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Chapter 8 Estimating with Confidence.  A point estimator is a statistic that provides an estimate of a population parameter. The value of that statistic.

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Presentation on theme: "Chapter 8 Estimating with Confidence.  A point estimator is a statistic that provides an estimate of a population parameter. The value of that statistic."— Presentation transcript:

1 Chapter 8 Estimating with Confidence

2  A point estimator is a statistic that provides an estimate of a population parameter. The value of that statistic from a sample is call a point estimate.  Ideally, a point estimate is our “best guess” at the value of an unknown parameter.  Example: Tonya wants to estimate what proportion of students are going to attend the prom. She interviews a SRS of 50 of the 750 students at her school and finds that 36 of them are going to the prom. What is the point estimator? Definitions

3 To say that we are 95% confident is shorthand for “95% of all possible samples of a given size from this population will result in an interval that captures the unknown parameter.” Confidence Interval

4 Confidence Intervals

5  Conditions for constructing confidence interval:  Random  Normal  Independent – Individual observations are independent. (sample size n should be no more that 10% of the pop) Conditions

6 8.2 Proportions

7

8  So z* for our problem is _____  Confidence interval: Keep going…

9 Sample Sizes

10  Determine the sample size needed to estimate p within 0.03 with 95% confidence. Example

11  Pg. 481 (16, 17, 21-24)  Pg. 496 (27-33, 40, 42, 44-47, 49-52) Homework


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