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A polling official would like to investigate whether the proportion of women candidates is lower in a Republican-leaning state. To study this further, the official
A polling official would like to investigate whether the proportion of women candidates is lower in a Republican-leaning state. To study this further, the official randomly samples 209 people currently running for elected office in a state that generally votes for Republican candidates and 211 people currently running for elected office in another state that generally votes for Democratic candidates. The data from the study are presented in the table below. Let p 1 be the proportion of candidates running in a Republican-leaning state who are women and p 2 be the proportion of candidates running in a Democratic-leaning state who are women. Candidates in a Republican-leaning state Candidates in a Democratic-leaning state Number who are women 33 49 Sample size 209 211 Assume the conditions for the hypothesis test are satisfied. Is there sufficient evidence at = 0.05 to show the proportion of women candidates running in a Republic-leaning state program is less than in a Democratic-leaning state? First, identify the null and alternative hypotheses and state the critical value(s). If there are two critical values, use . Provide your answer below: Null hypothesis: $p_1$ $p_2$ Alternative hypothesis: $p_1$ $p_2$ Critical value(s) =
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