SOLUTION: A random sample of 1100 car owners in a particular city found 220 car owners who recieved a speeding ticket this year. Find a 95% confidence interval for the true percent of car ow

Question 1039096: A random sample of 1100 car owners in a particular city found 220 car owners who recieved a speeding ticket this year. Find a 95% confidence interval for the true percent of car owners in this city who recieved a speeding ticket this year. Express your results to the nearest hundredth of a percent.
Answer:

______ to ____%
Found 2 solutions by Boreal, stanbon:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
1 sample proportion
ci is 1.96 sqrt{p(1-p)/n}
1.96*sqrt (1/5)(4/5)/1100}; the sqrt term is 0.0121
the interval is 0.0236
The CI is 0.20+/-0.0236
(0.1764,0.2236)
(17.64%,22.36%)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A random sample of 1100 car owners in a particular city found 220 car owners who recieved a speeding ticket this year. Find a 95% confidence interval for the true percent of car owners in this city who recieved a speeding ticket this year. Express your results to the nearest hundredth of a percent.
------
p-hat = 220/1100 = 0.2
ME = 1.96*sqrt[0.2*0.8/1100] = 0.024
Answer:
0.2 - 0.024% < p < 0.2 + 0.024%
------
0.2024% < p < 0.2024%
============================
Cheers,
Stan H.
----------------
RELATED QUESTIONS
A random sample of 800 home owners in a particular city found 232 home owners who had a... (answered by ewatrrr)
A report states that 46% of car owners had a V8 engine. How large a sample is needed to... (answered by stanbon)
Find the probability of people who own both a car and a pet and another to calculate the... (answered by ikleyn)
a napa auto parts supplier wants information about how long car owners plan to keep... (answered by stanbon)
a sample of 80 car owners revealed that 24 owned station wagons and 62 owned cars which... (answered by Theo)
can you help me with this problem China is one of the biggest potential markets for US... (answered by josmiceli)
can someone please help me with this problem please.... China is one of the biggest... (answered by josgarithmetic)
Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A... (answered by Edwin McCravy,ewatrrr)
In a group of 50 car owners, 7 own hybrid cars. If one car owner is selected at random... (answered by stanbon)