Suppose ten individuals present to a clinic to be vaccinated against a disease:3 of them will eventually contract the disease if not vaccinated- call this the disease susceptible group (D).7 of them will not contract the disease regardless of whether they are vaccinated- call this the well group (W).Assume that there is only enough vaccine for three of the patients, so the doses are to be randomlyrationed. The relevant random experiment consists of successively drawing three patients one-by-one without replacement from among the 10 to form the triple of patients who are to be vaccinated.Suppose our interest is in the jointly distributed random variablesX = number of D-type patients in the first pair of a randomly drawn triple of patientsandY = number of D-type patients in the second pair of a randomly drawn triple of patients.What is the sample space corresponding to these jointly distributed random variables?a) {(0,0), (0,1); (1,2), (2,1), (2,2)}b) {(0,0), (0,1), (1,0), (2,1), (2,2)}c) {(0,0), (1,0), (1,1), (1,2), (2,1), (2,2)}d) {(0,0), (0,1), (1,0), (1,1), (1,2), (2,1), (2,2)}

10 individuals present to a clinic to be vaccinated against a disease.If not vaccinated, 3 of them…

Answered: Suppose ten individuals present to 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

See similar textbooks

Similar questions

A survey of 1000 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 58% of the females and 51% of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 600 females, 348 reported window tinting as their preferred luxury upgrade of choice, while of 400 males, 204 reported window tinting as their preferred luxury upgrade of choice. Complete parts (a) through (d) below. a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.05 level of significance? State the null and alternative hypotheses, where π1 is the population proportion of females who said they prefer window tinting as a luxury upgrade and π2 is the population proportion of males who said they prefer window tinting as a luxury…
Let A and B are events of an experiment and P(A) = 1/4, P(AUB) = 1/2 then value of P(B/A) is
In a large clinical trial, 393,215 children were randomly assigned to two groups. The treatment group consisted of 198,539 children given a vaccine for a certain disease, and 28 of those children developed the disease. The other 194,676 children were given a placebo, and 96 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n,, p1, q1, n2, P2, 92, p, and q. n1 = (Type an integer or a decimal rounded to eight decimal places as needed.) 91 = (Type an integer or a decimal rounded to eight decimal places as needed.) n2 P2 (Type an integer or a decimal rounded to eight decimal places as needed.) 92 (Type an integer or a decimal rounded to eight decimal places as needed.) p= (Type an integer or a decimal rounded to eight decimal places as needed.) q = (Type an integer or a decimal rounded to eight decimal places as needed.)
In a previous poll, 3,1% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1199 adults with children under the age of 18 were selected at random, and 350 of those 1199 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the α = 0.05 significance level > 10 and the sample size is less than 5% of the population size, and the adults in the sample Because npo (1-Po) = 256.5 hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? ₹ 31 Ho р 31 versus H₁: = р (Type integers or decimals. Do not round.) Find the test statistic, Zo Zo= (Round to two decimal places as needed) were selected at random, all of the requirements for testing the
4. In clinical trials for treatment of a skin disorder, 697 of 2115 patients receiving a NEW proposed treatment were cured of the disorder and 642 of 2060 patients receiving the current standard treatment were cured of the disorder. Each sample is the result of a randomized experiment. Perform a Hypothesis Test using a = 0.05 level of significance, and determine if there is evidence to conclude that the NEW treatment cures a higher proportion of patients than the current treatment. 1) Set up a Hypothesis Test, 2) verify requirements, 3) use both the classical and p-value approach to justify and show results of the Hypothesis Test, and 4) state your conclusion.
9
In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consisted of 201,229 children given the Salk vaccine for polio, and the other 200,745 children were given a placebo. Among those in the treatment group, 33 developed polio, and among those in the placebo group, 115 developed polio. If we want to use the methods for testing a claim about two population proportions to test the claim that the rate of polio is less for children given the Salk vaccine, are the requirements for a hypothesis test satisfied? Explain. A The requirements are not satisfied; the samples are not simple random samples that are independent. B. The requirements are satisfied; the samples are simple random samples that are independent, and for each of the two groups, the number of successes is at least 5 and the number of failures is at least 5. C. The requirements are satisifed; the samples are simple random samples…
55
A news article estimated that only 6% of those ages 65 and older who prefer to watch the news, rather than to read or listen, watch the news online. This estimate was based on a survey of a large sample of adult Americans. Consider the population consisting of all adult Americans ages 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.06. (a) A random sample of n = 100 people will be selected from this population and p̂, the proportion of people who prefer to watch online, will be calculated. What are the mean and standard deviation of the sampling distribution of p̂? (Round your standard deviation to four decimal places.) meanstandard deviation (b) Is the sampling distribution of p̂ approximately normal for random samples of size n = 100? Explain. (Select all that apply.) the sampling distribution of p̂ is approximately normalthe sampling distribution of p̂ is not approximately normalnp is…
A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. Tread wear can vary considerably depending on the type of car, and the group is trying to eliminate this effect by installing the two brands on the same random sample of 12 cars. In particular, each car has one tire of each brand on its front wheels, with half of the cars 00 chosen at random to have Brand 1 on the left front wheel, and the rest to have Brand 2 there. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (in inches) is recorded, as shown in the table EC below. Car 1 2 4 5 7 8 10 11 12 Brand 1 0.48 0.38 0.45 0.50 0.45 0.58 0.37 0.51 0.62 0.38 0.45 0.42 Brand 2 0.52 0.44 0.31 0.38 0.33 0.28 0.37 0.47 0.35 0.18 0.23 0.20 Difference - 0.04 - 0.06 0.14 0.12 0.12 0.30 0.00 0.04 0.27 0.20 0.22 0.22 (Brand 1 - Brand 2) Send data to calc... v Based on these data, can the consumer group conclude, at the 0.05 level of significance,…
Each scenario shows the data used for a randomisation test on a difference in two proportions. Both have a sample size of n = 30, with half being assigned to Treatment A and half to Treatment B. Scenario 1 has a difference in proportions of 0.4. Scenario 2 has a difference in proportions of 0.2. If we ran a randomisation test for each scenario, the one that would result in a smaller tail proportion in the resulting re-randomisation distribution is: Scenario 2 Scenario 1 Data Yes Yes Data Yes Yes 01 4 LO 5 02 7 No 03 No 0.2 11 →No 05 11 0.4 06 0.7 10 67 8 No DO 4 09 B B 10
In randomized, double-blind olinical trials of a new vaccine, rats were randomly divided into two groups. Subjects in group x received the new vaccine while subjects in group y received a control vaccine. After the first dose, 118 of 718 subjects in the experimental group (group x) experienced vamiting as a side effect. After the first dose, 74 of 619 of the subjects in the control group (group y) experienced vomiting as a side effect. Construct a 95% confidence interval for the difference between the two population proportions, P, - P, The 95% confidence interval for P,-P, is ( (Round to three decimal places as needed.)

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