題組內容

II. (30%) A pollster plans to randomly select people and ask about their party affiliation. The respondent can choose to be identified with one of the four political parties: Party A, B, C, or D. The pollster is interested to know \( p_A \), the share of population that are leaning toward Party A.

(d) Suppose the pollster wants to estimate \( p_A \) within 0.03 margin (i.e. \( \pm 3\% \)) with \( 95\% \) confidence. How many people should the pollster interview?