What can be said about a left - tailed z - test at 1% alpha level and a left – tailedz- test at 5% alpha level when the test statistic for both tests is z = - 1.07?(AAccept Ho at 1% significance and reject it at 10% significanceBAccept Ho for both 1% and 10% significanceReject Ho for both 1% and 10% significanceDReject Ho at 1% significance and accept it at 10% significance

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Answered: What can be said about a left - tailed…

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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ou wish to test the following claim (Ha) at a significance level of α=0.005.      Ho:μ1=μ2       Ha:μ1≠μ2You believe both populations are normally distributed, but you do not know the standard deviations for either, and you have no reason to believe the variances of the two populations are equal. You obtain a sample of size n1=18 with a mean of M1=81.6 and a standard deviation of SD1=8.2 from the first population. You obtain a sample of size n2=23 with a mean of M2=88.9 and a standard deviation of SD2=5.8 from the second population. What is the test statistic for this sample? (Report answer accurate to two decimal places.) test statistic =
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.       Ho:p1=p2Ho:p1=p2      Ha:p1>p2Ha:p1>p2 You obtain 226 successes in a sample of size n1=446n1=446 from the first population. You obtain 266 successes in a sample of size n2=583n2=583 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the z-score of the critical value? (Report answer accurate to three decimal places.) What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.) 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
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:p1=p2Ho:p1=p2      Ha:p1>p2Ha:p1>p2 You obtain 36.1% successes in a sample of size n1=460n1=460 from the first population. You obtain 31.3% successes in a sample of size n2=588n2=588 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. 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 =
10 .You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:p1=p2Ho:p1=p2 Ha:p1≠p2Ha:p1≠p2You obtain a sample from the first population with 97 successes and 375 failures. You obtain a sample from the second population with 76 successes and 189 failures. test statistic = [three decimal accuracy] p-value = [four decimal accuracy] The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis 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. There is not sufficient evidence to support that the first population proportion is not equal to the second population proportion.
Is the answer (I) We REJECT Ho at the 0.05 significance level. OR (II) We FAIL TO REJECT Ho at the 0.05 significance level.
After conducting your one-sample z-test, you find an obtained z-statistic of 1.08 and a critical z-statistic of 1.64. What do you conclude? Group of answer choices Fail to reject the null hypothesis; the sample mean and population mean are significantly different. Reject the null hypothesis; the sample mean and population mean are significantly different. Fail to reject the null hypothesis; the sample mean and population mean are not significantly different. The results of the test are inconclusive.
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:p1=p2 Ha:p1≠p2You obtain 94% successes in a sample of size n1=796n1=796 from the first population. You obtain 97.9% successes in a sample of size n2=329n2=329 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.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 hypothesis accept the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is not…
Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?
Consider the following two confidence intervals for B₁: 90% confidence interval: [0.49, 29.51] 95% confidence interval: [-2.29, 32.29] You want to test the null hypothesis that B₁ = 0 against the alternative hypothesis that ß₁ ‡ 0. Which of the following is true? Select all that apply. You reject the null hypothesis at the 5% significance level You fail to reject the null hypothesis at the 10% significance level. You fail to reject the null hypothesis at the 5% significance level You reject the null hypothesis at the 10% significance level
A hypothesis was tested twice using a two - tailed z- test. The first test was done with a 5% significance level while the second test using a 10% significance level. If the test stastic for both tests is - 1.75, which of the following is true? A At 5% and 10% alpha level, the null hypothesis is accepted B The null hypothesis is rejected at 5% and accepted at 10% C The null hypothesis rejected for both tests At 5% the null hypothesis is accepted and rejected at 10%
Test the claim that the proportion of men who own cats is significantly different than 30% at the 0.01 significance level. The null and alternative hypothesis would be: Ho:p = 0.3 Ho:p = 0.3 Ho:u = 0.3 Ho:µ = 0.3 Ho:p = 0.3 Ho:u = 0.3 H1:p # 0.3 H1:p > 0.3 H1:4 > 0.3 H1:µ < 0.3 H1:p < 0.3 H1:u + 0.3 The test is: left-tailed two-tailed right-tailed Based on a sample of 50 people, 22% owned cats The test statistic is: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis Reject the null hypothesis
You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.34. You use a significance level of α=0.005α=0.005. H0:p=0.34H0:p=0.34 H1:p≠0.34H1:p≠0.34You obtain a sample of size n=551n=551 in which there are 164 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 =

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