Ch 10.1 Estimate Diff Between 2 Proportions

After completing the lesson, you should be able to state hypotheses and check conditions for what type of test?

• A) A significance test about a difference between two means

• B) Construct a confidence interval for a difference between two proportions

• C) Construct a significance test about a single mean

• D) Do a significance test about a single proportion

What should you be able to calculate after this lesson when performing a significance test about a difference between two proportions?

• A) Margin of error and confidence interval

• B) The standardized test statistic and R-value

• C) The standardized test statistic and P-value

• D) The mean difference and standard deviation

What process is used to perform a significance test about a difference between two proportions?

• A) The three-step process

• B) The four-step process

• C) The five-step process

• D) The six-step process

When comparing two proportions, the General Null Hypothesis (H₀) form is _?_

• H₀: p₁ = p₂

• H₀: p₁ - p₂ > 0

• H₀: p₁ - p₂ ≠ 0

• H₀: p₁ - p₂ = hypothesized value

What does the null hypothesis H₀: p₁ - p₂ = 0 imply?

• There is a hypothesized difference between the two proportions.

• There is no difference between the two population proportions.

• The first proportion is greater than the second.

• The second proportion is greater than the first.

The following is an equivalent form to the Null Hypothesis, H₀: p₁ - p₂ = 0.

• H₀: p₁ = p₂

• H₀: p₁ - p₂ > 0

• H₀: p₁ - p₂ ≠ 0

• H₀: p₁ - p₂ < 0

What does the alternative hypothesis Hₐ: p₁ - p₂ ≠ 0 suggest?

• There is no difference between the two population proportions.

• The first proportion is less than the second.

• There is a difference between the two population proportions.

• The first proportion is equal to the second.

What are the conditions for performing a significance test about (p₁ - p₂)?

• Random samples and large counts

• Independent samples and normal distribution

• Stratified samples and sufficient sample size

• Cluster samples and equal variances

What is the minimum count of "successes" and "failures" in each sample for constructing a confidence interval for (p₁ - p₂)?

• At least 5

• At least 10

• At least 15

• At least 20

What significance level is used in the study when comparing the proportion of

children who ate breakfast in two low-income elementary schools?

• 0.01

• 0.05

• 0.10

• 0.20