Problem #3: A high-risk group of 808 male volunteers was included in a major clinical trial fortesting a new vaccine for type B hepatitis. The vaccine was given to 328 personsrandomly selected from the group, and the others were injected with a neutralsubstance (placebo). 15 of the vaccinated people and 33 of the nonvaccinated oneslater got the disease.Problem #3(a):Problem #3(b):Problem #3 (c):Problem #3 (d):Problem #3(e):We wish to test the hypothesis that the probability of getting type B hepatitis isdifferent (higher or lower) for people who were vaccinated compared with peoplewho were not, using the 5% significance level.(a) If we use the contingency table method to test this hypothesis, find the 4values in the expected table.(b) Find the value of the test statistic (using the contingency table method).(c) Find the critical value (using the contingency table method).(d) Using the z-test for proportions, find the value of the test statistic (and verifyx², when there is one degree of freedom).that z=(e) Find thep-value.TALOSeparate your answers with a comma.The order doesn't matter.Answers correct to 4 decimals.test statistic (correct to 3 decimals)critical value (correct to 3 decimals)answer correct to 2 decimalsp-value (correct to 4 decimals)

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Answered: Problem #3: A high-risk group of 808…

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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If you roll a 10 sided die until you get a 1, what would be the expected value and variance of the resulting probability distribution?
Problem #3: A high-risk group of 732 male volunteers was included in a major clinical trial for testing a new vaccine for type B hepatitis. The vaccine was given to 412 persons randomly selected from the group, and the others were injected with a neutral substance (placebo). 14 of the vaccinated people and 32 of the nonvaccinated ones later got the disease. We wish to test the hypothesis that the probability of getting type B hepatitis is different (higher or lower) for people who were vaccinated compared with people who were not, using the 10% significance level. (a) If we use the contingency table method to test this hypothesis, find the 4 values in the expected table. (b) Find the value of the test statistic (using the contingency table method). (c) Find the critical value (using the contingency table method). (d) Using the 2-test for proportions, find the value of the test statistic (and verify that =² = x, when there is one degree of freedom). (e) Find the p-value. Separate your…
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A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 51 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 5000 aspirin tablets actually has a 5% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?
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What does a rare outcome signifies?
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 52 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 4000 aspirin tablets actually has a 5% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is ______ (Round to four decimal places as needed.) The company will accept ____% of the shipments and will reject ____% of the shipments, so______________ (many of the shipments will be rejected or almost all of the shipments will be accepted. (Round to two decimal places as needed.)
A factory uses a specific machine to produce pieces. From previous data, we know that 97% of the time the machine is set up correctly. If this is the case, it produces 95% acceptable (non-defective) pieces. However, if it is not set up correctly, it produces only 40% of acceptable pieces Q23 Given that the selected piece is non-defective, what is the probability that the machine is set up correctly? Your answer should be in % and have two digits after the period. So, if your answer is 50.023%, enter 50.02. Your Answer:
If one rejects the null hypothesis at the 5% level, then there is a 5% chance that you made the wrong decision. True /False
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 47 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 6000 aspirin tablets actually has a 3% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is (Round to four decimal places as needed.)

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