I didn’t really understand number 9

You are studying the relationship between the history of early childhood trauma (categorized as trauma/no trauma) and weight in

jeka57 [31]

Answer:

You can decide to reject the Null Hypothesis at p < 0.05.

Step-by-step explanation:

In this case, the relationship between the history of early childhood trauma and weight in adulthood are being studied.

The categories of childhood trauma are:

Trauma and No trauma.

So, number of rows is, r = 2.

The categories of weight in adulthood are:

Low to normal, Overweight, and Obese

So, number of columns is, c = 3.

The distribution of the statistic $\chi^{2}$ is chi-square with (r - 1)(c - 1) degrees of freedom, where r represents the number of rows in the two-way table and c represents the number of columns.

Compute the degrees of freedom as follows:

$df = (r-1)(c-1)=(2-1) \times (3-1) = 2$

It is provided that the calculated value of Chi-square test statistic is 18.26.

Compute the p-value of the test as follows:

$p-value=P(\chi^{2}_{2}\geq 18.26)\\=0.000108\\\approx0.00011$

Decision rule:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

The significance level is, α = 0.05.

p-value = 0.00011 < α = 0.05.

The null hypothesis will be rejected at 5% level of significance.

Thus, the complete statement is:

"You can decide to reject the Null Hypothesis at p < 0.05."

4 0

3 years ago

The quotient of two numbers is negative. It must be true that _____. a neither number is negative b one of the numbers is negati

vivado [14]

The answer is B.) one of the numbers is negative.

So if you take the example...
-3 x -7 = 21
then we know that they equal a positive.
21 ÷ -3 = -7

3 0

4 years ago

Read 2 more answers

What is the slope of the line that passes through the points (9,-18) and (12,-24)

ehidna [41]

Answer:

-3 OR -6 / 3

Step-by-step explanation:

-24 - (-18) = -6

12 - 9 = 3

-6 / 3

Can be simplified down to -3

4 0

3 years ago

The student who traveled to states visited new states during a vacation. Does increasing the to change the median? If so, how?

mote1985 [20]

Step-by-step explanation:

The exact question is as follows :

Given - The student who traveled to 3 states visited 6 new states during a vacation.

To find - Does increasing the 3 to 6 change the median? If so, how?

Proof -

Yes,

If we increase the 3 states to 6 states, it changes the median

Because

The median of the first 3 states is the middle state.

For example -

If we have 3 states X, Y, Z

Then the median is the state Y

Now,

The median of 6 states is the average of the 2 middle states.

For example -

If we have 6 states

X, Y, Z, U, V, W

Then

The median is not explicit.

Median is the average of the two middle states, Z and U.

And

Average of Z and U = half of the sum of Z and U.

i.e. (Z + U)/2.

And we can see that,

Median of 3 States is not equal to Median of 6 states

i.e. Y is not equal to (Z + U)/2.

So,

We can say that,

Increasing the state 3 to 6 changes the median.

6 0

3 years ago

What is the length of a radius of the circle represented by the equation below?

MakcuM [25]

Answer:

2

Step-by-step explanation:

Given the circle: $x^2 + y^2 - 4x - 4y + 4 = 0$

To determine the length of the radius, we complete the square.

Step 1: Subtract 4 from both sides

$x^2 + y^2 - 4x - 4y + 4 -4= 0-4\\x^2 + y^2 - 4x - 4y = -4$

Step 2: Divide the coefficient of x and y by 2, square it and add it to both sides

$x^2 - 4x+(-2)^2+ y^2 - 4y+(-2)^2 = -4+(-2)^2+(-2)^2$

Step 3: Factorize the Left Hand side and simplify the Right Hand side.

$(x-2)^2+ (y-2)^2 = 2^2$

Comparing with the standard form of the equation of a circle

$(x-h)^2+ (y-k)^2 = r^2$

r=2

Therefore, the radius of the circle is 2.

7 0

3 years ago