Respuesta :
151 is required random sample
Margin of Error
The margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the result of a census of the entire population.
Given,
Margin of error, ME = 0.08
Confidence Interval, CI = 95%
Z Score against confidence interval = 1.96
We know that,
[tex]1.96\sqrt{\frac{(0.5)(0.5)}{n} }[/tex]≤ 0.08
From this determine n,
[tex]\sqrt{\frac{0.25}{n} }[/tex]≤ 0.040816
[tex]\frac{0.25}{n}[/tex]≤ 0.00166599
150.06≤n
That is 151 is required random sample.
Learn more about Margin of error here: https://brainly.com/question/18957303
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