One & Two Proportion Inference

Front

What happens to the confidence interval when the sample size decreases?

Back

It gets larger.

Front

What does the null hypothesis state in a two-proportion z-test?

Back

The proportions of two groups are equal.

Front

What can you conclude if the p-value is 0.03 at a 5% significance level?

Back

Reject the null hypothesis.

Front

How do you calculate the z-score in a one-proportion z-test?

Back

Use the formula: z = (p̂ - p0) / sqrt(p0(1-p0)/n), where p̂ is the sample proportion, p0 is the population proportion, and n is the sample size.

Front

What is the p-value range if the test statistic is 2.33 in a two-proportion z-test?

Back

Between 0.01 and 0.05.

Front

What is the power of a test?

Back

The probability of rejecting a false null hypothesis.

Front

What is a one-proportion z-test used for?

Back

To determine if the sample proportion is significantly different from a known population proportion.

Front

What is the significance level (alpha) in hypothesis testing?

Back

The probability of rejecting a true null hypothesis, commonly set at 0.05.

Front

What does a p-value indicate in hypothesis testing?

Back

The probability of observing the test results under the null hypothesis.

Front

What is the formula for the confidence interval for a proportion?

Back

CI = p̂ ± z*(sqrt(p̂(1-p̂)/n)), where z* is the z-score for the desired confidence level.