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Fulsome University has 16,059 students. In a sample of 200 students, 12 were born outside the United States. Construct a 95 percent confidence interval for the true population proportion. How large a sample is needed to estimate the true proportion of Fulsome students who were born outside the United States with an error of ± 2.5 percent and 95 percent confidence? Show your work and explain fully.
Defensiveness
A psychological reaction characterized by a refusal to accept or consider criticism or uncomfortable truths about oneself, often as a mechanism to protect self-esteem.
Endogamy
The practice of marrying within a specific social group, caste, or ethnic group, rejecting those from others as inappropriate for marriage or other close relationships.
Legal Barriers
Laws or regulations that constitute obstacles to certain actions or changes.
Family Size
The total number of members in a family unit, including parents and children.
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