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)

the bottom of the spinner is not flat.

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)