Question

wondering if I did it right. Eo came out to 530

Lesson 10.2: Goodness of Fit Between Spring 2001 and Spring 2004, the math department at Mt. San Antonio College offered Math 72, an intermediate algebra class with less time spent on review. Over this period of time, enrollments fluctuated and in spring 2004 the enrollment was only 41 people. The department decided to stop offering the course Math 72 Enrollment by Semester Semester Enrollment 39 Spring 2001 37 Fall 2001 112 Spring 2002 67 Fall 2002 159 Spring 2003 75 Fall 2003 41 Spring 2004 Test the claim at 5% significance that the underlying population enrollmentproportions in terms of student demand over this period of time) for the 7 semesters are equal. Step 1: Determine the Hypotheses 16 The outcome for each of the trials (enrollments) above is the semester in which each student is enrolled. How many possible outcomes (k) are there per trial? 17 What are the hypothetical proportions of enrollments for each outcome (semester)? 18 Use your answer in Question 17 to construct the null hypothesis. This gives the hypothetical proportions of all enrollments that occur in the seven semesters P.115 2 .143 3143 P-1: .IH3 7: .143 19 What is the alternative hypothesis? Statway Version 3.1, 2018 WestEd. All rights reserved 10.2 | 11

Xsquare came out to 163.37

My P Val came out to 0.

Am stuck if I did this right and the conclusion

Answer 1

16) k=7

17)hypothetical proportion=1/7 =0.143

hypothesis are correct:

Applying chi square goodness of fit test:

		relative	observed	Expected	residual	Chi square
	category	frequency	Oi	Ei=total*p	R2i=(Oi-Ei)/√Ei	R2i=(Oi-Ei)2/Ei
L. Advancement	Spring 2001	0.143	39	75.71	-4.22	17.803
L. Advancement	fall 2001	0.143	37	75.71	-4.45	19.795
27.990	Spring 2002	0.143	112	75.71	4.17	17.390
L. Advancement	fall 2002	0.143	67	75.71	-1.00	1.003
27.990	Spring 2003	0.143	159	75.71	9.57	91.614
27.990	fall 2003	0.143	75	75.71	-0.08	0.007
L. Advancement	Spring 2004	0.143	41	75.71	-3.99	15.916
	total	1.000	530	530		163.528

from above expected frequency Eo =75.71

X² =163.528

p value =0.0000

as p value is significantly low we reject null hypothesis and conclude that at least one of the proportion is different or enrollment proportions for the 7 semesters are not equal,