In: Statistics and Probability
The school district recently adopted the use of e-textbooks, and the superintendent is interested in determining the level of satisfaction with e-textbooks among students and if there is a relationship between the level of satisfaction and student classification. The superintendent selected a sample of students from one high school and asked them how satisfied they were with the use of e-textbooks. The data that were collected are presented in the following table.
Table 1: Student Classification (N=128)
Satisfied |
Freshman |
Sophomore |
Junior |
Senior |
Yes |
23 |
21 |
15 |
8 |
No |
8 |
14 |
15 |
24 |
Questions
1. Of the students that were satisfied, what percent were Freshmen, Sophomore, Junior, and Senior? (Round your final answer to 1 decimal place).
2. State an appropriate null hypothesis for this analysis.
3. What is the value of the chi-square statistic?
4. What are the reported degrees of freedom?
5. What is the reported level of significance?
6. Based on the results of the chi-square test of independence, is there an association between e-textbook satisfaction and academic classification?
7. Present the results as they might appear in an article.
This must include a table and narrative statement that reports and interprets the results of the analysis. Note: The table must be created using your word processing program. Tables that are copied and pasted from SPSS are not acceptable.
DATE:17-04-2020.
ANSWER:-------
SECOND_METHOD:
Freshman Sophomore Junior
Senior Total
Yes 23 21
15 8 67
No 8 14
15 24 51
Total 31 35 30 32 118
a) Percent of satisfied from each group:
Freshman= 23/31= 0.741935=74.1935%.
Sophomore= 21/35= 0.6= 60%.
Junior= 15/30= 0.50= 50%.
Senior= 8/32= 0.25= 25%.
2) Chi-square association test:
H0: There is no relationship between student classification and satisfied
Ha: There is relationship between student classification and satisfied
3) Expected value:
E(X)= (Sum of Row * Sum of column)/ Total
E(Freshman* Yes)= (67*31)/128= 16.22656
Freshman
Sophomore Junior Senior
Total
Yes 16.22656
18.32031 15.70313
16.75 67
No 14.77343
16.67968 14.29687
15.25 61
X^2=SUMMATION(Oi-Ei)**2/Ei.
=16.41291.
4) The degree of freedom: (c-1)(r-1)= (4-1)(2-1)= 3
c= no of columns and r= No of rows
5) Level of significant= 0.05
6) P-value:0.000
The test statistic is significant and rejects H0. There is
sufficient evidence to support the claim that there is relationship
between student classification and satisfied.