![shealwaysknows23](/avatars/48926.jpg)
shealwaysknows23
16.12.2019 •
Mathematics
Which of the following statements is true?
a. the probability of committing a type ii error is the represented by the greek letter α.
b. the probability of committing a type ii error is the same as the level of significance.
c. the probabilities of committing type i and type ii errors are related such that when one is increased, the other will increase also.
d. the probability of committing a type i error is the represented by the greek letter β.
e. the decision maker controls the probability of committing a type i error.
Solved
Show answers
More tips
- F Food and Cooking From Latte to Espresso: Which Coffee Drink is the Most Popular on Earth?...
- C Computers and Internet How to Set Up Internet on iPhone? Detailed Guide with Step-by-Step Instructions...
- P Philosophy 8 привычек, чтобы достичь счастливой жизни...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
- G Goods and services How to Choose the Right Iron: Purchase Tips...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- H Health and Medicine How to Choose the Right Glasses?...
- H Health and Medicine What vaccines do children need?...
- H Health and Medicine AKDS Vaccination: Ensure Your Child s Safety...
- H Health and Medicine Flu: How to Recognize It by the First Symptoms?...
Answers on questions: Mathematics
- M Mathematics Two number are opposite because they are the ___from __on a number line...
- M Mathematics Find the solution for the equation from the numbers 29.6, 31.4, 42.4, or 18.6. t + 32.4 = 62...
- M Mathematics Which relationship describes angles 1 and 2? select each correct answer. a. adjacent angles b. vertical angles c. linear pair d. complementary angles...
- M Mathematics Laila is having shirts made with a logo printed on them to promote her band. the total cost consists of a one-time fee of $75 to have the logo designed, plus $8 per shirt to...
- M Mathematics How far does a ball that is hit from a height of 3 feet at a speed of 120 feet per second travel before it hits the ground if it is hit at an angle of 45 degrees? round your...
- M Mathematics Six cakes cost 3.60. how much do seven cakes cost...
- M Mathematics Which equations are true for x = –2 and x = 2? check all that apply. x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0...
- M Mathematics Factor the following expression. 3 2 + 17 − 28 explain your steps....
- M Mathematics Suppose today is friday,what day of the week will be 65 days from now?...
- M Mathematics What is the perimeter of a rectangle that is 2 ft high and 3.4 ft wide...
Ответ:
Step-by-step explanation:
Hello!
When making a hypothesis test you can make two decisions "to reject· and "to not reject" the null hypothesis.
There are also two possibilities regarding the null hypothesis, that it is "true" or it is "false"
So there are possible cases:
To reject the null hypothesis and the null hypothesis is false. In this case, the decision is CORRECT.⇒ Its associated probability is symbolized 1 - β and is known as the power of the test.To reject the null hypothesis but the null hypothesis was true. In this case, you've made a Type I error.⇒ Its associated probability is α, known as the signification level. To not reject the null hypothesis, the null hypothesis is true. This decision is CORRECT. ⇒ Its associated probability is symbolized as 1 - α To not reject the null hypothesis, the null hypothesis is false. In this case, the error made is a Type II error. ⇒ Its associated probability is symbolized βKeeping this in mind,
a. The probability of committing a Type II error is represented by the Greek letter α.
FALSE, it is symbolized by β
b. The probability of committing a Type II error is the same as the level of significance.
FALSE, the Type II error is when you don't reject the null hypothesis and this is false. The level of significance is the probability of committing a Type I error.
c. The probabilities of committing Type I and Type II errors are related such that when one is increased, the other will increase also.
CORRECT, check graphic, alpha is the probability of rejecting the null hypothesis when it is true because it is a case where the hypothesis is true, that is why it is marked under the curve corresponding to the null hypothesis.
The Type II error is not rejecting the null hypothesis when it is false. Since the hypothesis is false, then the alternative is true, therefore its associated probability is marked under the curve that corresponds to the alternative hypothesis.
Remember hypotheses are complementary and exhaustive (this means that between them are include all possible outcomes that the experiment can take.) So graphically, every possibility is contained under the curve of the null hypothesis or the curve of the alternative hypothesis.
So, in the sense of the direction of the hypothesis (in the example how the curve of the alternative hypothesis is on the right, then the hypothesis is unilateral right) in the conjunction of the "arms" of many curves, you can find yourself in the situation of committing type one error or type two error (depending on the statistic value). So looking at it from the painted areas under the curve when you increase the area of α decreases the are of β and if you decrease the area of α then the area of β increases.
d. The probability of committing a Type I error is represented by the Greek letter β.
FALSE, the Type I error is symbolized by α.
e. The decision-maker controls the probability of committing a Type I error.
CORRECTt, the signification level is chosen by the investigator.
I hope it helps!
Ответ:
Speed= distance/time
395000/9000= 43.9m/s