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Researchers are trying to determine the proportion of people who get hip replacements that go on to have a full recovery. Out of a sample of 300 individuals, 102 made a full recovery. a)  Construct and interpret a 95% confidence interval for the proportion of patients that made a full recovery.   b)  Previous estimates of patients who recovered fully from the surgery sit at a proportion of 0.5. Has the population proportion changed? Please explain.   Only show final answers below BUT show ALL work on the page you scan and submit at the end of this exam.

Researchers are investigating whether exposure to violent video games is increases aggressive behavior.  However, they fail to control for prior history of aggressive behavior.  In this study, prior history of aggressive behavior is a(n) ___________.

Gauss’s law: The cube of insulating material shown in the figure has one corner at the origin. Each side of the cube has length 0.080 m so the top face of the cube is parallel to the xz-plane and is at y = 0.080 m. It is observed that there is an electric field = (3280 N/C ∙ m)y that is in the +y direction and whose magnitude depends only on y. Use Gauss’s law to calculate the net charge enclosed by the cube. (ε0 = 8.85 × 10-12 C2/N ∙ m2) 1.

A bag contains 3 red balls, 5 blue balls, and 2 green balls. What is the probability of drawing two green balls in a row (assuming you do NOT replace the first ball before drawing the second)?

What is the probability that a student is either part-time OR has taken an online class? 

As we repeat a random event many times, the average result gets closer to the expected (theoretical) result. This idea is called the _______.

Spheres of charge: Two concentric spheres are shown in the figure. The inner sphere is a solid nonconductor and carries a charge of +5.00 µC uniformly distributed over its outer surface. The outer sphere is a conducting shell that carries a net charge of -8.00 µC. No other charges are present. The radii shown in the figure have the values R1 = 10.0 cm, R2 = 20.0 cm, and R3 = 30.0 cm. (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)(a) Find the total excess charge on the inner and outer surfaces of the conducting sphere.(b) Find the magnitude and direction of the electric field at the following distances r from the center of the inner sphere: (i) r = 9.5 cm, (ii) r = 15.0 cm, (iii) r = 27.0 cm, (iv) r = 35.0 cm.

Find the square root if it is a real number, or state that the expression is not a real number. If not real, enter DNE. a.    = [eight] b. 

Must show work on scrap paper.  Label the question number. Simplify the radical expression. Assume that all variables represent positive real numbers. Equation editor found above the answer box under

Must show work on scrap paper.  Label the question number. Simplify the radical expression. Assume that all variables represent positive real numbers. Equation editor found above the answer box under