Question

1. Curious AP Statistics students wanted to know if there was a relationship between dress code violations and disciplinary actions: did students who violated the dress code receive more suspensions, detention, and work detail. In a blind survey, so the identities of the subjects were unknown to the AP students, the AP Statistics students randomly selected 185 students and were given the results of their survey from school administration regarding dress code violations and disciplinary actions. The results are below:
   

Dress Code Violations
Disciplinary Action	None	Less than 5	More than 5
Work Detail	23	18	17
Detention	22	17	15
Suspension	11	27	35

1. To the table below, add marginal values and next to the observed counts enter the expected counts. (4 points)
   

Dress Code Violations
Disciplinary Action	None	Less than 5	More than 5	Total
Work Detail	23	18	17
Detention	22	17	15
Suspension	11	27	35

2. Write the null and alternative hypotheses for a chi-square test of independence on these data (2 points).

3. State and verify the conditions for carrying out the chi-squared test for independence. (2 points)
   
   
   

4. Determine the test statistic, the degrees of freedom, and the P-value. (6 points)
   
   
   
   
5. State your conclusion (6 points):

Answer 1