Type I error says that we suppose that the null hypothesis exists rejected when in reality the null hypothesis was actually true.
Type II error says that we suppose that the null hypothesis exists taken when in fact the null hypothesis stood actually false.
<h3>
What is
Type I error and Type II error?</h3>
In statistics, a Type I error exists as a false positive conclusion, while a Type II error exists as a false negative conclusion.
Making a statistical conclusion still applies uncertainties, so the risks of creating these errors exist unavoidable in hypothesis testing.
The probability of creating a Type I error exists at the significance level, or alpha (α), while the probability of making a Type II error exists at beta (β). These risks can be minimized through careful planning in your analysis design.
Examples of Type I and Type II error
- Type I error (false positive): the testing effect says you have coronavirus, but you actually don’t.
- Type II error (false negative): the test outcome says you don’t have coronavirus, but you actually do.
To learn more about Type I and Type II error refer to:
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Answer:
Domain: all real numbers, where ![x\geq 2](https://tex.z-dn.net/?f=x%5Cgeq%202)
Range: all real numbers, where ![y\geq 3](https://tex.z-dn.net/?f=y%5Cgeq%203)
Step-by-step explanation:
I hope this helps!
The mathematical word describing both
and
in the expression
is "<u><em>addition</em></u>"
<h3>How to form mathematical expression from the given description?</h3>
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given case, the terms were
and
and the expression formed from them is ![27x+6x](https://tex.z-dn.net/?f=27x%2B6x)
This means both the terms were added together, as denoted by '+' (called 'plus') sign.
When two terms are written with 'plus' sign in between, then that means they're added to each other and the result will be addition of both of their's values.
Thus, the mathematical word describing both
and
in the expression
is <u><em>addition</em></u>"
Learn more about addition here:
brainly.com/question/14148883
So with f(x), the equation is in slope-intercept form, which is y = mx+b, with m = slope and b = y-intercept. Looking at the equation, the slope is 5.
With g(x), you will have to use the slope formula (
) to find the slope. For this, I'll be using (1,3) and (2,5) to solve:
![\frac{5-3}{2-1}=\frac{2}{1} =2](https://tex.z-dn.net/?f=%20%5Cfrac%7B5-3%7D%7B2-1%7D%3D%5Cfrac%7B2%7D%7B1%7D%20%3D2%20)
The slope for g(x) is 2.
Now with h(x), you'll be doing the same thing as before. I'll be using points (1,14) and (7,16):
![\frac{16-14}{7-1}=\frac{2}{6}=\frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B16-14%7D%7B7-1%7D%3D%5Cfrac%7B2%7D%7B6%7D%3D%5Cfrac%7B1%7D%7B3%7D%20)
The slope for h(x) is 1/3.
In short, the function with the smallest slope is h(x), or the third option.