Math Vocab

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Across
  1. 2. The claim that we are trying to find evidence for in a significance test.
  2. 6. Success rate of the method for calculating the confidence interval
  3. 7. An alternative hypothesis that states that a parameter is larger than the null hypothesis value or that states that the parameter is smaller than the null value.
  4. 9. When the standard deviation of a statistic is estimated from data, the result is the standard error of the statistic.
  5. 14. Fixed value α that we use as a cutoff for deciding whether an observed result is too unlikely to happen by chance alone when the null hypothesis is true. The significance level gives the probability of a Type I error.
  6. 15. Used for means
  7. 16. Multiplier that makes the interval wide enough to have the stated capture rate.
  8. 18. When sampling without replacement, check that the population is at least 10 times as large as the sample.
  9. 19. The alternative hypothesis is two-sided if it states that the parameter is different from the null value (it could be either smaller or larger).
  10. 20. The sample is large enough to satisfy np0 ≥ 10 and n(1 − p0) ≥ 10 (that is, the expected counts of successes and failures are both at least 10).
  11. 21. The data were produced by a well-designed random sample or randomized experiment.
Down
  1. 1. The difference between the point estimate and the true parameter value will be less than the margin of error in C% of all samples, where C is the confidence level.
  2. 3. The test Used for proportions
  3. 4. Specific value of a point estimator from a sample.
  4. 5. The probability, computed assuming H0 is true, that the statistic would take a value as extreme as or more extreme than the one actually observed, in the direction specified by Ha.
  5. 8. Approximately Normal if the samples are large enough that n1p1, n1(1 − p1), n2p2, and n2 (1 − p2) are all at least 10.
  6. 10. Draw an SRS of size n from a large population that has a Normal distribution with mean μ and standard deviation σ.
  7. 11. If the observed result is too unlikely to occur just by chance when the null hypothesis is true, we can reject H0 and say that there is convincing evidence for Ha.
  8. 12. If the observed result is not very unlikely to occur when the null hypothesis is true, we should fail to reject H0 and say that we do not have convincing evidence for Ha
  9. 13. Claim we weight evidence against in a significance test.
  10. 17. The mean is p1 − p2.