0.1398

0.2843

0.4315

0.5685

0.7157

$$p_a-p_b$$

$$\frac{p_a}{50}-\frac{p_b}{100}$$

$$\frac{p_a\left(1-p_a\right)}{50}+\frac{p_b\left(1-p_b\right)}{100}$$

$$\sqrt{\frac{p_a\left(1-p_a\right)}{50}+\frac{p_b\left(1-p_b\right)}{100}}$$

Days

Dollars

Companies

Workers

There are no units associated with the mean of a sampling distribution

In repeated random sampling with the same sample size,  $$p_R^{\Delta}-p_S^{\Delta}$$   will be contained in the interval approximately 95 percent of the time.

In repeated random sampling with the same sample size,  $$p_R$$   will be contained in the interval approximately 95 percent of the time.

In repeated random sampling with the same sample size,  $$p_R^{\Delta}$$   will be contained in the interval approximately 95 percent of the time.

The probability is 0.95 that the difference in the sample proportions  $$p_R^{\Delta}-p_S^{\Delta}$$  is between −0.05 and 0.15.

In repeated random sampling with the same sample size, approximately 95 percent of the intervals will capture the difference in population proportions,  $$p_R-p_S$$  .

The difference in the percents of fans of a professional football team between men and women is 17%.

There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team.

We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%.

We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%.

We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.

The difference between the population proportion of adults who prefer pop music and the population proportion of students who prefer pop music is approximately 0.022.

The difference between the population proportion of adults who prefer pop music and the population proportion of students who prefer pop music is 0.

For all random samples of 200 adults from the city and 200 students from the city, the difference between the sample proportion of adults who prefer pop music and the sample proportion of students who prefer pop music will be 0.022.

For all random samples of 200 adults from the city and 200 students from the city, the difference between the sample proportion of adults who prefer pop music and the sample proportion of students who prefer pop music will be 0.

For all random samples of 200 adults from the city and 200 students from the city, the sample proportion of adults who prefer pop music will be greater than the sample proportion of students who prefer pop music in about 2.2% of samples.