MATHEMATICAL ASSOCIATION OF A T3zKUpkNOJEL 8/ 13 Chapter 8: Problem 13 (1 point)

Question

MATHEMATICAL ASSOCIATION OF A T3zKUpkNOJEL 8/ 13 Chapter 8: Problem 13 (1 point) A confidence interval for the true percent owners in hundredth of a percent. Your answer should be expressed as a percentage in the form xx.xx random sample of 600 car owners na particular city found 162 car owner s who received a speeding ticket this year Find a 95% this city who received a speeding ticket this year. Express your results to the nearest li to % Note: You can earn partial credit on this You have atte this problem 0 times You have unlimited attempts remaining Enali Instrucdor re to search

Explanation / Answer

p =162/600 =0.27

N is 600

z for 95% confidence is 1.96

thus the lower bound is p-z*sqrt(p*(1-p)/N)= 0.27-1.96*sqrt(0.27*(1-0.27)/600)=0.2345

upper bound is p+z*sqrt(p*(1-p)/N)= 0.27+1.96*sqrt(0.27*(1-0.27)/600)=0.3055

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