You wish to test the following claim ( H a ) at a significance level of α = 0.02 . H o : μ = 51.6 H a : μ < 51.6 You believe the population is normally distributed and you know the population standard deviation is σ = 8.7 . You obtain a sample mean of M = 49.3 for a sample of size n = 51 . 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 three 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 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 population mean is less than 51.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 51.6. The sample data support the claim that the population mean is less than 51.6. There is not sufficient sample evidence to support the claim that the population mean is less than 51.6.
You wish to test the following claim ( H a ) at a significance level of...
You wish to test the following claim ( H a ) at a significance level of α = 0.002 . H o : p = 0.46 H a : p < 0.46 You obtain a sample of size n = 295 in which there are 113 successful observations. 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.)...
You wish to test the following claim ( H a ) at a significance level of α = 0.10 . H o : μ = 72.5 H a : μ > 72.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean M = 77.2 and a standard deviation of S D = 5.7 . What is the p-value for this sample? (Report answer...
You wish to test the following claim ( H a H a ) at a significance level of α = 0.02 α = 0.02 H o : μ = 74.5 H a : μ ≠ 74.5 You believe the population is normally distributed and you know the standard deviation is σ = 14.8. You obtain a sample mean of M = 67.5 for a sample of size n = 26 What is the critical value for this test? (Report answer...
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. You should use a non-pooled test. You obtain a sample of size n1=16n1=16 with a mean of M1=50.7M1=50.7 and a standard deviation of SD1=7.4SD1=7.4 from the first population. You obtain a sample of size n2=12n2=12 with a mean of M2=53.7M2=53.7 and a standard deviation of SD2=18.2SD2=18.2 from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal...
You wish to test the following claim ( H a ) at a significance level of α = 0.005 . H o : p 1 = p 2 H a : p 1 < p 2 You obtain 11.3% successes in a sample of size n 1 = 781 from the first population. You obtain 14.2% successes in a sample of size n 2 = 639 from the second population. For this test, use the normal distribution as an approximation...
You wish to test the following claim (H) at a significance level of a = 0.002. H:n = 68.7 H: 4 < 68.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 54 with mean M = 66.7 and a standard deviation of SD = 18.8. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is...
You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:p1=p2Ho:p1=p2 Ha:p1<p2Ha:p1<p2You obtain 380 successes in a sample of size n1=641n1=641 from the first population. You obtain 179 successes in a sample of size n2=259n2=259 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...
You wish to test the following claim ( H a ) at a significance level of α = 0.01 . H o : p = 0.2 H a : p > 0.2 You obtain a sample of size n = 123 in which there are 35 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.) The p-value for this...
You wish to test the following claim (Ha) at a significance level of α 0.01. Ha: μ > 85.6 and you know the standard deviation is σ 18.5. You obtain a sample mean of M- 87.2 for a sample of size n-63 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...
You wish to test the following claim (Ha) at a significance level of α=0.05. Ho:μ=52.8 Ha:μ≠52.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=55 with mean M=54 and a standard deviation of SD=6.7. 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...