If you selected Option 2 (Patients at NLEX hospital):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, perform and document the following steps: 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? Show your calculationWhat is the P-value? Explain how you determined itWhat is the critical value? Explain how you calculated itWhat 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. You may use the Equation Editor to format your calculation steps on the Word document or attach an Excel spreadsheet clearly showing each calculation for #B4 and #B5, but your answers still need to appear on the Word document. Also, be sure to number each response in your paper using the same numbers as abovePLEASE REFER TO GRADING RUBRICInsuffcientEmergingCompetencyProficiencyMasteryCorrectnessPoints:0 (0.00%)Less than half of parts of all problems are solved correctly.Points:18.125 (12.50%)At least half of the parts of all problems are solved correctly.Points:27.1875 (18.75%)The majority of parts of all problems are solved correctly.Points:30.8125 (21.25%)Almost all parts of all problems are solved correctly.Points:36.25 (25.00%)All parts of all problems are solved correctly.Work ShownPoints:0 (0.00%)Less than half all work is shown.Points:18.125 (12.50%)At least half of all work is clearly shown.Points:27.1875 (18.75%)The majority work is clearly shown.Points:30.8125 (21.25%)Almost all work is clearly shown.Points:36.25 (25.00%)All work is clearly shown.ExplanationsPoints:0 (0.00%)Less than half of the explanations are complete and correct.Points:18.125 (12.50%)At least half of the explanations are complete and correct.Points:27.1875 (18.75%)The majority of the explanations are complete and correct.Points:30.8125 (21.25%)Almost all explanations complete and correct.Points:36.25 (25.00%)All explanations are complete and correct.FormattingPoints:0 (0.00%)Less than half of the equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.Points:18.125 (12.50%)At least half of the equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.Points:27.1875 (18.75%)The majority of equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.Points:30.8125 (21.25%)Almost all equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.Points:36.25 (25.00%)All equations, expressions, and variables are properly formatted using the equation editor tool in Microsoft Word.