This problem is based on information taken from The Merck Manual(a reference manual used in most medical and nursing schools).Hypertension is defined as a blood pressure reading over 140 mm Hgsystolic and/or over 90 mm Hg diastolic. Hypertension, if notcorrected, can cause long-term health problems. In the college-agepopulation (18-24 years), about 9.2% have hypertension. Supposethat a blood donor program is taking place in a college dormitorythis week (final exams week). Before each student gives blood, thenurse takes a blood pressure reading. Of 200 donors, it is foundthat 28 have hypertension. Do these data indicate that thepopulation proportion of students with hypertension during finalexams week is higher than 9.2%? Use a 5% level of significance. (a)What is the level of significance? State the null and alternatehypotheses. Will you use a left-tailed, right-tailed, or two-tailedtest? H0: p = 0.092; H1: p < 0.092; left-tailed H0: p >0.092; H1: p = 0.092; right-tailed H0: p = 0.092; H1: p ≠ 0.092;two-tailed H0: p = 0.092; H1: p > 0.092; right-tailed (b) Whatsampling distribution will you use? Do you think the sample size issufficiently large? The Student's t, since np > 5 and nq > 5.The standard normal, since np < 5 and nq < 5. The standardnormal, since np > 5 and nq > 5. The Student's t, since np< 5 and nq < 5. What is the value of the sample teststatistic? (Round your answer to two decimal places.) (c) Find theP-value of the test statistic. (Round your answer to four decimalplaces.) Sketch the sampling distribution and show the areacorresponding to the P-value. Maple Generated Plot Maple GeneratedPlot Maple Generated Plot Maple Generated Plot (d) Based on youranswers in parts (a) to (c), will you reject or fail to reject thenull hypothesis? Are the data statistically significant at level α?At the α = 0.05 level, we reject the null hypothesis and concludethe data are statistically significant. At the α = 0.05 level, wereject the null hypothesis and conclude the data are notstatistically significant. At the α = 0.05 level, we fail to rejectthe null hypothesis and conclude the data are statisticallysignificant. At the α = 0.05 level, we fail to reject the nullhypothesis and conclude the data are not statistically significant.(e) State your conclusion in the context of the application. Thereis sufficient evidence at the 0.05 level to conclude that the trueproportion of students with hypertension during final exams week ishigher than 0.092. There is insufficient evidence at the 0.05 levelto conclude that the true proportion of students with hypertensionduring final exams week is higher than 0.092.