### All AP Statistics Resources

## Example Questions

### Example Question #1 : Confidence And Proportion

**Possible Answers:**

**Correct answer:**

### Example Question #2 : How To Find Confidence Intervals For A Difference Between Two Proportions

In a simple random sample of people, are left-handed. Find a confidence interval for the true proportion of left-handed people in the entire population.

**Possible Answers:**

The sample is not sufficiently large. A confidence interval cannot be used.

**Correct answer:**

Step 1: Determine the approporiate formula. In this case, the statistic is a proportion because the question says 261 people out of 1000 are left-handed. We want to use a confidence interval for proportions. The equation is

Step 2: , or the sample proportion is equal to

Step 3: The questions asks for a 95% confidence interval. You can assume a normal distribution because of the large sample size. Therefore, in a normal distribution, 95% of the data is contained within .

Step 4: Substitue all the values into the equation to get the answer.

### Example Question #1 : How To Find Confidence Intervals For A Proportion

A health insurance executive suspects that 50% of insurance applications are incomplete (i.e. critical data is missing from the application). He wants to gather a sample to estimate the true proportion. He wants to be within 5% of the true mean with 95% confidence.

What sample size does he need?

**Possible Answers:**

365

405

395

375

385

**Correct answer:**

385

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