Consider a binomial experiment with n trials for which the probability of a success on any giventrial is q = 1/2. Suppose that the number of successes in n trials is to be used to test the null hypothesisHO: q = 1/2 against the alternative hypothesis Hi: q = 1/2.a. Derive an expression for the likelihood ratio statistic.b. Show that the critical region of the likelihood ratio test can be written asx In x + (n - x) In(n - x) 2 K

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Answered: Consider a binomial experiment with n…

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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A random sample of 90 observations is selected from a binomial population with unknown probability of success p. The computed value of p is 0.79. (1) Test Ho : p = 0.5 against H. : p > 0.5. Use a = 0.01. test statistic z = critical z score The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that p = 0.5. O B. We can reject the null hypothesis that p = 0.5 and accept that p > 0.5. %3D (2) Test Ho : p = 0.55 against H. : p < 0.55. Use a = 0.05. test statistic z = critical z score The final conclusion is A. We can reject the null hypothesis that p B. There is not sufficient evidence to reject the null hypothesis that p = 0.55. 0.55 and accept that p < 0.55. (3) Test Ho : p = 0.6 against Ha:p # 0.6. Use a = 0.05. test statisticz = positive critical z score negative critical z score The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that p = 0.6. B. We can reject the null hypothesis that p = 0.6 and accept that p #…
Independent random samples of sizes n1 = 204 and n2 = 204 were taken from two populations. In the first sample, 179 of the individuals met a certain criteria whereas in the second sample, 181 of the individuals met the same criteria. Test the null hypothesis H0:p1=p2H0:p1=p2versus the alternative hypothesis HA:p1>p2HA:p1>p2. Calculate the z test statistic, testing the null hypothesis that the population proportions are equal. Round your response to at least 2 decimal places. What is the approximate value of the p-value? round to four decimal places.
A random sample of 90 observations is selected from a binomial population with unknown probability of success p. The computed value of p is 0.79. (1) Test Ho : p = 0.5 against Ha : p > 0.5. Use a = 0.01. test statistic z = critical z score The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that p = 0.5. B. We can reject the null hypothesis that p = 0.5 and accept that p > 0.5.
The results of a hypothesis test are reported as follows in a scientific report: t(38) = -3.13, p < .05. Based on this information, which statement below is not correct? The sample size was n = 39. The conclusion reached by the researcher was to reject the null hypothesis. The sample mean was greater than the hypothesized population mean. The probability of a Type I error is less than 5%.
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sample of n = 12 young adults who each experienced 5 or more different homes before they were 16 years old questionnaire for which the general population has an average score of µ = 40 in terms of well being scores for this sample : X 38 37 41 35 42 40 33 33 36 38 32 39 , is well-being for frequent movers significantly different from well-being in the general population? Use a two-tailed test with α = .05. State the hypotheses. H0: H1:
Suppose the Total Sum of Squares for a completely randomized design with 5 treatments and 30 total measurements (six per treatment) is equal to 500. In each of the following cases, conduct an F-test of the null hypothesis that the mean responses for the five treatments are the same. Use α = .10 b. SST is 50% of SS(Total)

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