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...

Extracted text: 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.) O It is certain that the resulting sample proportion will be within .04 of the true proportion. O There is roughly a 99.7% chance that the resulting sample proportion will be within .04 of the true proportion. O There is roughly a 95% chance that the resulting sample proportion will be within .04 of the true proportion. O There is roughly a 68% chance that the resulting sample proportion will be within .04 of the true proportion.