Login
📚 Python for Introductory Statistics: Lab Workbook
Chapters ▾
1. Introduction to Python2. Python List3. Python Syntax4. Python Loops5. Frequency Distributions and Graphs6. Measure of Center and Variation7. Measures of Position8 Discrete Probability Distributions9. Continuous Probability DistributionConfidence Intervals11. Hypothesis Testing12. Linear Regression and Correlation13. Analysis of Categorical Data14. Advanced Statistics TopicsLab AnswersReferencesAppendix 1Appendix 2: Random Integer GeneratorAppendix 3: FactorialsResources

Margin of Error for Confidence Interval

from scipy import stats

Mean μ with z distribution with confidence level C, (population) standard deviation std and sample size n:

E = (std/n**.5)*stats.norm.ppf(C+(1-C)/2,0,1)

Mean μ with t distribution with confidence level C, sample standard deviation std and sample size n:

E = (std/n**.5)*stats.t.ppf(C+(1-C)/2,0,1)

Proportion p with z distribution with confidence level C, sample proportion p and sample size n:

E = (p(p*(1-p)/n)**.5)*stats.norm.ppf(C+(1-C)/2,0,1)

Adapted from Python for Introductory Statistics: Student's Lab Workbook, by Simon Aman (Truman College, City Colleges of Chicago), licensed under CC BY 4.0. Changes were made: reformatted as an accessible XYZ web edition with live in-browser code cells. License: CC-BY-4.0.