Instructions Please complete all problems. Unless otherwise noted, each problem is worth 5 points. To obtain full credit, you must use the methods specified in the course text. Please, format your work as explained in chapter 2 of the Frequently Asked Questions (FAQ) document. When doing calculations, such as the variance, standard deviation, or the correlation coefficient, use technology wherever possible. Do not do calculations by hand unless | direct you to do so. Rounding. Round your z-scores to two decimal places when using a hormal distribution table to look up area values. Round areas under the normal curve found by calculator or Excel to four decimal places. When using the t-distribution or doing other calculations, round to 3 decimal places unless otherwise directed. Never round until the last step of your calculations (Note: see FAQ 4.2). Testing claims. To avoid loss of points, you must include all 5 parts listed below whenever you are asked to test a claim or conduct a hypothesis test. 1. State the null hypothesis, Hy, and the alternate hypothesis, H,, indicating which is the claim. 2. Show the calculation of the test statistic. 3. Depending on the method you use, list either (a) the p-value or (b) find the critical value(s). Note: One tail tests have only one critical value, but two tail tests have two. 4. State decision whether to "reject" or "fail to reject" the null hypothesis, Hy. 5. State your conclusion about the claim. You should use the wording suggested by the author in section 7.1. You must be very careful about the wording, because is essentially an acceptable level of error that is assumed at the beginning of the test. Section 7.2 Instructions for problems 12-13. Use the following information pertaining to a hypothesis test to answer the questions. Test type: right-tailed, z = 2.27, a = 0.01 12. Find the P-value for the hypothesis test. Round result to 4 decimal places. 13. Decide whether to reject or fail to reject Hy at the given level of significance c. 14. Suppose that a two-tailed hypothesis test is being conducted and the P-value is 0.0768. What are the z-values that correspond to this P-value? Avoid rounding until the last step. 15. Find the critical value(s) for the hypothesis test. Test: Left-tailed, a = 0.10. Instructions for problems 16-19. Suppose for a two-tailed hypothesis test the critical values are zo = 1.88 and z, = 1.88. State whether you would reject or fail to reject the null hypothesis if the standardized test statistic 2 has the values listed below. 16. 2 =1.72 17. 2= 2.03 18. 2= 1.65 19. 2= 1.80 20. Test the claim. (Note: Avoid rounding until the last step of calculations.) Remember to include all parts of the hypothesis test as explained in the assignment instructions. Claim: