Math 203_Lecture 10

# Math 203_Lecture 10 - Principles of Statistics 1 Lecture 10...

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Unformatted text preview: Principles of Statistics 1 Lecture 10: Math 203 Abbas Khalili Department of Mathematics and Statistics McGill University May 17, 2011 Principles of Statistics 1 Lecture 10: Math 203 – p. 1/ ? ? Confidence interval for a population proportion: p ≤ p ≤ 1 Principles of Statistics 1 Lecture 10: Math 203 – p. 2/ ? ? Population proportion For qualitative variables, the population proportion is a parameter of interest. Principles of Statistics 1 Lecture 10: Math 203 – p. 3/ ? ? Population proportion For qualitative variables, the population proportion is a parameter of interest. proportion of cancer patients who respond to a certain cancer treatment. Principles of Statistics 1 Lecture 10: Math 203 – p. 3/ ? ? Population proportion For qualitative variables, the population proportion is a parameter of interest. proportion of cancer patients who respond to a certain cancer treatment. proportion of people who will vote for certain candidate Principles of Statistics 1 Lecture 10: Math 203 – p. 3/ ? ? Population proportion For qualitative variables, the population proportion is a parameter of interest. proportion of cancer patients who respond to a certain cancer treatment. proportion of people who will vote for certain candidate proportion of stars of a certain age that will burn out Principles of Statistics 1 Lecture 10: Math 203 – p. 3/ ? ? Population proportion For qualitative variables, the population proportion is a parameter of interest. proportion of cancer patients who respond to a certain cancer treatment. proportion of people who will vote for certain candidate proportion of stars of a certain age that will burn out In each of these examples, we are in fact dealing with a random sample of Bernoulli random variables from a population under study. The probability of success is the parameter of interest in these applications. Principles of Statistics 1 Lecture 10: Math 203 – p. 3/ ? ? Population proportion For qualitative variables, the population proportion is a parameter of interest. proportion of cancer patients who respond to a certain cancer treatment. proportion of people who will vote for certain candidate proportion of stars of a certain age that will burn out In each of these examples, we are in fact dealing with a random sample of Bernoulli random variables from a population under study. The probability of success is the parameter of interest in these applications. e.g. from a random sample of the cancer patients, we record whether each patient respond to the treatment or not. Principles of Statistics 1 Lecture 10: Math 203 – p. 3/ ? ? Population proportion Therefore, we have a random sample X 1 ,X 2 ,... ,X n where each X i ∼ Ber ( p ) , for i = 1 , 2 ,... ,n ....
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Math 203_Lecture 10 - Principles of Statistics 1 Lecture 10...

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