(ou wish to test the following claim (Ha) at a significance level of a = 0.001. H.:p = 0.85 Ha:p + 0.85 (ou obtain a sample of size n = 707 in which there are 578 successful observations. For this test, you shou NOT use the continuity correction, and you should use the normal distribution as an approximation for the pinomial distribution. What is the test statistic for this sample? (Report answer accurate to three decimal places.)

If The test statistic ofz=−1.45is obtained when testing the claim thatp

You wish to test the following claim (Ha) at a significance level of a = 0.05. Ho:p = 0.57 Ha:p # 0.57 You obtain a sample of size n = 452 in which there are 232 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... O less than (or equal to) a 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.... There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.57. There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.57. The…

An article in the San Jose Mercury News stated that students in the California state university system take an average of 4.5 years to finish their undergraduate degrees. Suppose you believe that the average time is longer. You conduct a survey of 42 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2. Do the data support your claim at the 1% level? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) + Part (a) O Part (b) O Part (c) + Part (d) O Part (e) O Part (f) O Part (g) O Part (h) O Part (i) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your lower and upper bounds to two decimal places.) 95% C.I. 2.0195 4.7261 5.4739 Additional Materials

You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.      Ho:p=0.5Ho:p=0.5      Ha:p≠0.5Ha:p≠0.5You obtain a sample of size n=190n=190 in which there are 85 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 =

Which of the following statements about non-parametric tests are correct? O Kruskal-Wallace test compares the differences in the ranks of data across >2 levels of one treatment to the differences in ranks within those levels. After calculating U-values, you should use the larger of the two numbers to determine the significance of your test for a given alpha. If your data violate the assumptions of GLM, they are not comparable to a generic normal distribution for the purposes of significance testing. The Kruskal-Wallace test can be used if data from a 2-way factorial experiment violate the assumptions of the GLM. Spearman correlations are more powerful than Pearson correlations.

You wish to test the following claim (Ha) at a significance level of a 0.01. H.:µ = 52.1 Ha:µ # 52.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 24 with mean M : 61.9 and a standard deviation of SD = 13.3. || 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 O greater than a This p-value leads to a decision to... O reject the null accept the null 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 population mean is not equal to 52.1. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 52.1. The sample data support the claim that the population mean is not equal to 52.1. There is not sufficient sample evidence to support the claim that the population mean is not equal to 52.1.