Researchers make a one-sample z interval to estimate the proportion of adults who would say they learned something new in the past month. Previous studies have suggested that about 40%, percent would answer "yes" to this question. The researchers plan on using a confidence level of 95%, percent, and they want the margin of error to be no more than ±5%percent.

If we assume p=0. 40 =what is the smallest sample size required to obtain the desired margin of error?