You wish to test the following claim (H) at a significance level of a = 0.02.Ho: P₁ = P2Ha: P₁ P2You obtain 425 successes in a sample of size n₁ 451 from the first population. You obtain437 successes in a sample of size n₂ = 460 from the second population. For this test, youshould NOT use the continuity correction, and you should use the normal distribution as anapproximation 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

Answered: Image /qna-images/answer/d30a8032-4e80-4b12-8603-75f8d257a69a.jpg

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 at a significance level of α=0.10α=0.10.      H0:p=0.29H0:p=0.29      H1:p<0.29H1:p<0.29You obtain a sample of size n=352n=352 in which there are 88 successful observations.For this test, we use the normal distribution as an approximation for the binomial distribution.For this sample... The test statistic (zz) for the data =   The p-value for the sample =
You wish to test the following claim (HaHa) at a significance level of α=0.001.      Ho:p=0.81Ho:p=0.81      Ha:p≠0.81Ha:p≠0.81You obtain a sample of size n=454n=454 in which there are 360 successful observations. 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) α greater than α 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 population proportion is not equal to 0.81. There is not sufficient evidence to warrant rejection of the claim that the population proportion…
You wish to test the following claim (Ha) at a significance level of α=0.01      Ho:p1 = p2      Ha:p1 > p2You obtain 69 successes in a sample of size n1=623 from the first population. You obtain 39 successes in a sample of size n2=430 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) α greater than α 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 greater than the second population proportion. There is not…
You wish to test the following claim (Ha) at a significance level of α=0.005 Ho:p=0.61Ho:p=0.61 Ha:p<0.61Ha:p<0.61You obtain a sample of size n=391n=391 in which there are 225 successful observations. 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... A.) less than (or equal to) αα B.) greater than αα This test statistic leads to a decision to... A.) reject the null B.) accept the null C.) fail to reject the null As such, the final conclusion is that... A.) There is sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.61. B.) There is not sufficient evidence to warrant…
You wish to test the following claim ( Ha) at a significance level of α =0.10. Ho: p= 0.62Ha: p> 0.62 You obtain a sample of size n=741 in which there are 466 successful observations. 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) αorgreater than α This test statistic leads to a decision to...reject the nullaccept the nullfail to reject the null As such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.62.There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.62.The sample data…
You wish to test the following claim (Ha) at a significance level of α=0.10 Ho:p1=p2 Ha:p1>p2You obtain 97 successes in a sample of size n1=528 from the first population. You obtain 51 successes in a sample of size n2=576 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 critical value for this test? (Report answer accurate to two decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three 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 greater than the second…
You wish to test the following claim (HaHa) at a significance level of α=0.001. Ho:p1=p2 Ha:p1<p2You obtain a sample from the first population with 407 successes and 58 failures. You obtain a sample from the second population with 366 successes and 42 failures. 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 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 less than the second population proportion. There…
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:p=0.45 Ha:p>0.45You obtain a sample of size n=584 in which there are 290 successful observations. 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 critical value for this test? (Report answer accurate to two decimal places.)critical value = What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.)standardized test statistic = The standardized test statistic is... in the critical region not in the critical region This standardized 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 population proportion is greater than 0.45. There is not sufficient evidence to…
You wish to test the following claim (HaHa) at a significance level of α=0.01. Ho:p1=p2 Ha:p1<p You obtain 148 successes in a sample of size n1=577 from the first population. You obtain 230 successes in a sample of n2=658 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 at a significance level of α=0.05α=0.05. H0:p=0.41H0:p=0.41 H1:p>0.41H1:p>0.41You obtain a sample of size n=567n=567 in which there are 257 successful observations.For this test, we use the normal distribution as an approximation for the binomial distribution.For this sample... The test statistic (zz) for the data = (Please show your answer to three decimal places.) The p-value for the sample = (Please show your answer to four decimal places.) The p-value is... greater than αα less than (or equal to) αα (Recall that when p(-value) is low, the null must go; when p(-value) is high, the null must fly)Base on this, we should .... accept the null hypothesis reject the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... The sample data suggest that the population proportion is significantly greater than 0.41 at the significant level of αα = 0.05. The sample data suggest that the population…
You wish to test the following claim (H) at a significance level of a = 0.05. Ho: P₁ = P2 Ha: P1 > P2 You obtain 58% successes in a sample of size n₁ = 790 from the first population. You obtain 48.6% successes in a sample of size n₂ = 276 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 = 1.552 x What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = 0.0603 x The p-value is... 03 less than (or equal to) a O greater than a This test statistic leads to a decision to... Oreject the null hypothesis O accept the null hypothesis O fail to reject the null hypothesis As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is…
You wish to test the following claim (Ha) at a significance level of α=0.005α=0.005. Ho:p=0.61 Ha:p<0.61 You obtain a sample of size n=391n=391 in which there are 225 successful observations. 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... A.) less than (or equal to) αα B.) greater than α This test statistic leads to a decision to... A.)reject the null B.) accept the null C.) fail to reject the null As such, the final conclusion is that... A.)There is sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.61. B.)There is not sufficient evidence to warrant rejection of the claim that…

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