Question

Use data on college students collected from the American College Health Association-National College Health Assessment survey \(^{18}\) conducted in Fall 2011 . The survey was administered at 44 colleges and universities representing a broad assortment of types of schools and representing all major regions of the country. At each school, the survey was administered to either all students or a random sample of students, and more than 27,000 students participated in the survey. Students in the ACHA-NCHA survey were asked, "Within the last 12 months, have you been in a relationship (meaning an intimate/coupled/partnered relationship) that was emotionally abusive?" The results are given in Table 2.12 . (a) What percent of all respondents have been in an emotionally abusive relationship? (b) What percent of the people who have been in an emotionally abusive relationship are male? (c) What percent of males have been in an emotionally abusive relationship? (d) What percent of females have been in an emotionally abusive relationship? Table 2.12 Have you been in an emotionally abusive relationship? $$\begin{array}{l|rr|r} \hline & \text { Male } & \text { Female } & \text { Total } \\ \hline \text { No } & 8352 & 16,276 & 24,628 \\ \text { Yes } & 593 & 2034 & 2627 \\ \hline \text { Total } & 8945 & 18,310 & 27,255 \\ \hline\end{array}$$

Short answer

a) 9.64% of all respondents have been in an emotionally abusive relationship. b) 22.57% of people who have been in an emotionally abusive relationship are male. c) 6.63% of males have been in an emotionally abusive relationship. d) 11.1% of females have been in an emotionally abusive relationship.

Step-by-step solution

Calculate the total percent of all respondents having been in an abusive relationship

First, we need to calculate what percent of all respondents have been in an emotionally abusive relationship. To do this, we will divide the total number of 'yes' responses (2627) by the overall total number of respondents (27,255). Multiply the result by 100 to convert it into a percentage. i.e., \((\frac{2627}{27255}) \times 100\)

Calculate the percent who are male among the emotionally abused

We also need to find out what percent of those who have been in an emotionally abusive relationship are male. To do this, we will divide the number of 'yes' responses from males (593) by the total number of 'yes' responses (2627). Multiply the result by 100 to convert it into a percentage. i.e., \((\frac{593}{2627}) \times 100\)

Calculate the percentage of males having faced emotional abuse

Next, we need to calculate the percent of males who have been in an emotionally abusive relationship. To do this, we will divide the number of 'yes' responses from males (593) by the total number of male respondents (8945). Multiply the result by 100 to convert it into a percentage. i.e., \((\frac{593}{8945}) \times 100\)

Calculate the percentage of females having faced emotional abuse

Lastly, we calculate the percent of females who have been in an emotionally abusive relationship. To do this, we will divide the number of 'yes' responses from females (2034) by the total number of female respondents (18,310). Multiply the result by 100 to convert it into a percentage. i.e., \((\frac{2034}{18310}) \times 100\)