Suppose we want to estimate p, the proportion of undergraduate students who cheat One strategy to estimate p is to sample n undergraduate students and ask each one the following question directly: Have you ever cheated in answering one of your class requirements (quizzes, exams, assignments, projects, etc.? Let Y₁, Y2,, Y₁ denote the "1/0" ("yes/no") responses. a. What is the distribution of Y₁, i= i=1,2,...,n? b. Based on your answer in (a), find the maximum likelihood estimator of p.

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Suppose we want to estimate p, the
proportion of undergraduate students who cheat.
One strategy to estimate p is to sample n undergraduate students and ask each one the following question
directly: Have you ever cheated in answering one of your class requirements (quizzes, exams, assignments,
projects, etc.? Let Y₁, Y₂,, Y, denote the "1/0" ("yes/no") responses.
a. What is the distribution of Y₁, i=1,2,...,n?
b. Based on your answer in (a), find the maximum likelihood estimator of p.
Transcribed Image Text:Suppose we want to estimate p, the proportion of undergraduate students who cheat. One strategy to estimate p is to sample n undergraduate students and ask each one the following question directly: Have you ever cheated in answering one of your class requirements (quizzes, exams, assignments, projects, etc.? Let Y₁, Y₂,, Y, denote the "1/0" ("yes/no") responses. a. What is the distribution of Y₁, i=1,2,...,n? b. Based on your answer in (a), find the maximum likelihood estimator of p.
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