Math 130 Day 13 summary.pdf

Math 130 Day 13 summary.pdf - Introduction to Confidence...

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Introduction to Confidence Intervals Sec. 9.1: Building Confidence Intervals for a Population Proportion p
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Calculating Definition: Let Z be the random variable with the standard normal distribution. is the number on the Z -axis for which the area to its right (under the curve and about the Z -axis) is #. That is, . 𝑧 # 𝑧 # 𝑃 𝑍 > 𝑧 # = #
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Calculating Ex 1: Calculate 𝑧 # 𝑧 0.025 a) 𝑧 0.017 b) 𝑧 0.10 c) 𝑧 0.02 d) 𝑧 0.05 e) 𝑧 0.005 f) Answers: a) 1.96 b) 2.12 c) 1.28 d) 2.05 e) 1.645 f) 2.575
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Point Estimates vs. Interval Estimates Point Estimate Best point estimate of is Point estimates are bad because they are only 1 number estimates and almost always wrong Interval Estimate We want an interval estimate…a range of values so that our answer has a better chance of being correct Don’t want the interval to be too big (wide) Every interval estimate has a probability attached to it (called its confidence level). The interval is called a confidence interval The confidence level tells you the probability that the correct answer for is in your interval.
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