Answer:
95 percent confidence interval
[0.208,0.29166]
Step-by-step explanation:
First we identificate the sample proportion p = 27 /108, and we find the 95 percent confidence interval for P(population proportion) in this context the parking violations that have prior unpaid parking tickets.
Then α = 0.05 and 1 - α/2 = 0.975
Thus [tex]Z_{0.975} = 1.96[/tex]
The 95 percent confidence interval is
[ p ± 1.96 [tex]\sqrt{\frac{p(1-p)}{n} }[/tex] ]
[0.25 ± 1.96 [tex]\sqrt{\frac{0.25*0.75}{108} }[/tex] ]
[0.208,0.29166]