Test the following hypotheses for a multinomial probability distribution by using the x goodness of fit test. Test the following hypotheses for a multinomial probability distribution by using the x goodness of fit test.Ho : PA = 0.40 , PB = 0.20, and pc = 0.40Ha : The probabilities are notPA = 0.40 , PB = 0.20 , and pc = 0.40A sample of size 200 yielded 20 in category A, 110 in category B, and 70 in category C.Use a = 0.01 and test to see whether the probabilities are as stated in Ho.a. Use the p-value approach. Use Table 3 of Appendix B.(to 2 decimals)The p-value is - Select your answerConclusion:Select your answer -b. Repeat the test using the critical value approach.X6.01(to 3 decimals)(to 2 decimals)Conclusion:Select your answer ->>

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Answered: Test the following hypotheses for a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You sample a random observation of a Poisson distributed random variable with expected value 1. The result of the random draw determines the number of times you toss a fair coin. What is the probability distribution of the number of heads you will obtain?
What is the answer to this?
A vending machine has been known to be "finicky," that is, it will only sometimes accept dollar bills that are fed into it. Let X represent the number of bills accepted out of the last four tried. X 0 1 2 3 4 probability 0.05 0.15 0.15 0.22 0.33 Does the table below show a correct probability model for X? Yes, because all probabilities and all values for X are represented. Yes, because all of the probabilities are between 0 and 1. No, because the sample space is missing values for X. No, because the probabilities do not sum to 1.
It has been found that 2 out of every 10 people who visit a local store purchase milk. If we randomly select a sample of 13 visitors to the store, what is the probability that: More than three of the visitors will purchase milk? Interpret youranswer.
Dartmouth Distribution Warehouse makes deliveries of a large number of products to its customers. It is known that 82% of all the orders it receives from its customers are delivered on time. Let the proportion of orders in a random sample of 100 that are delivered on time. Find the probability that the value of hat p will be less than 0.87 .
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that all 5 categories have the probabilities listed below. Complete the table. Report all answers correct to three decimal places. = 0.19, pc = 0.23, pp = 0.18, pE = 0.2 Ho:PA = 0.2, pB Ha:At least one probability is not correct (claim) a.) Complete the table below Expected Frequency Observed Residual Category Frequency Values A 12 19 C 24 D 6. Total b.) What is the chi-square test-statistic for this data? c.) For significance level alpha 0.1, what is the chi-square Critical Value? Critical Value XÃ %3D d.) What would be the conclusion of this hypothesis test? O Reject the Null Hypothesis and support the claim that at least one probability is not correct Fail to reiect the Null Hypothesis and fail to support the claim that at least one probability is not E.
You are about to start playing matches of a video game, but you cannot play all night because you must study for your exam tomorrow. Suppose the probability of winning each match with probability 0.8 and the outcome of each match is independent. You tell yourself that you will stop playing and start studying after losing 3 matches. What is the probability that you play at most 10 matches? Hint: Use the negative binomial distribution. You need to define a random variable.
The Blacktop Speedway is a supplier of automotive parts. Included in stock are 8 speedometers that are correctly calibrated and two that are not. Three speedometers are randomly selected without replacement. Let the random variable a represent the number that are not correctly calibrated. Complete the probability distribution table. (Report probabilities accurate to 4 decimal places.) P(x) 1 3 Find the mean of this probability distribution. (Appropriate rounding rules apply.) mean =
Military radar and missile detection systems are designed to warn a country of an enemy attack. A reliability question is whether a detection system will be able to identify an attack and issue a warning. Assume that a particular detection system has a 0.70 probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions. (a) What is the probability that a single detection system will detect an attack? (b) If two detection systems are installed in the same area and operate independently, what is the probability that at least one of the systems will detect the attack? (c) If three systems are installed, what is the probability that at least one of the systems will detect the attack? (d) Would you recommend that multiple detection systems be used? Explain. Multiple detection systems be used because P(at least 1) for multiple systems very close to 1.
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that all 5 categories have the probabilities listed below. Complete the table. Report all answers correct to three decimal places. Ho:PA = 0.17, pB = 0.15, pc = H: At least one probability is not correct (Claim) 0.31, pp = 0.19, på = 0.18 a.) Complete the table below Observed Frequency Expected Frequency Residual Category Values 17 B. 9. C 22 22 Total Residual Values Degrees of Freedom Expected Frequency (0 E) # of categories -1 E = (Prob,) - (Total) R E b.) What is the chi-square test-statistic for this data? c.) For signifícance level alpha 0.1, what is the chi-square Critical Value? Critical Value x = E.
Your manufacturing plant produces air bags, and it is known that 50% of them are defective. Five air bags are tested. Compute the probability distribution of the binomial variable described above, and use it to compute the probability that if five air bags are tested, at least one will be defective and at least one will not.
The Blacktop Speedway is a supplier of automotive parts. Included in stock are 10 speedometers that are correctly calibrated and two that are not. Three speedometers are randomly selected without replacement. Let the random variable xx represent the number that are not correctly calibrated. (Note: Please report probabilities accurate to 4 decimal places.) x P(x) 0 1 2 3 Find the mean of this probability distribution. (Note: Appropriate rounding rules apply.) Mean =

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