Question

Problem Set 1: Chi Square Goodness of Fit (7 pts) A teacher believes that the percentage of students at her high school who go on to college is lower than the rate in the general population of high school students. The rate in the general population is 69.7% (BLS, 2017). In the most recent graduating class at her high school, the teacher found that of 104 who graduated, 61 of those went on to college.

1. Complete the following chart (round to two decimal places when calculating the expected values). Show all work in the space provided beneath it. (1 pt per row = 2 pts total)

Frequencies	Went to college	Did not go on to college
Observed	Answer:	Answer:
Expected	Answer:	Answer:

WORK:

Answer 1

Frequencies	Went to college	Did not go on to college
Observed	61	104-61=43
Expected	72.8	31.2

observed frequencey, O	expected proportion	expected frequency,E	(O-E)	(O-E)²	(O-E)²/E
61	0.70	72.8	-11.49	131.97	1.821
43	0.30	31.2	11.49	131.97	4.188

                  
level of significance, α=   0.05              
Degree of freedom=k-1=   2   -   1   =   1
                  
P value =   0.0142   [ excel function: =chisq.dist.rt(test-stat,df) ]          
Decision: P value < α, Reject Ho