Answer :
The probability that the sample proportion will be GREATER than 0.03 = 0.9996
The standard deviation is defined ?
The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.
Given that,
The actual ratio is 0.04. What is the likelihood that a sample proportion of 259 will differ from the population proportion by more than 0.03?
Suppose the true proportion is 0.04 .
true proportion = p = 0.04
q = 1 - p = 1 - 0.04 = 0.96
n = 259
Standard deviation = [tex]\sqrt{p*q/n}[/tex] = .0121
the probability that the sample proportion will be GREATER than 0.03 =
[tex]p(p > 0.03)[/tex] = (z >5.785)
= 0.9996
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