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2 years ago

Which type of statistical test is appropriate to analyze the primary efficacy endpoint in this study?

Mathematics

1 answer:

Hitman42 [59]2 years ago

4 0

The chi-square test is appropriate to analyze the primary efficacy endpoint in this study

The chi-square test is a valid statistical hypothesis test when the test statistic is chi-square distributed under the null hypothesis. Specifically, Pearson's chi-square test and its variants. Used to compare observed and expected results. The purpose of this test is to determine whether differences between observed and expected data are due to chance or to relationships between the variables being examined.

A chi-square formula is a statistical formula for comparing two or more sets of statistical data. It is used for data consisting of variables that span different categories and is denoted by χ2. The chi-square formula is χ2 = ∑(Oi – Ei)2/Ei, where Oi = observed (actual) and Ei = expected.

Learn more about the chi-square test here: brainly.com/question/4543358

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A comet travels along a parabolic path around the Sun. The Sun is the focus of the path. When the comet is at the vertex of the

AlladinOne [14]

Remember that for a function of the form $y=a x^{2}$ , a parabola, the focus will be: $(0, \frac{1}{4a} )$ .
We know that the vertex of the parabola is (0,0), and the sun is the focus of the parabola; we also know that the focus is in the positive y-axis and when the comet is as its vertex, the distance between them is 60'000.000 km; therefore the focus of our parabola is (0, 60'000.000).
Now that we know the focus, we can find $a$ using the focus of the parabola:
$\frac{1}{4a} =60'000.000$
$1=(60'000.000)(4a)$
$1=240'000.000a$
$a= \frac{1}{240'000.000}$

Now, the only thing left is replacing the value of $a$ in our equation $y=a x^{2}$ :
$y=( \frac{1}{240'000.000)} ) x^{2}$
$y= \frac{ x^{2} }{240'000.000}$

We can conclude that the equation that represents the path of the comet is $y= \frac{ x^{2} }{240'000.000}$

5 0

3 years ago

Please help me this is urgent!

Gnesinka [82]

Answer:

D. 2 times the distance

Step-by-step explanation:

Practical Math advice: Word Problems usually are tricky so draw, write, and label all you know.

***We want to know how many times farther do the Knicks travel when they play the Los Angeles Lakers compared to the Miami Heat? ***

To do this, we just need to know the distance between the two and divide the bigger by the smaller (think if I told you distance from part A to B is 6 and the distance from part A to C is 3. And then ask you how many times farther the distance to C is from A than B. just divide 6/3 = 2)

1) Note the distance from Madison to Staples (2.8 × 103 miles) and Madison to American A. (1.4 × 103 miles).

We can associate Knicks with Madison, Los Angeles with Staples, and Miami Heat with American A.

2) Now divide 2.8 × 103/(1.4 × 103) = 2

7 0

3 years ago

A graph is given below. Answer the following questions based off the graph:

Tcecarenko [31]

(a) The slope of the graph is $\frac{2}{5}$

(b) The equation of the line in point-slope form is y - 1 = $\frac{2}{5}$ (x + 2.5)

(d) The y-intercept is correct

(e) We substitute x by zero because the line intersects y-axis at a point

its x-coordinate must be zero. Then we calculate the value of

y-coordinate when x = 0. The y-coordinate = 2, so the

y-intercept is (0 , 2)

Step-by-step explanation:

The slope of a line whose endpoints are $(x_{1},y_{1})$ and $(x_{2},y_{2})$

is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

The equation of a line in a point-slope form is:

$y-y_{1}=m(x-x_{1})$

From the graph:

1. The line passes through points (-5 , 0) and (0 , 2)

2. Substitute these points in the rule of the slope to find it

3. Writ the equation of the line in the form of point-slope

(a)

∵ $(x_{1},y_{1})$ = (-5 , 0)

∵ $(x_{2},y_{2})$ = (0 , 2)

∴ $m=\frac{(2-0)}{(0--5)}=\frac{2}{5}$

The slope of the graph is $\frac{2}{5}$

(b)

∵ Point (-2.5 , 1) lies on the line

∴ $(x_{1},y_{1})$ = (-2.5 , 1)

∵ The point-slope form is ⇒ $y-y_{1}=m(x-x_{1})$

∵ m = $\frac{2}{5}$

- Substitute the coordinates of the point and the slope in the equation

∴ y - 1 = $\frac{2}{5}$ (x - -2.5)

∴ y - 1 = $\frac{2}{5}$ (x + 2.5)

The equation of the line in point-slope form is y - 1 = $\frac{2}{5}$ (x + 2.5)

(c)

When the line intersects the y-axis at point (0 , b), then b is the

y-intercept

∵ The line intersects y-axis at point (0 , 2)

∴ The y-intercept is (0 , 2)

The y-intercept of the graph is (0 , 2)

(d)

Let us substitute x in the equation by zero

∵ x = 0

∵ The point slope form of the equation is y - 1 = $\frac{2}{5}$ (x + 2.5)

∴ y - 1 = $\frac{2}{5}$ (0 + 2.5)

∴ y - 1 = $\frac{2}{5}$ (2.5)

∴ y - 1 = 1

- Add 1 to both sides

∴ y = 2

- When x = 0 then y = 2

∴ Point (0 , 2) is the y-intercept

The y-intercept is correct

(e)

We substitute x by zero because the line intersects y-axis at a point its

x-coordinate must be zero

Then we calculate the value of y-coordinate when x = 0

The y-coordinate = 2, so the y intercept is (0 , 2)

Learn more:

You can learn more about linear equation in brainly.com/question/13168205

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6 0

4 years ago

Find the equation that passes through (0,-1) and (-2,-2)

ArbitrLikvidat [17]

Answer:

y=1/2x-1

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Help help help help please i need it :) !!

Maksim231197 [3]

Answer:

Step-by-step explanation:

Area of the field = pi * r^2

r = 230/2 = 115

Area of the field = 3.14 * 115^2 = 41526.5 square feet.

Number of bags = 41526.5/400 = 103.82 bags

5 0

3 years ago