1. Statistical Literacy Discuss each of the following topics in class or review on your own. Then provide an answer in full sentences, to the following questions:

a. What is a null hypothesis, 0?

b. What is an alternative hypothesis, 1?

c. What are a type I and type II errors?

d. What is the level of significance of a test?

e. What is the probability of a type II error?

2. Statistical Literacy: In a statistical test, we have a choice of a left-tailed, right-tailed, or two-tailed test. Is the null or alternate hypothesis the determinant of the type of test we use? Justify your answer.

3. Statistical Literacy: If we fail to reject the null hypothesis, does this mean that we have proved it beyond reasonable doubt?

4. If the of a statistical test is greater than the level of significance, , do we reject, or fail to reject 0?

5. Basic Computation: Assume you are to tests the claim that a population mean equals 40.

a. State the null hypothesis

b. State the alternate hypothesis assuming you have no prior knowledge in regard to the mean of this population.

c. State the alternate hypothesis if you believe, (either from past data, or past experiences) that the population mean may exceed 40.

d. State the alternate hypothesis if you believe, (either from past data, or past experiences) that the population mean may be under 40.

6. Let x be a random variable representing the uric acid of a female patient two months into her therapy to help regulate her uric acid. The samples were talking for a month, during the year of her treatment. The sample mean of uric acid is = 5.38 mg/dL . Assuming the mean uric acid level of the female population to be = 4.7 mg/dL, with = 2.4 mg/dL , do the following data indicate that the level of uric acid in this patient, following a year of therapy, is higher than 4.7 mg/dL 5.7 , 4.8, 6.0, 4.9, 4.0, 3.4, 6.5, 7.1, 5.3, 6.1? Use an alpha level, = 0.01.

a. What is the level of significance? State the null and alternate hypotheses. Will you be using a left, right, or two-tailed test?

b. Check Requirements: Which sampling distribution will you use? Explain your rationale for your choice. Compute the z-value for the sample test statistic. = 0.90. Verify after justifying.

c. Compute (or estimate) the p-value, I rather you compute it; sketch the sampling distribution and show the area corresponding to the p-value. 0.1841 Make sure to verify this and to draw the curve and shade the corresponding area.

d. Based on your answers of parts (a) to (c), what decision can you make about the null-hypothesis? Are the data statistically significant at the specified alpha level? Would increasing the alpha level make any difference? You fail to reject, demonstrate why, both probabilistically and in plain English.

e. Provide a succinct conclusion, with full sentences, in the context of this medical application You got this