To test the effectiveness of a new drug, a researcher gives one group of patients the new drug and another group a placebo. Results are shown below:
Medication
Effective
Not effective
Active Drug
151
25
Placebo
12
33
Is the proportion of patients who showed effectiveness of active drug significantly higher than the
proportion of patients who showed effectiveness in placebo group? Use alpha=0.05.
The approximate z test statistic for this test can be:

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

Just tell me how to set up the equation.

Which of the following correctly justifies statement four of the two column proof? a. corresponding angles theorem b. transitive property of equality c. vertical angle theorem d. substitution property of equality