Question

2. The chair of the Criminal Justice department wants to know if students are generally satisfied with their selection of CJ as a major and if there is a difference in perceptions when students with different educational experiences are compared. She administered a survey to a sample of 100 students, 25 students at each academic rank. Based on the information included in the following table…. [Hint: chi-sq. = 20.49]

	Freshman	Sophmore	Junior	Senior
Satisfied	8	15	18	23
Dissatisfied	17	10	7	2
Total	25	25	25	25	100

2.1. Formulate the null and research/alternative hypotheses.

2.2. Calculate the chi-square

2.3. Report the critical chi-square at the corresponding probability level [.05]and degrees of freedom

2.4. Test the null hypothesis and reach a statistical conclusion

2.5. Interpret your results

Answer 1

2.1) null hypothesis:Ho: satisfaction level of selection of CJ as a major and students with different educational experiences are independent

alternate hypothesis: satisfaction level of selection of CJ as a major and students with different educational experiences are dependent

2.2)

applying chi square test:

Ei=row total*column total/grand total	Freshman	Sophomore	Junior	Senior	Total
satisfied	16.00	16.00	16.00	16.00	64
dissatisfied	9.00	9.00	9.00	9.00	36
total	25	25	25	25	100
=(Oi-Ei)2/Ei	Freshman	Sophomore	Junior	Senior	Total
satisfied	4.0000	0.0625	0.2500	3.0625	7.375
dissatisfied	7.1111	0.1111	0.4444	5.4444	13.111
total	11.111	0.174	0.694	8.507	20.486

chi square test statistic =20.486

2.3)

degree of freedom(df) =(rows-1)*(columns-1)=

3

for 3 df and 0.05 level of signifcance critical region       χ2=

7.815

2.4)

as test statisitc is higher than critical value we reject null

2.5)

we have sufficient evidence to conclude that satisfaction level of selection of CJ as a major and students with different educational experiences are dependent