You wish to test the following claim (Ha) at a significance level of a = 0.005.Ho: P1 = P2Ha: P₁ P2You obtain 586 successes in a sample of size n₁ = 685 from the first population. You obtain 504successes in a sample of size n2 = 541 from the second population.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...O less than (or equal to) aOgreater than aThis test statistic leads to a decision to...O reject the nullO accept the nullO fail to reject the null As such, the final conclusion is that...O There is sufficient evidence to warrant rejection of the claim that the first populationproportion is less than the second population proportion.O There is not sufficient evidence to warrant rejection of the claim that the first populationproportion is less than the second population proportion.O The sample data support the claim that the first population proportion is less than the secondpopulation proportion.O There is not sufficient sample evidence to support the claim that the first populationproportion is less than the second population proportion.

given data sample 1 : n1 = 685x1 = 586sample 2 : n2 = 541x2 = 504α = 0.005claim : p1 < p2p^1 =…

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 (Ha) at a significance level of a = 0.001. H,:P = P2 Ha:pi > p You obtain 303 successes in a sample of size n = 488 from the first population. You obtain 159 successes in a sample of size ry = 266 from the second population. What is the test statistic for this sample? test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O The sample data support the claim that the first population…
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You wish to test the following claim (H) at a significance level of a = 0.001. Ho: 112 Ha:> H2 You obtain the following two samples of data. Sample #1 65.2 79.3 87.1 48.3 85.7 51.7 42.6 58.3 56.5 94.7 61.1 86.4 91.8 71 68.1 58.3 68.1 109.3 103.6 35 67.2 52.5 98.4 114.5 79.3 83.2 57.2 63.2 101.6 56.5 94.7 76.8 55.9 31.7 67.2 55.9 81 26.5 43.9 Sample #2 84.2 49.5 59.9 70.9 40.5 79.7 50.1 58.9 71.9 16.9 53.8 69.3 55.6 65.6 65.6 75.4 42.5 45.8 74.8 44.2 30.9 67.7 59.9 72.5 66.1 47.3 90.9 53.3 85.8 66.7 39.5 68.7 80.4 30.9 57.3 61.5 79.1 68,2 57.8 39.5 64.6 34.3 58.3 56.7 59.4 83.4 69.3 57.3 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? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value =
You wish to test the following claim (H) at a significance level of a = 0.001. H₂: P₁ = P2 Ha: P₁ P2 You obtain 61.9% successes in a sample of size ₁ = 423 from the first population. You obtain 53.1% successes in a sample of size n₂ = 531 from the second population. 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) a greater than a This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null As such, the final conclusion is that... O 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 population proprtion. The sample data…
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