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Unit 7 Sampling Distributions 7.2 The Sampling Distribution of the Sample Proportion.

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Presentation on theme: "Unit 7 Sampling Distributions 7.2 The Sampling Distribution of the Sample Proportion."— Presentation transcript:

1 Unit 7 Sampling Distributions 7.2 The Sampling Distribution of the Sample Proportion

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4 p = 0.10 n = 10 500 samples Not roughly symmetric!

5 p = 0.10 n = 20 500 samples Still not symmetric.

6 p = 0.10 n = 40 500 samples Approaching symmetric.

7 p = 0.10 n = 100 500 samples Pretty symmetric

8 p = 0.22 n = 30 2000 samples Pretty symmetric. But n =30? No, the number of samples is not relevant!

9 p = 0.22 n = 30 2000 samples Pretty symmetric. And maybe something more!

10 p = 0.22 n = 30 2000 samples Pretty symmetric. And maybe something more!

11 How do we get the shape of the sampling distribution to resemble a Normal distribution?

12 It depends on BOTH the value of p and the size of the sample n.

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19 Unit 7 Sampling Distributions 7.2B The Sampling Distribution of the Sample Proportion

20 https://www.youtube.com/watch?v=LT XTeAt2mpg

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24 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?

25 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?

26 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?

27 Example 4: http://www.youtube.com/watch?v=fn7-JZq0Yxs Do you have ESP?

28 Zener Cards

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