Question

The Tvet college is interested in the relationship between anxiety level and the need to succeed in school. A random sample of 400 students took a test that measured anxiety level and need to succeed in school. Need to succeed in school vs Anxiety level Need to succeed High Med–High Medium Med–Low Low in school Anxiety Anxiety Anxiety Anxiety Anxiety High Need 35 42 53 15 10 Medium Need 18 48 63 33 31 Low Need 4 5 11 15 17 Which one of the following statements is incorrect?
1. The column total for a high anxiety level is 57:
2. The row total for high need to succeed in school is 155:
3. The expected number of students who have a high anxiety level and a high need to succeed in school is about 51:
4. The expected number of students who have a low need to succeed in school and a med–low level of anxiety is 8:19:
5. The expected number of students who have a medium need to succeed in school and a medium anxiety is 61:28:

the critical value of 2 at 10% significance level equals.
1. 17:535
2. 13:362
3. 20:090
4. 2:733
5. 15:98

Answer 1

Uding Minitab :

1. ick Stat → Tables → Cross Tabulation and Chi-Square.
2. A new window named “Cross Tabulation and Chi-Square” pops up.
3. Insert the required data

Click Ok, You will get output:

Answer Part 1.:

In the given output all the options are correct except : The expected number of students who have a high anxiety level and a high need to succeed in school is about 51: ( Its 22.09 in highlighted blue shaded)

Answer Part 2.

Using Excel function ''=CHIINV(0.1,8)'' you will get 13.36 so option 2.13.36 is correct!

Hope this will be helpful. Thanks and God Bless You :)