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.

(c) Suppose the pollster interviewed 765 people and found that 407 of the respondents were affiliated with Party A. Can the pollster conclude at \( 5\% \) significance level that Party A has more than \( 50\% \) of support from the public? Explain your answer.