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.

Write a minimum 4 page report explaining the results from your analysis of the ROI of Business Majors and Engineering Majors. Use your results from each week’s assignment to make this report.This report should include:A detailed description of the data used in this analysis – specifically explain what the data in each column represents.A detailed explanation of any information learned about:School Type for each major; The Cost for each major;The 30 Year ROI for each major;The Annual % ROI for each major.Explanations should be supported with the results obtained from your work in previous weeks.Finally, answer the following questions and support your answer with your results.Does there appear to be a particular major that gives a better ROI? Why or Why not? Given that we are using statistical inference to make our conclusions, is it guaranteed that the major you choose that gave a better ROI for this sample will always have a better ROI than the other major? Explain your reasoning

Question 1 Find the distance between points (1, 2) and (5, 9). Question 2 Find the distance between points (-3, 8) and (-5, 1). Question 3 Find the midpoint between points (-4, 2) and (2, -2). (1, -1) (0, -1) (-1, 0) (1, 0) 2 points Question 4 Find the midpoint between points (-2, 3) and (-4, -3). (3, 1) (-3, -1) (0, -3) (-3, 0) 2 points Question 5 The equation represents a __________. parabola circle hyperbola ellipse 2 points Question 6 What is the directrix of the following graph? y = -1 y = 1 x = 1 x = -1 2 points Question 7 What is the equation of the following graph? Question 8 What is the directrix of the following graph? Question 9 What is the equation of the following graph? Question 10 What is the equation of a parabola with a directrix x = 8 and focus (-8, 0). Question 11 What is the equation of a parabola with vertex (0, 0) and directrix y = 12. Question 12 What is the equation of a parabola with a vertex at (0, 0) and a focus at (0, 6). Question 13 What is the axis of symmetry for the following parabola? y = 0 x = 0 y = -1 x = -1 2 points Question 14 What is the equation of the following graph? x2 - y2 = 10 x2 - y2 = 100 x2 + y2 = 10 x2 + y2 = 100 2 points Question 15 What is the center of the following graph? Question 16 What is the radius of the following graph? Question 17 What is the equation of the following graph? Question 18 What is the equation of a circle with a center at (1, 3) and a radius of 6? Question 19 What is the equation of a circle with a center at (0, 0) and a radius of 4.5? Question 20 What is the equation of a circle with a center at (-4, -8) and a radius of 1.9? Question 21 The point of symmetry for this circle is (0, 0). True False 2 points Question 22 What is the length of the major axis of the following graph? 6 12 8 10 2 points Question 23 What is the center of the following graph? Question 24 What is the equation of the following graph? Question 25 What are the vertices of the following graph? Question 26 Write the equation of an ellipse with a major axis of length 8 and co-vertices (0, 3) and (0, -3). Question 27 Write the equation of an ellipse with vertices (0, 12) and (0, -12) and co-vertices (2, 0) and (-2, 0). Question 28 Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10. Question 29 Ellipses have symmetry through both their minor and major axes. True False 2 points Question 30 What are the asymptotes of the following graph? 2 points Question 31 What is the equation of the following graph? Question 32 What is the center of the following graph? Question 33 What is the equation of the following graph? Question 34 Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5). Question 35 Write the equation of a hyperbola with vertices at (-4, 0) and (4, 0) and co-vertices (0, 5) and (0, -5). Question 36 Write the equation of a hyperbola with vertices (3, -1) and (3, -9) and co-vertices (-6. -5) and (12, -5). Question 37 The symmetry of a hyperbola with a center at (h, k) only occurs at y = k and x = h. True False