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Published byDeborah Newton Modified over 9 years ago
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Unit 7 Sampling Distributions 7.2 The Sampling Distribution of the Sample Proportion
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p = 0.10 n = 10 500 samples Not roughly symmetric!
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p = 0.10 n = 20 500 samples Still not symmetric.
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p = 0.10 n = 40 500 samples Approaching symmetric.
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p = 0.10 n = 100 500 samples Pretty symmetric
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p = 0.22 n = 30 2000 samples Pretty symmetric. But n =30? No, the number of samples is not relevant!
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p = 0.22 n = 30 2000 samples Pretty symmetric. And maybe something more!
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p = 0.22 n = 30 2000 samples Pretty symmetric. And maybe something more!
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How do we get the shape of the sampling distribution to resemble a Normal distribution?
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It depends on BOTH the value of p and the size of the sample n.
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Unit 7 Sampling Distributions 7.2B The Sampling Distribution of the Sample Proportion
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https://www.youtube.com/watch?v=LT XTeAt2mpg
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Example 1: Hepatitis occurs in 7% of all patients who receive blood transfusions during heart surgery (as of 2003). Suppose that only 6 of 200 random patients contract hepatitis after such surgery. How unusual is this?
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Example 2: Suppose 20% of the subscribers of a cable company watch a certain shopping channel. A survey of 125 subscribers will be taken. If greater than 25% of the sample indicates that they watch this channel then the cable company will keep it. What is the approx probability that the cable company will keep the channel?
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Example 3: Suppose that a particular candidate for public office is in fact favored by 52% of all registered voters in the district. What is the probability that a SRS of size 400 will produce a result within 3 percentage points of the true value of support for this candidate?
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Example 4: http://www.youtube.com/watch?v=fn7-JZq0Yxs Do you have ESP?
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Zener Cards
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