1) Find x to the nearest degree if x = sin-1 (2/3)a. 1°b. 42°c. 48°d. 73°2) Find x to the nearest degree if x = arctan 0.a. 270°b. 90°c. 45°d. 0° 3) Find x in radians if x = arccos (¼). Round to the nearest hundredth.a. 1.32b. 75.52c. 0.97d. 1.004) Find x in radians if x = sin-1(5/8). Round to the nearest hundredth.a. 0.01b. 38.7c. 0.68d. 0.595) Find the value of the expression below. Round to the nearest hundredth.a. 88.3b. 0.66c. 1.51d. 57.36) Find the value of the expression below. Round to the nearest tenth.a. 0.76b. 1.00 c. 0.63d. 1.597) Find the value of the expression below. Round to the nearest hundredth.tan(Arctan 4)a. 75.96b. 4c. 0.00d. 89.258) Simplify [cos(arc cos x)] • [(Arc sin(sin y)]A. x/y B x2y2C. xyD. x9) The cruise ship Reno sailed due West 24 miles before turning south. When the Reno became disabled and radioed for help, the rescue boat found that the fastest route to her covered a distance of 48 miles. The cosine of the angle at which the rescue boat should sail is 0.5. Find the angle Θ, nearest tenth of a degree, at which the rescue boat should travel to aid the Reno.a. 26.6°b. 30°c. 60°d. 87.3°10) To the nearest degree, what is the angle of depression Θ between the shallow end and the deep end of the swimming pool shown below?a. 25°b. 37°c. 53°d. 73°

You had the chance earlier in the week to practice with the one-way ANOVA and obtain peer feedback. Now it is time to put all of that good practice to use and answer a social research question with the one-way ANOVA. As you head into the assignment, be sure and pay close attention to the assumptions of the test. Specifically, make sure the dependent and independent variables (factor) are amenable to use in the ANOVA (i.e., be sure to note levels of measurement).For this Assignment, you will examine the one-way ANOVA based on a research question.To prepare for this Assignment:Review this week’s Learning Resources and media program related to one-way ANOVA testing.Using the SPSS software, open the Afrobarometer dataset or the High School Longitudinal Study dataset (whichever you choose) found in the Learning Resources for this week.Based on the dataset you chose, construct a research question that can be answered with a one-way ANOVA.Once you perform your one-way ANOVA analysis, review Chapter 11 of the Wagner text to understand how to copy and paste your output into your Word document.For this Assignment:Write a 2- to 3-paragraph analysis of your one-way ANOVA results for your research question. Include any post-hoc tests with an analysis of the strength of any relationship found (effect size). Also, in your analysis, display the data for the output. Based on your results, provide an explanation of what the implications of social change might be.Use proper APA format, citations, and referencing for your analysis, research question, and display of output.

sensitivity & specificity Similar to converting Fahrenheit to Celsius (E.g., 98.6o F – 32 x 5 / 9 = 37o C) and back (E.g., 37o C x 9 / 5 + 32 = 98.6o F), these problems require you to work backwards and forward from the data given.Also, all the clues and formulas you need are on PPT, E.g., a + c / total pop = prevalence.Remember, be sensitive to the ill. Read the Evaluating Screening Tests. Then proceed to answer the scenario questions. See attached file Scenario 1: The prevalence (a + c in the table below) of previously undetected diabetes in a population to be screened is approximately 1.5% and it is assumed that 10,000 persons will be screened.The screening test will measure blood serum sugar content.A value of 180 mg/dl or higher is considered positive.The sensitivity (a) and the specificity (d) associated with this screening are 22.9% and 99.8% respectively. Questions 1-9: Using the information on the PPT set up a two by two table with the appropriate numbers in each cell of the table.Round to the nearest whole number, but only after you have completed all the calculations down through.(Condition Absent or Present is determined by symptoms.) (1 point per box) Ills Wells Total people Positive tests (A or True +) (B or False +) (A+B or all positive tests) Negative tests (C or False - ) (D or True -) (C+D or all negative tests) Total tests (A+C or all ills) (B+D or all wells) 10,000 Total Population Calculate as indicated Answer 10. The percentage of false positives among all those without the condition (the Type I Error Rate, or 1 – specificity), or b / (b + d) 11.The percentage of false negatives among all those with the condition (the Type II Error Rate, or 1 – sensitivity), or c / (a + c) 12.The predictive value of a positive (PPV) test, or = a / (a + b) 13.The predictive value of a negative (NPV) test, or = d / (c + d) 14. Based on the calculations above, how many false positives and negatives will occur if 100,000 people are screened? Scenario 2: To observe the effect of increasing sensitivity, assume a blood sugar screening level of 130 mg/dl, with (A) sensitivity of 44.3% and (D) specificity of 99.0%. Use the values for a + c from the table below to calculate prevalence.Questions 15-23: Using the information in thePPT, set up a two by two table with the appropriate numbers in each cell of the table.Round to the nearest whole number, but only after you have completed all the calculations down through.(Condition Absent or Present is determined by symptoms.) (1 point per box) Ills Wells Total people Positive tests (A or True +) (B or False +) (A+B or all positive tests) Negative tests (C or False -) (D or True -) (C+D or all negative tests) Total tests (A+C or all ills) (B+D or all wells) 10,000 Total Population Calculate as indicated Answer 24.The percentage of false positives among all those without the condition (the Type I Error Rate, or 1 – specificity), or b / (b + d) 25. The percentage of false negatives among all those with the condition (the Type II Error Rate, or 1 – sensitivity), or c / (a + c) 26.The predictive value of a positive (PPV) test, or = a / (a + b) 27. The predictive value of a negative (NPV) test, or d / (c + d) 28.Based on the calculations above, how many false positives (b x 10) and negatives (c x 10) will occur if 100,000 people are screened? Select a laboratory test and describe its: 29. Explain the clinical significance of a diagnostic test’s sensitivity and specificity. Be specific in your explanation by using a diagnostic test as an example. 30.Compare the findings of Scenario 1 and 2.If you were the director for the diabetes screening program would you prefer to screen at 130 mg or 180 mg percent? Explain why. Resources:Textbook: Katz, D., Elmore, J., Wild, D., Lucan, S. (2013). Jekel's epidemiology, biostatistics, preventive medicine, and public health (4th ed). New York, NY: Elsevier.Chapter 1 Basic Epidemiologic Concepts and PrinciplesChapter 2 Epidemiologic Data MeasurementsChapter 6 Assessment of Risk and Benefits in Epidemiological Studies – not sure if this fits hereChapter 23 Birth Outcomes: A Global PerspectiveTextbook: Macha, K., & McDonough, J. P. (2012). Epidemiology for advanced nursing practice. Sudbury, MA: Jones and Bartlett LearningChapters 2 and 6.