Suppose that in a sequence of n Bernoulli trials, the probability p of success on each trial is unknown. Suppose also that p0 is a given number in the interval (0, 1), and it is desired to test the following hypotheses: H0: p = p0,
H1: p = p0.
Let Xn denote the proportion of successes in the n trials, and suppose that the given hypotheses are to be tested by using a χ2 test of goodness-of-fit.

Required:
Show that the statistic Q can be written in the form:

Q= n(Xn- po)^2/ po(1-po)

Which functions shave a maximum and are transformed to the left and down of the parent function ,check all that apply f(x) = x2? p(x) =14 (x+7)2 + 1

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

Stefano accidentally dropped his sunglasses off the edge of a canyon as he was looking down. the height, h(t), in meters (as it relates to sea level), of the sunglasses after t seconds, is shown in the table. during its descent, the pair of sunglasses passed by a climber in the canyon 6 seconds after stefano dropped them. to the nearest meter, what is difference in elevation between stefano and the climber? 166 meters 176 meters 230 meters 240 meters its b.176 i took the test 166 is wrong and 176 is correct