Tests for one and two proportions

STA 121. Practice questions, not past papers.

Lessons

• Test a single population proportion
• Compare two independent proportions

Practice questions

1. For a one-proportion z test under H0:p=p0, use which variance factor?

   Statistics study edition practice item Q274; Source: T116-120

2. Under H0:p1=p2, the pooled proportion equals what?

   Statistics study edition practice item Q275; Source: T116-120

3. For an interval on p1-p2, which SE is normally used in the elementary formula?

   Statistics study edition practice item Q276; Source: T116-120

4. A difference from 0.03 to 0.08 is what size in percentage points?

   Statistics study edition practice item Q277; Source: T116-120

5. There are 65 successes in 100 independent trials. Under H0:p=0.60, find the one-proportion z statistic. Give the value to 4 decimal places.

   Statistics study edition practice item Q278; Source: T118-119

6. Pool 30 successes out of 1000 with 100 successes out of 1200 under equality of proportions. Find the pooled proportion. Give the value to 4 decimal places.

   Statistics study edition practice item Q279; Source: T117, T120

7. A random sample has 600 category successes out of 800. Under H0:p=0.80, find the signed one-proportion z statistic. Give the value to 4 decimal places.

   Statistics study edition practice item Q280; Source: T120 exercise 5

8. In a one-proportion null test, the standard error uses the _____ proportion p0.

   Statistics study edition practice item F091; Source: T116-120

9. Under equality of two proportions, successes are pooled across both _____.

   Statistics study edition practice item F092; Source: T116-120

Topic gap report