select the correct texts.\na survey was conducted regarding level of education and income. the results of…

select the correct texts.\na survey was conducted regarding level of education and income. the results of the survey are shown in the table below. tiffany is a career counselor. using the data in the table, she makes conclusions by calculating probabilities related to a randomly selected person from the survey.\n| education level | income | | | |\n| ---- | ---- | ---- | ---- | ---- |\n| | < $40,000 | $40,000 - $60,000 | > $60,000 | total |\n| high school diploma | 51 | 19 | 6 | 76 |\n| bachelors degree | 24 | 40 | 17 | 81 |\n| masters degree | 3 | 22 | 48 | 73 |\n| total | 78 | 81 | 71 | 230 |\nwhat can tiffany conclude from the data?\ngiven a person has only a high school diploma, they are most likely to have an income less than $40,000.\ngiven a person has only a high school diploma, they are most likely to have an income greater than $60,000.\ngiven a person has an income greater than $60,000, it is most likely that their highest level of education is a high school diploma.\ngiven a person has an income greater than $60,000, it is most likely that their highest level of education is either a bachelors or masters degree.

select the correct texts.\na survey was conducted regarding level of education and income. the results of the survey are shown in the table below. tiffany is a career counselor. using the data in the table, she makes conclusions by calculating probabilities related to a randomly selected person from the survey.\n| education level | income | | | |\n| ---- | ---- | ---- | ---- | ---- |\n| | < $40,000 | $40,000 - $60,000 | > $60,000 | total |\n| high school diploma | 51 | 19 | 6 | 76 |\n| bachelors degree | 24 | 40 | 17 | 81 |\n| masters degree | 3 | 22 | 48 | 73 |\n| total | 78 | 81 | 71 | 230 |\nwhat can tiffany conclude from the data?\ngiven a person has only a high school diploma, they are most likely to have an income less than $40,000.\ngiven a person has only a high school diploma, they are most likely to have an income greater than $60,000.\ngiven a person has an income greater than $60,000, it is most likely that their highest level of education is a high school diploma.\ngiven a person has an income greater than $60,000, it is most likely that their highest level of education is either a bachelors or masters degree.

Answer

Explanation:

Step1: Calculate probabilities for high - school diploma income groups

For high - school diploma holders, the probability of income $<$40,000$ is $P_1=\frac{51}{76}\approx0.671$. The probability of income in the range $$40,000 - $60,000$ is $P_2=\frac{19}{76}=0.25$. The probability of income $>$60,000$ is $P_3=\frac{6}{76}\approx0.079$. Since $P_1 > P_2> P_3$, given a person has only a high - school diploma, they are most likely to have an income less than $$40,000$.

Step2: Calculate probabilities for income $>$60,000$ education groups

For those with income $>$60,000$, the number of high - school diploma holders is 6, the number of bachelor's degree holders is 17, and the number of master's degree holders is 48. The total number of people with income $>$60,000$ is 71. The probability that a person with income $>$60,000$ has a high - school diploma is $P_4=\frac{6}{71}\approx0.085$. The probability that a person with income $>$60,000$ has a bachelor's degree is $P_5=\frac{17}{71}\approx0.239$. The probability that a person with income $>$60,000$ has a master's degree is $P_6=\frac{48}{71}\approx0.676$. Since $P_6 + P_5> P_4$, given a person has an income greater than $$60,000$, it is most likely that their highest level of education is either a bachelor's or master's degree.

Answer:

Given a person has only a high school diploma, they are most likely to have an income less than $$40,000$. Given a person has an income greater than $$60,000$, it is most likely that their highest level of education is either a Bachelor's or Master's degree.