Suppose that a study is designed to choose be­ tween the hypotheses: null hypothesis: population proportion is 0.25. alternative hypothesis: population propor­ tion is higher than 0.25. on the basis of a sample of size 500, the sample proportion is 0.29. the null standard error for the potential sample proportions in this case is about 0.02.a. compute the standardized score corresponding to the sample proportion of 0.29, assuming the null hypothesis. b. what is the percentile for the satndardized score computed in part a. c. what is the p-value of the test? d. based on the results of part a to c, make a conclusion. be explicit about the wording of your conclusion and justify your answer. e. to compute the standardized score in part a, you assumed the null hypothesis was true. explain hy you couldn't compute standardized score under the assumption that alternative hypothesis was true.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify

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i hope this with your

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81