4- Association between Students\' Performance and Parents\' Education Level we s

Question

4- Association between Students' Performance and Parents' Education Level we sample The population of grade school students in Monterey County, have a the of 4442 students interest high standardized test (pass or fail) and by their performance on the high school math education level of their parents. We want to study association between the performance of students and the education the level of parents. The data are given Lower than Hs High School Some College Undergraduate Graduate Total 157 148 161 251 3638 Fail 1274 439 989 Total 426 1431 1137 a. Which question is more meaningful? i. Does students' performance depend on the level of parents' education? ii. Does the level of parents' education depend on students' performance? b. What is the response variable of interest? i. Performance (pass or fail) ii. Level of parents' education (the five categories c. What is the explanatory variable of interest? i. Performance (pass or fail) ii. Level of parents' education (the five categories) d. Calculate the observed proportion of students who passed conditioning on the level of parents' education. (Round to two decimals.) Lower than High School High School Some College Undergraduate Graduate verall

Explanation / Answer

a) i) does students performance depends on the level of parent' education. is more meaningful than the other one.

b) Here, the response variable is i) performance (pass or fail)

c) explanatory variable is ii)Level of parent's education (the five categories).

d)

e)ii) bottom is more meaningful. We can directly compare the proportion of students performance.

Lower than highschool =157/1431 0.11 High school =148/1137 0.13 Some college =161/846 0.19 Undergraduate =163/602 0.27 Graduate =175/426 0.41 Overall =804/4442 0.18

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