Given the two independent samples below, conduct ahypothesis test for the desired scenario. Assume allpopulations are approximately normally distributed.Sample 1 Sample 2n₁ = 118|n2== 161x1 =x2 =26.224.4S1 =3.882 = 4.4Test the claim:Given the null and alternative hypotheses below, conduct ahypothesis test for a = 0.05.Η: μι = με1Ha: με 7 μεa. Given the alternative hypothesis, the test isSelect an answer ✰b. Determine the test statistic. Round to four decimalplaces.t =c. Find the p-value. Round to 4 decimals.p-value=d. Make a decision.Reject the null hypothesis.Fail to reject the null hypothesis.

Answered: Image /qna-images/answer/ce868af0-48fd-4c30-b9aa-59779deb821f.jpg

Answered: Given the two independent samples…

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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Aurora is conducting a one-sample ?z test of the null hypothesis ?0:?=0.12H0:p=0.12 against the alternative ??:?<0.12Ha:p<0.12, where ?p is the population proportion. She requires her results to be statistically significant at a level of ?=0.10α=0.10. She selects a random sample of size ?n = 200 and calculates the sample proportion, ?̂ p^ = 0.10. What is the value of the standardized test statistic and ?P-value of her test? Give ?z precise to two decimal places and the ?P-value precise to four decimal places.
Test the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: µ= 50; a = 0.04; o = 3.91. Sample statistics: x= 49.2, n = 77 %3D Identify the null and alternative hypotheses. Choose the correct answer below. Ο Α. H : μ 50 В. Но: н#50 %3D Ha: H> 50 Ha: H= 50 C. H : μ 50 HaiH 50 Ha: µ= 5 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.)
Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed. Sample 1 Sample 2 n1= 953 n2= 880 x¯1= 381 x¯2= 456 s1= 156 s2= 170 Test the claim: Given the null and alternative hypotheses below, conduct a hypothesis test for α=0.05.H0: μ1=μ2Ha: μ1≠μ2 Given the alternative hypothesis, the test is Determine the test statistic. Round to four decimal places.t= Find the pp-value. Round to 4 decimals.p-value = Make a decision. Fail to reject the null hypothesis. Reject the null hypothesis.
Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ=40; α=0.07; σ=3.78. Sample statistics: x=38.2, n=53 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ<40 Ha: μ=40 B. H0: μ=40 Ha: μ≠40 C. H0: μ=40 Ha: μ>40 D. H0: μ>40 Ha: μ=40 E. H0: μ≠40 Ha: μ=40 F. H0: μ=40 Ha: μ<
Consider the hypothesis statement shown below using α=0.01 and the data to the right from two independent samples. H0: μ1−μ2=0 H1: μ1−μ2≠0 a) Calculate the appropriate test statistic and interpret the result. b) Calculate the p-value and interpret the result. x1 = 237 x2 = 258 σ1 = 48 σ2 = 55 n1 = 43 n2 = 37
Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ=50; α=0.09; σ=3.33. Sample statistics: x=48.2, n=67 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ=50 Ha: μ≠50 Your answer is correct. B. H0: μ=50 Ha: μ<50 C. H0: μ≠50 Ha: μ=50 D. H0: μ>50 Ha: μ=50 E. H0: μ=50 Ha: μ>50 F. H0: μ<50 Ha: μ=50 Calculate the standardized test statistic. The standardized test statistic is enter your response here. (Round to two decimal places as needed.)
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: μ1 − μ2 ≤ 0 Ha: μ1 − μ2 > 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x1 = 25.7 x2 = 22.8 σ1 = 5.8 σ2 = 6 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.) (c) With ? = 0.05, what is your hypothesis testing conclusion? Reject H0. There is sufficient evidence to conclude that μ1 − μ2 > 0.Reject H0. There is insufficient evidence to conclude that μ1 − μ2 > 0. Do not reject H0. There is insufficient evidence to conclude that μ1 − μ2 > 0.Do not Reject H0. There is sufficient evidence to conclude that μ1 − μ2 > 0.
Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed. Sample 1 n₁ = 827 152.2 01 = 7.1 Test the claim: Given the null and alternative hypotheses below, conduct a hypothesis test for a = 0.05. Ho: 1 = 2 Ha: μι < με Sample 2 n₂ = 703 T2 = 53.5 02= 7.7 a. Given the alternative hypothesis, the test is Select an answer ✓ b. Determine the test statistic. Round to four decimal places. Z= c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis.
Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed. Sample 1 Sample 2 n1 = 998 n2 = 893 x1 = 394 T2 = 356 S1 = 154 S2 = 169 Test the claim: Given the null and alternative hypotheses below, conduct a hypothesis test for a = 0.05. Ho: Hi = µ2 Ha: µ1 > µ2 a. Given the alternative hypothesis, the test is Select an answer v b. Determine the test statistic. Round to four decimal places. c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis.
Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ=50; α=0.05; σ=3.55. Sample statistics: x=49.2, n=80 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ=50 Ha: μ≠50 Your answer is correct. B. H0: μ<50 Ha: μ=50 C. H0: μ=50 Ha: μ>50 D. H0: μ=50 Ha: μ<50 E. H0: μ≠50 Ha: μ=50 F. H0: μ>50 Ha: μ=50 Calculate the standardized test statistic. The standardized test statistic is nothing. (Round to two decimal places as needed.) More
Determine P and o- from the given parameters of the population and sample size. μ = 78, o = 24, n = 36 P=0
Describe type I and type II errors for a hypothesis test of the indicated claim. A furniture store claims that at least 40% of its new customers will return to buy their next piece of furniture. Describe the type I error. Choose the correct answer below. OA. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.40, but you fail to reject Ho: p20.40. OB. A type I error will occur when the actual proportion of new customers who return to buy their next piece furniture is at least 0.40, but you reject Ho: p20.40. OC. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.40, but you reject Ho: p ≤ 0.40. OD. A type I error will occur when the actual proportion of new customers who return to buy their next piece f furniture is no more than 0.40, but you fail to reject Ho: p ≤0.40. Describe the type II error. Choose the correct answer…

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