Example 2: Let p be the probability that a coin will fall head in a single toss.In order to test the hypothesis H, : p = 1/2, the coin is tossed 6 times and thehypotheses H, is rejected if more than 4 heads are obtained. Find the probabilityof the error of the first kind. If the alternative hypothesis is H1 : p = 3/4, find theprobability of the error of second kind.

Answered: Image /qna-images/answer/d0833587-a1e3-4a61-baa1-f5aeef83bdc0.jpg

Answered: Example 2: Let p be the probability…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Suppose 0.1% of the population have a new disease. A test is developed for the disease. 98% of people without the disease will receive a negative test result. 99.5% of people with the disease will receive a positive test result. A random person who was tested for the disease is chosen. What is the probability that the chosen person does not have the disease and got a negative test result? N = negative test results H = does not have the disease P(N and H) = P(N|H) x P(H) or 2. P(H|N) x P(N) [use formula 1] = (0.98) P
In order to write an exam, a student needs an alarm clock to wake up,which has proven to successfully wake him 80% of the time. If he hears thealarm in the morning the probability of writing the test is 0.9 and if he doesn'thear the alarm the probability is 0.5.a. If he writes the test what is the probability that he heard the alarm clock?b. If he doesn ́t write the test: what is the probability that he didn ́t hear thealarm clock?
A gambler simulates 20 plays of a card game, wins 1 time, and estimates P(winning) = 1/20 = 0.05 He then simulates 5,000 plays of the game, wins 450 times, and estimates P(winning) = 450/5,000 = 0.09 Which estimate, 0.05 or 0.09 is probably closer to the true theoretical probability and why? A. 0.05 because it's a smaller number B. 0.09 because the Law of Large Numbers says that the larger the number trials, the better the estimate of the probability C. 0.05 because the Law of Small Numbers says that the smaller the number trials, the better the estimate of the probability D. Both are equally close
certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a one-hour flight is .04. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully.
The probability of a thunderstorm on Memorial Day is 0.13 and the probability of a thunderstorm on Independence Day is 0.59. Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial and Independence Day?
A researcher wants to find the factors affecting the probability that a person suffers from heart diseases. Let Age denote the age of the person, let BMI denote whether the BMI of the preson is above 30 (BMI = 1) or below 30 (BMI = 0), and let smoker denote whether the person is a smoker (smoker= 1) or not (smoker=0). She collects a random sample of 1,000 individuals from the general population and estimates the following logit regression: Pr(Heart disease Age, BMI, Smoker) - F(2.46 +0.05Age + 0.04BMI + 0.04 Smoker). (0.98) (1.09) (1.31) (1.31) Standard errors are given in parentheses. The binary dependent variable, Heart disease denotes the probability of a person suffering from heart disease keeping Age, BMI, and smoker constant. The predicted probability that Henry who is currently aged 58, whose BMI is above 30, and is a smoker, will suffer from a heart disease is (Round your answer to four decimal places.)
Suppose a lung cancer test is 85% sensitive and 93% specific. That is, the test will produce 85% true positive results for those with lung cancer and 93% true negative results for those without lung cancer. Suppose that 3.2% of people actually have lung cancer. If a randomly selected individual tests positive, what is the probability he or she does not have cancer? YOUR ANSWER SHOULD BE BETWEEN O AND 100 AND ROUNDED To 4 DECIMAL PLACES. (e.g. 59.5321 would be 59.5321%)
15 The probability of a randomly selected adult in one country being infected with a certain virus is 0.005. In tests for the virus, blood samples from 15 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus. The probability that the combined sample will test positive is (Round to three decimal places as needed.) Is it unlikely for such a combined sample to test positive? O A. It is not unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is greater than 0.05. OB. It is unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is greater than 0.05. OC. It is not unlikely for such a combined sample to test positive, because the probability that the combined sample will…
The probability that a box contains a large particle is 0.1. What is the probability that 2nd large particle is found exactly on the 18th box?
Consider 2 experiments. Experiment 1:4 fair dices are tossed. The person wins he/she gets one or more 1's. Experiment 2: 8 fair dices are tossed. The person wins if he/she gets two or more l’s. Identify which experiment has a higher probability of winning.
Q: A certain virus infects one in every 20 people. A test used to detect the virus in a person delivers positive outcome at 85% accuracy for infected persons. Moreover, it provides negative outcome for healthy persons at 95% accuracy. Compute followings: Find the probability that a person has the virus given that his test outcome is positive. Find the probability that a person does not have the virus given that his test outcome is negative. Find the probability that a person has the virus given that his test outcome is negative. Subject/Course: Introduction to Data Science Note: Use "Confusion Matrix" technique to solve this question!
The fraction of a large population that has a specific blood type T is .08 (8%). For blood donation purposes it is necessary to find 4 people with type T blood. If randomly selected individuals from the population are tested one after another, then (a) What is the probability y persons have to be tested to get 5 type T persons, and (b) What is the probability that over 80 people have to be tested?

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS