Posted by **Rachna** on Wednesday, December 28, 2011 at 6:07pm.

Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly sample 400 state residents and will then compute the proportion in the sample that support a property tax increase.

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

(Hint: Use the sampling distribution of the sample proportion in this case.)