9. One-sample Normal Tests

Topics and Notes

1. Hypothesis testing about normal population means.
   • a. Critical value method (revisited): 6 step procedure
   • b. p-value method: Definition of p-value - related to the tail area of normal and or t density curve
   •   ■ Right-tailed test: p-value is the area to the right of the test statistic
   •   ■ Left-tailed test: p-value is the area to the left of the test statistic
   •   ■ Two-tailed test: p-value is double the small tail areas defined by the test statistic.
2. Hypothesis testing for proportion
• a. Assumpations: np ≥ 5 and n(1-p) ≥ 5.
• b. $TS = (\hat{p} - p_0 )/\sqrt{p_0(1-p_0)/n}$ is approximately normally distribute: TS → N(0, 1)
• c. Both critical and p-value methods are good for testing hypothesis on proportion.
3. Lecture Note
• Normal tests for population mean and proportions HTML PDF

Practice and Interactive Apps

1. Practice exercises #09 WEB LINK
2. [Optional]Read sections 9.1-9.2 of Navidi's textbook
3. Interactive Statistics Learning Apps
   • a. Normal Tests for Population Means INTERACTIVE APPS
   • b. Normal Tests for Population Proportions INTERACTIVE APPS