The probability which motor cycle owns for sample is 0.0001
What is Sample ?
A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.
Given,
p= 14% or 0.14
p bar = 20% or 0.20
n=500
The mean of the sample distribution of p bar is equal to the population proportion p
µp = p =0.14
The standard deviation of sample distribution of p bar is
σp = [tex]\sqrt{p(1-p}/n[/tex]
= [tex]\sqrt{0.14(1-0.14}/500[/tex]
= 0.0155177
the z score is the value decreased by the mean, divided by the standard deviation:
z =x- µ/σ
= 0.20-.014/0.0155177
=3.87
so the corresponding probability will be
P(p>20%) = P(z>3.87) = P(Z<-3.87) = 0.0001
The likelihood that a motorcycle is present in the sample is 0.0001.
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