A class did an experiment to see if students could taste water and identify bottled water versus tap water. Each student was presented with three cups of water—one of which contained bottled water—and they were directed to identify which cup they thought contained bottled water. The class wants to test if they correctly identified the bottled water significantly better than they would have done by simply guessing. Let p represent the proportion of these students that would correctly identify the bottled water.
Which of the following is an appropriate set of hypotheses for their significance test?

ANSWER:
H0​:p=1/3
Ha​:p>1/3

hey! so 1 (25) out of 4 (100) is 25 so your answer is 25%. it's like quarters!

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).