SOLUTION: You need to estimate the proportion of United States citizens that support an increase in off-shore drilling. You take a random sample of 1851 citizens and find that 651 support an

Algebra ->  Probability-and-statistics -> SOLUTION: You need to estimate the proportion of United States citizens that support an increase in off-shore drilling. You take a random sample of 1851 citizens and find that 651 support an      Log On


   

Question 1168029: You need to estimate the proportion of United States citizens that support an increase in off-shore drilling. You take a random sample of 1851 citizens and find that 651 support an increase in off-shore drilling. Construct a 95% confidence interval for the population proportion.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
p hat=651/1851=0.352
95% half-interval is z(0.975)*sqrt (phat*(1-phat)/n)
=1.96* sqrt (0.352*0.648/1851)
=+/-0.0218 or 0.22
(0.330, 0.374)
Use 0.373, with rounding, rather than 0.370.