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:

2. Create an SPSS data file and run the test in SPSS. Paste appropriate SPSS output. (2 pts)

3. Write an APA-style Results section based on your analysis. All homework “Results sections” should follow the examples provided in the presentations and textbooks for that particular statistical test. Don’t forget to include a decision about the null hypothesis. (3 pts)

Answer 1

Frequencies	Went to college	Did not go on to college	Total
Observed	61	43	104
Expected	72.49	31.51	104

Work:

Expected frequency(went to college)

Expected frequency(did not go on to college)

The appropriate SPSS output is,

Category
	Observed N	Expected N	Residual
Went to college	61	72.5	-11.5
Do not go on to college	43	31.5	11.5
Total	104

Test Statistics
	Category
Chi-Square	6.011a
df	1
Asymp. Sig.	.014
a. 0 cells (0.0%) have expected frequencies less than 5. The minimum expected cell frequency is 31.5. We reject the null hypothesis. That is, the percentage of students who go on to college is lower than the rate in the general population of high school students. Please upvote my answer if you find it helpful. Thanking you.