National College Health Assessment Survey The following exercise uses data on college students collected from the American College Health Association-National College Health Assessment Survey1 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. Emotionally Abusive Relationships 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 the table below. Male Female Total No 8352 16,276 24,628 Yes 593 2034 2627 Total 8945 18,310 27,255 1www.acha-ncha.org/docs/ACHA-NCHA-II_ReferenceGroup_DataReport_Fall2011.pdf. (a) What percent of all respondents have been in an emotionally abusive relationship? Round your answer to one decimal place. % the absolute tolerance is +/-0.1 (b) What percent of the people who have been in an emotionally abusive relationship are male? Round your answer to one decimal place. % the absolute tolerance is +/-0.1 (c) What percent of males have been in an emotionally abusive relationship? Round your answer to one decimal place. % the absolute tolerance is +/-0.1 (d) What percent of females have been in an emotionally abusive relationship? Round your answer to one decimal place. % the absolute tolerance is +/-0.1

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National College Health Assessment Survey

The following exercise uses data on college students collected from the American College Health Association-National College Health Assessment Survey¹ 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.

Emotionally Abusive Relationships

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 the table below.

	Male	Female	Total
No	8352	16,276	24,628
Yes	593	2034	2627
Total	8945	18,310	27,255

¹www.acha-ncha.org/docs/ACHA-NCHA-II_ReferenceGroup_DataReport_Fall2011.pdf.

(a) What percent of all respondents have been in an emotionally abusive relationship?

Round your answer to one decimal place.

%

the absolute tolerance is +/-0.1

(b) What percent of the people who have been in an emotionally abusive relationship are male?

Round your answer to one decimal place.

%

the absolute tolerance is +/-0.1

(d) What percent of females have been in an emotionally abusive relationship?

Round your answer to one decimal place.

%

the absolute tolerance is +/-0.1

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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