Question

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 Hg systolic and/or over 90 mm Hg diastolic. Hypertension, if not corrected, can cause long-term health problems. In the college-age population (18-24 years), about 9.2% have hypertension. Suppose that a blood donor program is taking place in a college dormitory this week (final exams week). Before each student gives blood, the nurse takes a blood pressure reading. Of 195 donors, it is found that 27 have hypertension. Do these data indicate that the population proportion of students with hypertension during final exams week is higher than 9.2%? Use a 5% level of significance.

What is the value of the sample test statistic? (Round your answer to two decimal places.)


(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)

Answer 1

Solution :

Given that,

This a right (One) tailed test.

The null and alternative hypothesis is,

Ho: p = 0.092

Ha: p 0.092

Test statistics

z = ( - ) / *(1-) / n

= ( 0.1385 - 0.092) / (0.092*0.) / 195

=2.245

P-value = P(Z > z )

= 1 - P(Z < 2.245 )

= 1 - 0.9876

= 0.0124