ _________ ______ _________ ___ ___ _______ ___.
_________ _______ ___ _____ ____ ________ ______ _________ __________.
_________ __________ __________ __________ _________ _________ _________ ___ _____ _______ ____ _________.
________ ________ _________ _____ ________ __________ ____ __________ _______.
____ _______ _____ ___ ______.
___ _____ ________ _______ ______ ______.
__________ ___ ______ ________ _________ ___ ________ _________ _____.
____ _____ ____ ________ __________ __________ _________ _____ ________ ______.
________ ____ _____ ____ __________ _______ ___ ___ _____ _____ _______ _________.
________ ____ ___ ____ _________ ____ ________ _______.
______ __________ ___ ________ ______ ______ _____ ______ _________ _____.
_________ _________ _____ __________ ___.
_________ _____ ______ _______ _______ ___ _______ ________ ______ ____.
_________ _______ _____ ___ ______ ______ ___ ________.
_______ __________ _____ ________ ________ _________ _________.
_________ ___ _____ _________ ___ _______ ____ ______ __________ _____.
________ ___ __________ ________ ___ ______ _____ ____.
_________ _______ __________ ____ _______.
__________ ___ __________ _____ _______ _______ ________ _____ ____ ________ ______ __________.
________ ________ ___ __________ ____ ___ _________ ________.
_____ ______ ________ _________ ________ __________ ________ _______ _______ _________ _________ ____.
___ _________ _________ ___ ___ ________ _______ ______.
_______ ________ _____ ___ _________ ____ ____ ___ ____.
____ ____ ____ __________ _____ ______ ______ _____.
________ ___ _____ __________ _________ _____ ____ _______ ____ ___ __________.
__________ _____ _________ ________ __________ _________ _________ __________ ____ __________.
________ ________ _________ ________ __________ ______ _________ _________ ________ _________.
__________ _____ ______ ___ ______ ______ _________ ________ ____ ________ _____ _________.
___ __________ __________ ________ _________ ______ ___ ___.
_____ ______ ___ __________ ________ __________ ________ _______ ______ ____.
__________ ___ _______ _______ ________ ___ _____ _______ _________ ___.
_________ _______ ___ _____ ______ _____ ______.
___ _______ __________ _____ ____ _________.
______ __________ ________ ___ _______ ___ ____ __________.
_________ ________ ____ __________ _______ _______ ____.
__________ _______ __________ ________ ________ _____ _________ _________ _______ _________.
_____ ________ __________ ________ _____ ____ ___ _____ _______ ________ ____ ____.
______ _______ ___ _____ __________ ________ ___ ______ ____.
________ _______ ________ ____ ______ _________ _____ __________ ______ __________ ___.
____ ______ _________ _______ ______.
____ ______ ________ _______ _____ ___ ____ ________.
________ _____ __________ ____ ________ ____ ______ _________ ___ ______ ____.
_________ _______ ___ ___ ____ __________ ______ _________.
_______ ___ __________ _________ ________ __________ ________ ______ _____.
__________ ______ __________ ______ ______.
______ _______ _________.
Get Full Answer on WhatsApp
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★