Question: The pollsters randomly select 5 cities in Upstate New York and then randomly select one high school in each city.

The guidance office at each of the chosen schools is instructed to ask 100 randomly selected seniors what their current plans are, and to report the results back to the pollsters. The data collect from the 5 schools are summarized in the table.

Determine a 90% confidence interval for the true percentage of seniors planning to go to college this year. Explain carefully what your interval means.