You wish to test the following claim (Ha) at a significance level of a = 0.02.Ho: P₁ = P2Ha: P₁ P2You obtain 158 successes in a sample of size ni 752 from the first population. You obtain 64 successesin a sample of size n₂ = 287 from the second population.What is the critical value for this test? (Round to three decimal places.)Critical value = +What is the test statistic for this sample? (Round to three decimal places.)Test statistic =

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Answered: You wish to test the following claim…

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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You wish to test the following claim (H1H1) at a significance level of α=0.001 Ho:p1=p2 H1:p1≠p2You obtain 187 successes in a sample of size n1=236n1=236 from the first population. You obtain 283 successes in a sample of size n2=317n2=317 from the second population.What is the critical value for this test? (Report answer accurate to four decimal places.) critical value = ±±What is the test statistic for this sample? (Report answer accurate to four decimal places.) test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the…
As a researcher for the EPA, you have been asked to determine if the air quality in the UnitedStates has changed over the past 2 years. You select a random sample of 10 metropolitan areasand find the number of days each year that the areas failed to meet acceptable air quality Based on the data, answer the following questions.1. What is the purpose of the study?2. Are the samples independent or dependent?3. What hypotheses would you use?4. What is (are) the critical value(s) that you would use?5. What statistical test would you use?6. How many degrees of freedom are there?7. What is your conclusion?8. Could an independent means test have been used?9. Do you think this was a good way to answer the original question?
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:p1−p2=0Ho:p1-p2=0 Ha:p1−p2<0Ha:p1-p2<0You obtain 582 successes in a sample of size 745 from the first population. You obtain 446 successes in a sample of size 563 from the second population.What is the critical value for this test? (Report answer accurate to three decimal places.)critical value, zczc =
a) Justify the choice of test procedure. b) Can a student's t-test on paired samples be used as a test procedure for the given problem? Why or why not? c) Give the appropriate conclusion at 5% level of significance: At alpha = 0.05, ______.
You wish to test the following claim (H1) at a significance level of α=0.002. Ho:p1=p2 H1:p1≠p2You obtain a sample from the first population with 161 successes and 65 failures. You obtain a sample from the second population with 249 successes and 50 failures.What is the critical value for this test? (Report answer accurate to four decimal places.)critical value = ±What is the test statistic for this sample? (Report answer accurate to four decimal places.)test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second…
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:p1−p2=0Ho:p1-p2=0 Ha:p1−p2>0Ha:p1-p2>0You obtain 61 successes in a sample of size 424 from the first population. You obtain 59 successes in a sample of size 477 from the second population.What is the critical value for this test? (Report answer accurate to three decimal places.)critical value =
A researcher uses a between-subjects ANOVA to compare the mean SAT scores from 5 school districts in the state of Idaho. He computes the following test statistic: F(4, 15) = 6.23. School District 1 2 3 4 5 M 500 560 480 430 450 SD 100 120 130 110 140 The critical value = 5.87. State the appropriate decision (reject/fail to reject) regarding the null hypothesis (alpha = 0.05). Then give a brief explanation of what the results mean in the context of this study, given the information you have been provided. I'm not looking for APA here. If you were to reject or fail to reject the null, simply explain what that means using language that anyone should be able to understand
Assume the critical value on the right side of a Z distribution was 1.96. A researcher received a sample mean that he translated into a z score of 2.5. What decision should the researcher make regarding the null hypothesis?
Consider the following hypothesis test: h0 = 18 against h1 = 18 A sample of 48 provided a sample mean 17 and a sample standard deviation 4.5. Compute the value of the test statistic. What is the p-value? At , what is your conclusion? What is the rejection rule using the critical value? What is your conclusion?
You wish to test the following claim (Ha) at a significance level of α=0.02. Ho:p1=p2 Ha:p1<p2You obtain a random sample of size 299 from the first population, with 217 successes. You obtain a random sample of size 718 from the second population, with 549 successes.What is the test statistic for this sample? (Report answer accurate to 2 decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to 3 decimal places.)p-value = The p-value is... less than αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... Because our p-value is less than alpha, we fail to reject the Ho. There is not enough evidence to support the claim that the first population proportion is less than the second population proportion. Because our p-value is greater than alpha, we reject the Ho. There is enough evidence to support the claim that the first…

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