{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lect21_L6_L7_handout

# Lect21_L6_L7_handout - lecture 21 Hypothesis Testing III...

This preview shows pages 1–5. Sign up to view the full content.

lecture 21, Hypothesis Testing III z Tests about a Population Mean: σ Known Review: Testing a “Greater Than” Alternative Review: Testing a “Less Than” Alternative Critical Value Rule Testing a “Not Equal To” Alternative p -value Approach A brief summary The Effect of Sample Size t Tests about a Population Mean: σ Unknown Hypothesis Tests about a Population Proportion lecture 21, Hypothesis Testing III Outline 1 z Tests about a Population Mean: σ Known Review: Testing a “Greater Than” Alternative Review: Testing a “Less Than” Alternative Testing a “Not Equal To” Alternative Critical Value Rule p -value Approach A brief summary 2 The Effect of Sample Size 3 t Tests about a Population Mean: σ Unknown 4 Hypothesis Tests about a Population Proportion

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
lecture 21, Hypothesis Testing III z Tests about a Population Mean: σ Known Review: Testing a “Greater Than” Alternative Review: Testing a “Less Than” Alternative Critical Value Rule Testing a “Not Equal To” Alternative p -value Approach A brief summary The Effect of Sample Size t Tests about a Population Mean: σ Unknown Hypothesis Tests about a Population Proportion lecture 21, Hypothesis Testing III z Tests about a Population Mean: σ Known Review: Steps of Hypothesis Testing 1. State the null and alternative hypotheses 2. Specify the significance level α 3. Select a test statistic Using a critical value rule: 4. Determine the critical value rule for deciding whether or not to reject H 0 . Use the specified α to find the critical value 5. Collect the sample data and calculate the value of the test statistic 6. Decide whether to reject H 0 by using the test statistic and the critical value rule Using a p-value: 4. Collect the sample data and compute the value of the test statistic 5. Calculate the p -value by using the test statistic value 6. Reject H 0 at level of significance α if the p - value is less than α 7. Interpret the statistical results in real-world terms and assess their practical importance
lecture 21, Hypothesis Testing III z Tests about a Population Mean: σ Known Review: Testing a “Greater Than” Alternative Review: Testing a “Less Than” Alternative Critical Value Rule Testing a “Not Equal To” Alternative p -value Approach A brief summary The Effect of Sample Size t Tests about a Population Mean: σ Unknown Hypothesis Tests about a Population Proportion lecture 21, Hypothesis Testing III z Tests about a Population Mean: σ Known Review: Testing a “Greater Than” Alternative Review: Testing a “Greater Than” Alternative Using Critical Value Rule H 0 : μ μ 0 versus H a : μ > μ 0 . Modified hypotheses H 0 : μ = μ 0 versus H a : μ > μ 0 . If the population is normal (or sample size is big) and σ is known, we can reject the null H 0 at the α level of significance ( probability of making Type I error equals α ) if and only if (i) the appropriate critical value rule holds: z := ¯ x - μ 0 σ/ n > z α (ii) or, equivalently, the p -value is less than the specified α : p := P ( Z z ) < α.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
lecture 21, Hypothesis
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 25

Lect21_L6_L7_handout - lecture 21 Hypothesis Testing III...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online