A New School District Superintendent Was Preparing to Reallocate Resources

question 10

Essay

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 4 impaired (and 16 unimpaired)students at School 1; 1 impaired (and 19 unimpaired)at School 2; 6 (and 14)at School 3; 3 (and 17)at School 4; and 7 (and 13)at School 5.
Do these data suggest that the distribution of physically impaired students is different at different schools? (Use the .01 significance level.)
a. Use the five steps of hypothesis testing.
b. Sketch the chi-square distribution.
c. Explain the logic of what you have done.
d. Figure a measure of effect size and indicate whether it is small, medium, or large.
e. Figure the approximate power.

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Definitions:

Lateral Flexion

The bending of the body to the side, commonly referring to the spine but can apply to other limbs or joints.

Bulbospongiosus

A muscle of the perineum that covers the bulb of the penis in males and contributes to erection, ejaculation, and the sensation of orgasm, while in females, it aids in clitoral erection and the closing of the vagina.

Ischiocavernosus

A muscle situated at the base of the penis or clitoris that plays a role in sexual function by helping to maintain an erection by compressing the outflow veins.

Pelvic Floor

The layer of muscles stretching under the pelvis, which supports the pelvic organs and controls continence.