1 answer

US-352 Quiz 5 13 14 15 16 17 2 3 4 5 6 78 910 The...

Question:

US-352 Quiz 5 13 14 15 16 17 2 3 4 5 6 78 910 The county clerk wants to estimate the proportion of retired voters who will need special election facilities. The clerk wants to be 95% (Z-1.96) confident that the sample proportion will only differ from the true population proportion by 0.07. Assume p 0.5. How large a sample must be taken to assure these conditions are met? 203 196 186 149 s Previous SkipI Save & N
US-352 Quiz 5 13 14 15 16 17 2 3 4 5 6 78 910 The county clerk wants to estimate the proportion of retired voters who will need special election facilities. The clerk wants to be 95% (Z-1.96) confident that the sample proportion will only differ from the true population proportion by 0.07. Assume p 0.5. How large a sample must be taken to assure these conditions are met? 203 196 186 149 s Previous SkipI Save & N

Answers

Solution :

196

Explanation :

mathrm{n=rac{Z_{rac{alpha }{2}}^{2}*pi *(1-pi )}{e^{2}}}

= rac{left(1.96 ight)^2left(0.5 ight)left(1-0.5 ight)}{left(0.07 ight)^2}

= rac{left(1.96 ight)^2left(0.5 ight)left(0.5 ight)}{left(0.07 ight)^2}

= rac{left(1.96 ight)^2left(0.25 ight)}{left(0.07 ight)^2}

3.8416(0.25) (0.07)

= rac{0.9604}{left(0.07 ight)^2}

0.9604 0.0049

=196

.

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