You wish to test the following claim (H) at asignificance level of a = 0.002.Ho: P₁ = P₂Ha: P₁P₂ You obtain 499 successes in asample of size n₁ = 568 from the firstpopulation. You obtain 575 successes in asample of size n₂ = 699 from the secondpopulation. For this test, you should NOT usethe continuity correction, and you should usethe normal distribution as an approximationfor the binomial distribution.What is the z-score of the critical value? (Reportanswer accurate to three decimal places.)What is the standardized test statistic for thissample? (Report answer accurate to threedecimal places.)The test statistic is...O in the critical regionnot in the critical regionThis test statistic leads to a decision to...O reject the nullaccept the nullfail to reject the null

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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 (Ha) at a significance level of a = = 0.05. Ho: P₁ = P2 P2 Ha: P₁ You obtain 17.6% successes in a sample of size ni 598 from the first population. You obtain 11% successes in a sample of size n2 = 536 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... = O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null hypothesis accept the null hypothesis 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 greater than the second…
You wish to test the following claim (Ha) at a significance level of α=0.002. Ho:p1=p2 Ha:p1≠p2You obtain 21.7% successes in a sample of size n1=314 from the first population. You obtain 16.8% successes in a sample of size n2=577 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 = Is the p-value ... 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
You wish to test the following claim (HaHa) at a significance level of α=0.002. Ho:p1=p2 Ha:p1≠p2 You obtain 383 successes in a sample of size n1=498 from the first population. You obtain 318 successes in a sample of size n2=443 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 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…
T7.13. According to government data, 22% of American children under the age of six live in households with incomes less than the official poverty level. A study of learning in early childhood chooses an SRS of 300 children. Find the probability that more than 20% of the sample are from poverty households. Be sure to check that you can use the Normal approximation.
TF.17 The average number of UHD TVs sold daily at a Best Buy store is known to be 28 and approximately normally distributed. A random sample of 21 days shows sample mean x̄ = 31 with standard deviation s = 7.7. Test the hypothesis Ho : μ = 28 against Ha : μ ≠ 28 at α = 0.10 and at α = 0.05 levels of significance. Use t-distribution.
You wish to test the following claim (Ha) at a significance level of α=0.02. Ho:p1=p2 Ha:p1<p2You obtain 16.4% successes in a sample of size n1=427 from the first population. You obtain 25.5% successes in a sample of size n2=330 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 two 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 less 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:p1=p2 Ha:p1>p2You obtain 734 successes in a sample of size n1=774 from the first population. You obtain 632 successes in a sample of size n2=696 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 =
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You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: P1 = P2 Ha:P₁ > P2 = You obtain 48% successes in a sample of size n₁ = 790 from the first population. You obtain 43.9% successes in a sample of size n2 645 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... 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…
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