According to Gallup, a person who is fully engaged in the workplace is both emotionally and behaviorally connected to their job and company. Suppose that we calculate a 95% confidence interval for the difference in population proportion of Millennials who are fully engaged with their jobs and the population proportion of Gen X'ers who are fully engaged with their jobs and come up with the interval (-0.07, 0.01).

1. True or false: A correct interpretation of this confidence interval is "We are 95% confident that the population proportion of Millennials who are fully engaged in the workplace is between 0.07 below and 0.01 above the population proportion of Gen X'ers who are fully engaged in the workplace."

2. True or false: Because more of the confidence interval is negative, the population proportion of Millennials who are fully engaged in the workplace is less than the population proportion of Gen X'ers are who are fully engaged in the workplace.

3. True or false: If we test the hypotheses H0: p1 = p2 versus Ha: p1 ≠ p2 we will reject the null hypothesis.