A new school district superintendent was preparing to reallo

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)A.            State the hypothesis

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)

B.            Determine sampling distribution

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

C.            Determine critical value

If the critical value is not correct (1 point)

If degrees of freedom are not correct (1 point)

D.            Conduct hypothesis test

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)

E.            Make decision about rejecting/failing to reject the hypothesis

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