CI's and tests for ratio of two population variances, difference between two population proportions

16 important questions on CI's and tests for ratio of two population variances, difference between two population proportions

1. Hypothesis Test for p₁ – p₂

Answer:

2. Test Statistic for  p₁ – p₂ (h = 0)

Use pooled proportion

3. Test Statistic for  p₁ – p₂ (h ≠ 0)

use unpooled standard error
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5. Confidence Interval Proportion

NEVER USES POOLED PROPORTION

Q: When do you use pooled p̂?

A: Only in hypothesis test when h = 0.

Q: Standard error for CI of p₁ – p₂?

Answer:

Q: Z-statistic when h ≠ 0?

Answer:

1. Hypothesis Tests for Variance Ratio

Answer:

2. Test Statistic for Variance Ratio

Answer:

3. Degrees of Freedom for Variance Ratio

Answer:

4. Rejection Regions for Variance Ratio

Answer:

5. Confidence Interval for Variance Ratio

DF turn!

Q: Test statistic F for equal variances?

Answer:

Q: DF for variance ratio test?

A:
df₁ = n₁−1
df₂ = n₂−1

Q: When do we invert F critical values?

When testing the left tail or building a CI lower bound.

Q: CI for variance ratio?

Answer

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