A. Estimation estimators and confidence intervals) (10.1, 10.2) 5. Large sample confidence interval for a difference between two proportions 7. Confidence interval for a difference between two means (unpaired and paired) B. Tests of significance (10.1, 10.2) 3. Large sample test for a difference between two proportions 5. Test for a difference between two means (unpaired and paired) Key Vocabulary Inference about proportions Two-sample z interval for p1-p2 (2-PropZInt) Random: The data are producd by a random sample of size n1 from An approximate level C confidence interval for population 1 and a random sample is of size n2 from population 2 or by two groups of size n1 and n2 in a randomized experiment. The counts of Normal: “successes” z* is the standard Normal critical value. and in each sample or “failures” -- n1p1, n1(1-p1), n2p2, are at least 10. – Independent: Both the samples or groups themselves and the individual observations in each sample or group are independent. When sampling without replacement, check that the two populations are at least 10 times as large as the corresponding samples (the 10% condition). The data are producd Test Two-sample z test for p1-p2 (2-PropZTest) Random: by a random sample of size n1 Significance tests of H0: p1 p2 = 0 use the pooled from population 1 and a – (combined) sample proportion random sample of size n2 from population 2 or by two groups of size n1 and n2 in a randomized experiment. Normal: The counts of The two-sample z test for p1-p2 uses the test statistic and in “successes” “failures” each sample or group -- n1p1, n1(1-p1), n2p2, n2(1-p2) are – at least 10. with P-values calculated from the standard Normal Independent: Observations distribution. and independent samples or groups; 10% condition if sampling without replacement
A. Estimation estimators and confidence intervals) (10.1, 10.2) 5. Large sample confidence interval for a difference between two proportions 7. Confidence interval for a difference between two means (unpaired and paired) B. Tests of significance (10.1, 10.2) 3. Large sample test for a difference between two proportions 5. Test for a difference between two means (unpaired and paired) Key Vocabulary Inference about proportions Two-sample z interval for p1-p2 (2-PropZInt) An approximate level C confidence interval for is z* is the standard Normal critical value. Random: The data are producd by a random sample of size n1 from population 1 and a random sample of size n2 from population 2 or by two groups of size n1 and n2 in a randomized experiment. Normal: The counts of “successes” and “failures” in each sample or -- n1p1, n1(1-p1), n2p2, – are at least 10. Independent: Both the samples or groups themselves and the individual observations in each sample or group are independent. When sampling without replacement, check that the two populations are at least 10 times as large as the corresponding samples (the 10% condition). Test Two-sample z test for p1-p2 (2-PropZTest) Significance tests of H0: p1 – p2 = 0 use the pooled (combined) sample proportion The two-sample z test for p1-p2 uses the test statistic with P-values calculated from the standard Normal distribution. Random: The data are producd by a random sample of size n1 from population 1 and a random sample of size n2 from population 2 or by two groups of size n1 and n2 in a randomized experiment. Normal: The counts of “successes” and “failures” in each sample or group -- n1p1, n1(1-p1), n2p2, n2(1-p2) – are at least 10. Independent: Observations and independent samples or groups; 10% condition if sampling without replacement
notes_to_accompany_ap_stats_s2018_010718.docx