Answer
$σ_{p̂}=0.0165$
Work Step by Step
Change $p$ by $p̂$ in the given formula:
$σ_{p̂}=\sqrt {\frac{p̂(1-p̂)}{n-1}.(\frac{N-n}{N})}=\sqrt {\frac{0.82(1-0.82)}{500-1}.(\frac{6502-500}{6502})}=0.0165$
Statistics: Informed Decisions Using Data (4th Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0321757270
ISBN 13:
978-0-32175-727-2
Chapter 8 - Section 8.2 - Assess Your Understanding - Applying the Concepts - Page 420: 26b
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