Q3 A new school district superintendent was preparing to rea

Q3) A new school district superintendent was preparing to reallocate resources for physically impaired students. He wanted to know if the schools in his district differed in the distribution of physically impaired students. He tested samples of 20 students from each of his five schools.He found the following:

School 1: 4 impaired and 16 unimpaired students

School 2: 1 impaired and 19 unimpaired students

School 3: 6 impaired and 14 unimpaired students

School 4: 3 impaired and 17 unimpaired students

School 5: 7 impaired and 13 unimpaired students

- Conduct a Chi-Square Test for Independence to determine if “School Location” and “Physical Impairment” are dependent on each other. (Use a .01 significance level and make sure you show all 5 steps of the hypothesis test) SHOW ALL WORK STARTING WITH FORMULA

Scoring rubric

State the hypothesis Deduct as follows:

If any aspect of null hypothesis written in words is incorrect (.5 point)

If any aspect of null hypothesis written in notation is incorrect (.5 point)

If any aspect of alternative hypothesis written in words is incorrect (.5 point)

If any aspect of alternative hypothesis written in notation is incorrect (.5 point)

Determine sampling distribution

It is critical that students choose a Chi Square (0 points)

Determine critical value Deduct as follows:

If the critical value is not correct (1 point)

If degrees of freedom are not correct (1 point)

Conduct hypothesis test Deduct as follows:

If correct equation is not used (2 points)

If correct X² statistic is not found (2 points)

If X² obtained is not compared to X² critical in some form – words or notation (1 point)

Make decision about rejecting/failing to reject the hypothesis Deduct as follows:

If student does not explicitly state “fail to reject the null hypothesis” (1 point)

If student does not write correct conclusion in words (1 point)

If student does not write correct conclusion in notation (1 point)

Solution