1. The side effects of a new drug are being tested against a placebo. A simple random sample of565 patients yields the results below. At a significance level of a = 0.10, is there enough evidenceto conclude that the treatment is independent of the side effect of nausea?ResultDrugPlaceboTotalNausea361349No nausea254262516Total290275565a. The null hypothesis Hg:b. The alternative hypothesis Ha:c. The level of significance a =d. The degrees of freedom:e. The test statistic:f.The critical value:g. Decision:

Answered: 1. The side effects of a new drug are…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly more than 0.77. You use a significance level of α=0.002α=0.002. H0:p=0.77H0:p=0.77 H1:p>0.77H1:p>0.77You obtain a sample of size n=324n=324 in which there are 256 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) 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... There is sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is more than 0.77. There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have…
1. Calculate r2 2. Interpret r2 in the context of this research. How large is this effect (small, medium, large)? 3. Make an statistical decision about the null using alpha =.05. Will you reject or retain the null based on your data? 4. Provide a conclusion of the data using Descriptive statistics and the context of the research.
4. Test the claim about the population mean, μ,at the given level of significance using the given sample statistics. Claim: μ≠6000; α=0.08; σ=399. Sample statistics: x=6300, n=37 Determine the outcome and conclusion of the test. Choose from the following. A. Fail to reject H0. At the 8% significance level, there is not enough evidence to reject the claim. B. Reject H0. At the 8% significance level, there is enough evidence to reject the claim. C. Reject H0. At the 8% significance level, there is enough evidence to support the claim. D. Fail to reject H0. At the 8% significance level, there is not enough evidence to support the claim.
The numbers of online applications from simple random samples of college applications for 2004 and for the 2009 were taken. In 2004, out of 491 applications, 206 of them were completed online. In 2009, out of 268 applications, 145 of them were completed online. Test the claim that the proportion of online applications in 2004 was equal to the proportion of online applications in 2009 at the .10 significance level.Claim: Select an answer p 1 > p 2 u 1≠u 2 p 1≠p 2 u 1 u 2 u 1 ≤ u 2 which corresponds to Select an answer H1: u 1 p 2 H0: p 1≠p 2 H1: p 1 u 2 H1: p 1≠p 2 H1: u 1≠u 2 H0: p 1 = p 2 H0: u 1 ≤ u 2 Opposite: Select an answer u 1 p 2 p 1 u 2 p 1≠p 2 which corresponds to Select an answer H1: p 1≠p…
You wish to test the following claim (Ha) at a significance level of a = Ho: P₁ = P2 Ha: P₁ P2 You obtain a sample from the first population with 120 successes and 403 failures. You obtain a sample from the second population with 39 successes and 278 failures. The test statistic is... in the critical region O not in the critical region critical value = ± test statistic = This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis = 0.005. O There is not sufficient evidence to support second population proportion. [three decimal accuracy] [three decimal accuracy] As such, the final conclusion is that... There is sufficient evidence to support that the first population proportion is not equal to the second population proportion. first population proportion not equal to the
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