A student claims to be able to distinguish the taste of Cal Blue coffee from Cal Gold coffee, even though his friends say the two coffees are the same in appearance, aroma, and taste. The student agrees to take a blind taste test consisting of 10 trials as follows. On each trial, the student is given two identical unmarked cups (small ones!), one containing Cal Blue and the other containing Cal Gold. He is not told which is which. He has to drink the contents and say which one is Cal Blue. The student picks correctly on seven out of the 10 trials. He says that his friends now have to accept his claim. His friends say they will do no such thing because he could just have been guessing at random. Decide which position is better supported by the data, in the following steps.

a. State an appropriate null hypothesis in non-technical terms and also as a set of assumptions about random variables.
b. State an appropriate alternative hypothesis.
c. What test statistic are you going to use? Justify your choice.
d. Find an exact or approximate p-value.
e. At the 5% level, what is the conlcusion of the test? Why?

The total number of dental clinics total for the last 12 months was recorded

36x2 + 49y2 = 1,764 the foci are located at: (-√13, 0) and (√13,0) (0, -√13) and (0,√13) (-1, 0) and (1, 0)edit: the answer is (- the square root of 13, 0) and (the square root of 13, 0)

1.3.25 question suppose 40​% of all voters voted for a particular candidate. to simulate exit polls regarding whether or not voters voted for this​ candidate, five random samples of size 1010 and five random samples of size 10001000 have been generated using technology using a population proportion of 0.400.40​, with the accompanying results. complete parts a through c below. click the icon to view the simulation results. a. observe how the sample proportions of successes vary around 0.400.40. simulation compared to sample prop simulation compared to sample prop 1 ▾ 6 ▾ greater than 0.40 less than 0.40 equal to 0.40 2 ▾ less than 0.40 greater than 0.40 equal to 0.40 7 ▾ greater than 0.40 less than 0.40 equal to 0.40 3 ▾ greater than 0.40 less than 0.40 equal to 0.40 8 ▾ equal to 0.40 greater than 0.40 less than 0.40 4 ▾ greater than 0.40 equal to 0.40 less than 0.40 9 ▾ less than 0.40 greater than 0.40 equal to 0.40 5 ▾ equal to 0.40 less than 0.40 greater than 0.40 10 ▾ equal to 0.40 greater than 0.40 less than 0.40 click to select your answer(s) and then click check answer. 2 parts remaining clear all check answer