b) Suppose that Y₁, Y₂,..., Y₁0 is a random sample from a bernoulli (P) distribution.It is desired that the null hypothesis Ho: P = 0.5 against the alternativehypothesis H₁: P = 0.1 at a level of significance. If Ho is rejected whenΣı Y = 1.i)Determine the level of significance.ii)Find the power of the test.

Given that H0 : p = 0.5 , H1 : p = 0.1

Answered: b) Suppose that Y₁, Y₂... Y₁0 is 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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22.
Assume that a simple random sample has been selected from a normally distributed population. Identify the null hypothesis, alternative hypothesis, test statistic, P-value (or range of p-values), conclusion about the null hypothesis, and final conclusion that addresses the original claim. 1) Test the claim that the mean age of the graduate school population in one city is less than 33 years. Sample data are summarized as n 67, x = 42.4 years, and s = 31.5 years. Use a significance level of a = 0.10.
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7. The test statistic of z = 1.80 is obtained when testing the claim that p+ 0.314. a) Identify the hypothesis test is being two-tailed, left-tailed or right-tailed. b) c) Find the P-value. Using the significance level of a = 0.05, should we reject H, or should we fail to reject H,?
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Ex K A 2 Consider a sample of 49 football games, where 30 of them were won by the home team. Use a 0.10 significance level to test the claim that the probability that the home team wins is greater than one-half. W S Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Ho: p=0.5 H₁: p>0.5 OB. Ho: p=0.5 H₁: p0.5 H₁: p=0.5 D Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) X mmand дв Monroe's Temp....docx. Removed 3 8.0 E D C $ 4 FA R F W SAMPLE Persuas....pdf % 5 V V T G 6 A B MacBook Air & Y 5373255 (1) (1).docx H & 7 U N * 8 J A DII 1 M ( 9 5373255 (1).docx K O < 1 H O L F 10 Clear all P Л. ... I PR { + Check answer ? command option Show All 1 F12 X L 1 de
6.STATISTICAL INFERENCEQuestion 3 a i)
2. Use a -test to test the claim o35 H o 35 urses Identify the test statistic. (Roul to three decimal places as needed.) е Home nments ebook oter Contents Itimedia Library Help me solve this View an example Get more help- Clear all: Check ansWET dy Plan ols for Sucress Type here to search 99+ 72°F A 56 F3 容+ F5 F6 Delete F7 F8 F9 PriSc Insert F10 (0)
Test the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: :40; a = 0.02; o = 3.74. Sample statistics: x= 38.2, n= 70 ..... Identify the null and alternative hypotheses. Choose the correct answer below. Ο Α. H : μ> 40 В. Но: - 40 Ha: µ = 40 Ha: µ 40 ОЕ. Но: н240 Ha: µ= 40 Ο F H: μ = 40 Hai µ#40 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is B. The critical values are ±
Suppose you wish to conduct a test of the research hypothesis that the median of a population is greater than 78. You randomly sample 15 measurements from the population and determine that 10 of them exceed 78. Set up and conduct the appropriate test of hypothesis at the 0.10 level of significance. Be sure to specify all necessary assumptions. What are the null and alternative hypotheses for this hypothesis test? A. Ho: n = 78 Ha: 178 C. Ho: n=10 Ha:n> 10 Ε. Ηρ:η=78 Ha:n78 Ho: n=10 Hg: η < 10 OF. Ho: n = 10 Ha: 110
M₂. Suppose that sample sizes are Consider the hypothesis test Ho: ₁ = ₂ against H₁: M₁ m₂ = 10 and n₂ = 10, that x₁ = 7.8 and ₂ = 5.6 and that s2 = 4 and s² = 9. Assume that o= 0 and that data are drawn from normal distributions. Use a = 0.05. Test the hypothesis and find the P-value. O a. Fail to reject the Null Hypothesis P-value = P(t > 1.93) and 0.025 1.93) and 0.025 < P-value < 0.05
8. Assume we have two independent normal population random variables, X and Y. We 15 having have samples from each population with n = nx 81.31, j construct one-sided 95% confidence intervals for ux 9 and m = ny %3D 78.61 and their sample variances, s 60.76, s, 48.24. Then x =

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