Based on a poll of 200 citizens, a community action group claims that 40% of the population is in favor of a curfew for children under 18 on weekday nights. A local parent group claims that the poll is not valid and that only 22% of the citizens favor a curfew.
To determine whether this sample supports the population proportion of 0.40, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.22. The minimum sample proportion from the simulation is 0.15, and the maximum sample proportion from the simulation is 0.27.
The margin of error of the population proportion is found using an estimate of the standard deviation.
What is the interval estimate of the true population proportion?
(0.06,0.38)
(0.18,0.26)
(0.14,0.30)
(0.16,0.28)
A recent poll of employees working for a national fast-food chain claims that 58% of its employees eat at the fast-food chain. A sample of 200 people shows that only 42% of the employees eat at the fast-food chain.
To determine whether this sample supports the population proportion of 0.58, a simulation of 200 trials is run, each with a sample size of 50 and a point estimate of 0.42. The minimum sample proportion from the simulation is 0.31, and the maximum sample proportion from the simulation is 0.53.
What is the margin of error of the population proportion using half the range?
±0.07
±0.11
±0.13
±0.21
