Prior to graduation, a high school class was surveyed about...

Prior to graduation, a high school class was surveyed about its plans. The following table displays the results for white and minority students (the “Minority” group included African-American, Asian, Hispanic, and Native American students): (Table Cant Copy) a) What percent of the seniors are white? b) What percent of the seniors are planning to attend a 2-year college? c) What percent of the seniors are white and planning to attend a 2-year college? d) What percent of the white seniors are planning to at- tend a 2-year college? e) What percent of the seniors planning to attend a 2-year college are white?

Prior to graduation, a high school class was surveyed about its plans. The following table displays the results for white and minority students (the “Minority” group included African-American, Asian, Hispanic, and Native American students):

(Table Cant Copy)

a) What percent of the seniors are white?
b) What percent of the seniors are planning to attend a 2-year college?
c) What percent of the seniors are white and planning to attend a 2-year college?
d) What percent of the white seniors are planning to at- tend a 2-year college?
e) What percent of the seniors planning to attend a 2-year college are white?

Key Concepts

Two-Way Tables

A two-way table is a statistical tool used to display the frequency distribution of variables that have two different categorical dimensions. It facilitates analysis by summarizing data across two classifications, such as demographic group and college plans, allowing for the comparison of subgroups and the calculation of various percentages using row, column, and overall totals.

Marginal Percentages

Marginal percentages are calculated using the totals from one row or one column of a two-way table relative to the grand total. This concept allows us to understand the relative frequency or proportion of a broader category without conditioning on other variables.

Joint Percentages

Joint percentages refer to the calculation of the proportion of cases that fall into an intersection of two specific categories, for example, students that are both white and planning to attend a 2-year college. This is determined by dividing the count of the intersection by the overall total, highlighting the co-occurrence of two specific characteristics.

Conditional Percentages

Conditional percentages represent the proportion of a subgroup that meets a given criterion, such as the percentage of white seniors planning to attend a 2-year college. These percentages are calculated by dividing the subgroup count satisfying the condition by the total of the subgroup being conditioned on, which helps to understand relationships within a specific category.

Transcript

00:01 In question 23, we have a summary of the plans made by a high school class before graduation.

00:09 There are two columns representing the type of seniors where we have white seniors and minority seniors.

00:16 We have five rows displaying the different plants where we have four -year college plan, two -year college plan, the military plan, employment or other plans.

00:28 So in the first part of the question a, we're supposed to find what percent of the seniors are white? to determine the percent of seniors that are right, we need to use the total number of white seniors divided by the total number of seniors.

01:04 And in this case we have 268 white seniors divided by 325 seniors in total.

01:23 And so we multiply that by 100 % and we get 82 .5%.

01:36 So 82 .5 % of the seniors are white.

01:43 In part b, we're supposed to find out what percent of the seniors are planning to attend a two -year college.

01:59 And to do that, we need to get the total number of seniors planning for two years of college divided by the total number of seniors.

02:26 And in this case, we'll have the total number of seniors planning to attend a two -year college as 42 divided by the total number of seniors, which is 325 times 100%.

02:43 And that gives us 12 .9%.

02:49 So 12 .9 % of the seniors are planning to attend a two -year college in part c.

03:03 You're supposed to find what percent of the seniors are white and planning to attend a two -year college.

03:12 So the numerator will be the total number of white seniors planning to attend a two -year college program divided by the total number of seniors...

Please give Ace some feedback