AP Statistics Unit 8

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point estimator

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11 Terms

1

point estimator

a statistic that provides an estimate of a population parameter

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2

confidence interval

an interval of plausible values for a parameter based on sample data (most common is 95%)

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3

confidence level C

the overall success rate of method used to calculate confidence interval - “we are C% confident that interval _ captures % of parameter.”

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4

margin of error

how far (at most) estimate is expected to vary from point estimator in C% confidence interval

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5

decreasing margin of error…

confidence level decreases; sample size increases

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6

critical value

a multiplier that makes interval wide enough to have the stated capture rate

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7

3 conditions for validity of confidence interval p…

  1. random sample

  2. large counts: np^ ≥ 100 & n(1-p^) ≥ 100

    1. 10%: n < 0.10N

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8

standard error

estimate of the standard deviation of a statistic via data

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9

confidence interval

point estimate ± margin of error OR statistic ± critical standard error

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10

confidence interval for p1-p2

statistic ± (critical value)(standard deviation of statistic)

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11

randomized comparative experiment

subjects are randomly assigned to different treatment groups, response variable is tested.

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