You wish to test the following claim (H₁) at a significance level of a = 0.05. Ho: P₁ = P2 Ha:pı > P2 You obtain 18.6% successes in a sample of size n₁ = 280 from the first population. You obtain 14.2% successes in a sample of size n₂ = 465 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 = 1.593 x What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = 0.0556 x
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- You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:p1=p2Ho:p1=p2 Ha:p1≠p2Ha:p1≠p2 You obtain 26.5% successes in a sample of size n1=324n1=324 from the first population. You obtain 24.9% successes in a sample of size n2=591n2=591 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 =You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:p1=p2Ho:p1=p2 Ha:p1<p2Ha:p1<p2You obtain 52.2% successes in a sample of size n1=737n1=737 from the first population. You obtain 54.3% successes in a sample of size n2=464n2=464 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 less than the…You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:p1=p2Ho:p1=p2 Ha:p1>p2Ha:p1>p2You obtain 578 successes in a sample of size n1=660n1=660 from the first population. You obtain 579 successes in a sample of size n2=723n2=723 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 greater than the…
- For each of the following scenarios, identify: the population of interest, the outcome variable being measured on each observational unit, whether the outcome variable being measured is categorical or quantitative/Continuous, the parameter of interest, define both in words and using the appropriate statistical symbol (π, π1 -π2, µ, µ1 - µ2, or µd), and the null and alternative hypotheses, written in correct statistical notation (not in words) (a) To examine the safety of working in a nuclear power plant, we assess deaths due to cancer among all deaths at a particular power plant. Based on vital statistics, about 20% of all deaths can be attributed to some form of cancer. (b) A randomized trial study is performed to compare survival (time to death in months) two chemotherapy drugs (A vs B) among cancer patients. A sample of cancer patients are randomly assigned to treatment A or B.The test statistic of z=2.17 is obtained when testing the claim that p>0.1. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α=0.01, should we reject H0 or should we fail to reject H0?The test statistic of z = 2.05 is obtained when testing the claim that p > 0.4. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α = 0.10, should we reject H0 or should we fail to reject H0?
- You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:p1=p2Ho:p1=p2 Ha:p1>p2Ha:p1>p2You obtain 490 successes in a sample of size n1=579n1=579 from the first population. You obtain 450 successes in a sample of size n2=545n2=545 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 test statistics of z = -1.27 is obtained when testing the claim that μ ≠ 35.4. Use the significance level of α=0.05 to find the critical value(s).The test statistic of z = 1.47 is obtained when testing the claim that p > 0.5. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0?
- The test statistic of z=−2.07 is obtained when testing the claim that p<0.85. a. Using a significance level of α=0.05, find the critical value(s). b. Should we reject H0 or should we fail to reject H0?3. A researcher is testing a two-tailed null hypothesis at the p < .01 level with df = 45. What critical value would she or he use? Justify your answerA tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is less than 0.20. If the z− test statistic was calculated as z=−2.11, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.005. Move the blue dot to choose the appropriate test (left-, right, or two-tailed). Then, use the graph below to show the test statistic, p-value, and the rejection region to make a conclusion about the hypothesis test. powered by Move the blue dot to choose the appropriate test α=0.01 α=0.025 α=0.05 α=0.1 Significance level = 0.01 Select the correct answer below: There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20. There is not enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20. There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is greater than 0.20.…