This week you will begin working on Phase 3 of your course project. Using the same data set and variables for your selected topic, add the following information to your analysis: Discuss the process for hypothesis testing. Discuss the 8 steps of hypothesis testing? When performing the 8 steps for hypothesis testing, which method do you prefer; P-Value method or Critical Value method? Why? Perform the hypothesis test. If you selected Option 1: Original Claim: The average salary for all jobs in Minnesota is less than $65,000. Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown. If you selected Option 2: Original Claim: The average age of all patients admitted to the hospital with infectious diseases is less than 65 years of age. Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown. Based on your selected topic, answer the following: Write the null and alternative hypothesis symbolically and identify which hypothesis is the claim. Is the test two-tailed, left-tailed, or right-tailed? Explain. Which test statistic will you use for your hypothesis test; z-test or t-test? Explain. What is the value of the test-statistic? What is the P-value? What is the critical value? What is your decision; reject the null or do not reject the null? Explain why you made your decision including the results for your p-value and the critical value. State the final conclusion in non-technical terms. Please show your work for the construction of the test-statistic and explain your process for finding the p-value and critical value. Be sure to use the Equation Editor to format your equations.

1) Find the length of on the number line below.A. 5B. -10C. 10D. 22) Find the length of if A = (-3, 5) and B = (2, 1). Round to the nearest tenth, if necessary.A. 6.4B. 4.1C. 8.1D. 53) Find the length of if P = (8, -­4) and Q = (­-3, ­-4). Round to the nearest tenth, if necessary.A. 13.6B. 11C. 5D. 9.44) On the number line below, find the coordinates of point U such that the length of is the length of from R to T.A. 8B. -2C. 2D. 05) On the number line below, find the coordinates of P such that the length of is the length of from L to N.A. -2B. 1C. 8D. 46) Points X(6, 4) and Y(-4, -16) are the endpoints of . What are the coordinates of point Z on such that XZ is the length of ?A. (-2, -12)B. (14, 20)C. (4, 0)D. (-12, -32)7) Find the coordinates of O on the number line below such that O partitions such that MO:ON is in a 3:4 ratio.A. 8B. 5.25C. 3D. 28) On the coordinate plane below, find the coordinates of S such that is the length of .A. (3,2)B. (-3, 4)C. (0,3)D. (9,0)9) Find the coordinates of P along the directed line segment of AB so that the ratio of AP:PB is 3:2. A. (1.4, 1.2) B. C. (0.6, -0.2) D. 10) On the coordinate plane below, find the coordinates of R such that is the length of from Q to T.A. (-1, -1)B. (3.2, 1.8)C. (-2.2, -1.8)D. (-5.8, -4.2)