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A political party wishes to estimate the proportion of voters that support the party in a particular state. The party will poll a random sample of n voters from the state. Which of the following is likely to result in the largest margin of error?

a. n = 500, confidence level 95%
b. n = 500, confidence level = 99%
c. n = 500, confidence level = 90%
d. n= 300, confidence level 95%
e. n = 300, confidence level = 90%

Respuesta :

okpalawalter8

Answer:

Option D

Step-by-step explanation:

Generally the equation for Margin of Error is mathematically given by

[tex]M.E=Z*sqrt{\frac{p*(1-p)}{n}}[/tex]

Condition for Largest M.E

n has to be smallest and Z value has to be largest.

Where

From options

Smallest [tex]n=300[/tex]

Largest Z value respects to [tex]\alpha=95\%[/tex]

Therefore

n= 300, confidence level 95%

Option D

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