(2) We expect that the margin of error is not greater than 0.02. How many people should be surveyed? (95% confidence interval) (10%)

5. One survey of education level in Taipei showed that 33 persons are elementary school, 44 persons are junior high school, 89 persons are senior high school, 14 persons are undergraduate and 20 persons are graduate. In Taiwan, the survey of education level showed that \(10.2\%\) of population is elementary school, \(12.3\%\) of population is junior high school, \(57.9\%\) of population is senior high school, \(7\%\) of population is undergraduate and \(12.6\%\) of population is graduate. Is the education level in Taipei significantly different from the education level in Taiwan? (95% confidence interval) (20%)

(2) We expect that the margin of error is not greater than 0.02. How many people should be surveyed? (95% confidence interval) (10%)

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