Which of the following is the definition of the p-value? The probability that we would get this sample. O The probability that we would see a test statistic this extreme or more, if the null hypothesis were true. O The probability that the alternative hypothesis is true given the sample data. O The probability that the alternative hypothesis is true given the population data.

Which of the following is the definition of the p-value? The probability that we would get this sample. O The probability that we would see a test statistic this extreme or more, if the null hypothesis were true. O The probability that the alternative hypothesis is true given the sample data. O The probability that the alternative hypothesis is true given the population data.

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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Which of the following correctly describes the meaning of the p-value? a. The p-value is the probability the alternative hypothesis is true. b. The p-value is the probability the null hypothesis is true. c. The p-value is the probability we would get results like our sample (or something more extreme), given the null hypothesis is true. d. The p-value is the probability the null hypothesis is true, given our sample. e. The p-value is the probability the alternative hypothesis is true, given our sample.
Subparts 1-3 have already been answered! please solve the remaining subparts Question 1 Write down the pdf as a table of a random variable X∼Binom(2,.3) and the pdf as a table of a random variable Y∼Binom(1,.4). What experiments might you imagine that would lead to consideration of the above? Suppose the variables are independent (meaning any event described using X is independent of any event described using y). Write down a table for the Random Variable Z:=X+Y. Use R to simulate the 2 experiments and Z (provide a pdf of the code and result). Approximate P(Z≤1) using your simulated data. Compare your answer to e) with the information in your table in part c). It should agree, so if it does not, go back and find any error and comment on your process of discovery here. Is Z a binomial random variable? (Hint: If it where, how does P(Z=0) depend on pp and how does the length of the table depend on nn and does the binomial distribution with the parameters that Z must have if…
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