Patrick Johnson

Professor Alex G. Page

February 28, 2021

Statistic Problems

Problem 1 Solution

N

Educational Status

Eliteness

1

0

12

2

7

36

3

8

33

4

8

18

5

4

20

6

5

7

7

12

15

8

17

38

9

8

41

10

2

5

The application of a t-test determines whether a linear relationship exists between a family’s educational level and the eliteness of the institution that the first child went.

Let p be the population correlation coefficient between the two variables (educational status and eliteness). A p value of zero implies that a linear relationship does not exist between variables; a p value or less than zero signifies the existence of a linear relationship.

Null hypothesis (H0): p= 0

Alternative hypothesis (HA): p≠0

Test statistic (t*) = r√n-2/√1-r2

The correlation coefficient between educational status and eliteness is r while n is the sample size.