Question 5: This part of the assignment will ask you to calculate confidence intervals for the following two sets of data. You can find the formula from the lecture, textbook, and exam review sheet. (Notes: The data come from the Spring 2020 National College Health Assessment III for University of North Dakota; N=868 UND students). This part of the assignment requires a few tasks:

1. After calculating the confidence intervals, please provide answers that go out two digits after the decimal (e.g., 67.11%)

2. Please remember that the answers will also be in percentages and not proportions because we're trying to estimate percentages of the population of UND students, even though you calculate in portions, and put them into the cells that correspond with the categories (e.g., what percentage is below 67.1% for no or low psychological distress and what percentage is above it, which sets the confidence interval range?). Remember, the 67.1% is a point estimate and we want to know the confidence interval around it. So, because there are three categories for women and three categories for men, you will have six confidence intervals in total (which means you will have six percentages for the low end of the range and six percentages for the high end of the range). You can put all 12 percentages in the table.

3. Please pick one category for women and one category for men and interpret the confidence intervals for each of those categories.

Women Low end % for 95%(5%) probability|High end % for 95%(5%) probability Non-Specific Psychological Distress|Percent (%) No or low psychological distress 67.1 Moderate psychological distress 18.0 Serious psychological distress 14.9 Men Low end % for 95%(5%) probability|High end % for 95%(5%) probability Non-Specific Psychological Distress|Percent (%) No or low psychological distress 72.2 Moderate psychological distress 19.5 Serious psychological distress 8.3