Estelle McCarthy, a candidate for state office in New Jersey, has been advised that she must get at least 65% of the union vote in her state. A recent political poll of likely voters included 800 union-member respondents, and 60% of them said they intended to vote for Ms. McCarthy. Based on the survey, construct and interpret the 95% confidence interval for the population proportion of likely-voter union members who intend to vote for Ms. McCarthy. Is the 65% level of support within the confidence interval? Given your answer to the preceding question, comment on the possibility that Ms. McCarthy might not succeed in obtaining the level of union support she needs.
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