Suppose a poll conducted at a certain college during their most recent spring semester asked595college students whether or not a privately owned dining hall should be allowed on campus. The response "Yes, it should" was selected by35% of the respondents.

Suppose the researchers who conducted the poll reported "For results based on the total college population, once can say with 95% confidence that the margin of sampling error is no greater than5percentage points."

Verify this statement by finding the conservative margin of error for a 95% confidence interval for this sample. (Round your answer to three decimal places.)

Using the conservative margin of error found in question 13, give the lower bound of a 95% confidence interval for the percentage of all college student at this school who said the dining hall should be allow. (Round your answers to one decimal place.)

Using the conservative margin of error found in question 13, give the upper bound of a 95% confidence interval for the percentage of all college student at this school who said the dining hall should be allow. (Round your answers to one decimal place.)