4. (20 points) At Albion, it is assumed that 40% of the E&M department's internships are given to the Gerstacker Institu
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4. (20 points) At Albion, it is assumed that 40% of the E&M department's internships are given to the Gerstacker Institu
4. (20 points) At Albion, it is assumed that 40% of the E&M department's internships are given to the Gerstacker Institute's students. A student of the E&M department at Albion College believes that the assumed knowledge is not true. A random sample of 40 students who got an internship is taken, and 23 students were part of the Gerstacker Institute. a. (5 points) State the null and alternative hypotheses. b. (10 points) Compute the test statistic and p-value for the test. c. (5 points) Can we infer at the 5% significance level that the 40% of the E&M department's internships are given to the Gerstacker Institute's students?
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