Question

Researchers contacted more than 25,000 Americans aged 24 years to see if they had finished high school; 84.9% of the 12,460 males and 88.1% of the 12,678 females indicated that they had high school diplomas.

1. Create a 95% confidence interval for the difference in graduation rates between males and females.
2. Interpret your confidence interval.
3. Does this provide strong evidence that girls are more likely than boys to complete high school? Explain.

b. Find one aspect of this week’s material that is relevant to college, career, or everyday life. Provide some detail on how it could be important.

Answer 1

The confidence interval is (-4.04%, -2.36%).

We are 95% confident that true e difference in graduation rates between males and females is lies in the above interval.

All values of confidence interval are negative and confidence interval does not contain zero so this provide strong evidence that girls are more likely than boys to complete high school.