Example 4.3. Hypertension is defined as a blood pressure reading ove 140 mm Hg s

Question

Example 4.3. Hypertension is defined as a blood pressure reading ove 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 196 donors, it is found that 29 have hypertension. Do these data indicate that the population proportion of students with hypertension during final exams week is higher than 9.2%2 Use a 5% level of significance.

Explanation / Answer

Given that,
possibile chances (x)=29
sample size(n)=196
success rate ( p )= x/n = 0.148
success probability,( po )=0.092
failure probability,( qo) = 0.908
null, Ho:p<0.092
alternate, H1: p>0.092
level of significance, = 0.05
from standard normal table,right tailed z /2 =1.64
since our test is right-tailed
reject Ho, if zo > 1.64
we use test statistic z proportion = p-po/sqrt(poqo/n)
zo=0.14796-0.092/(sqrt(0.083536)/196)
zo =2.7106
| zo | =2.7106
critical value
the value of |z | at los 0.05% is 1.64
we got |zo| =2.711 & | z | =1.64
make decision
hence value of | zo | > | z | and here we reject Ho
p-value: right tail - Ha : ( p > 2.71058 ) = 0.00336
hence value of p0.05 > 0.00336,here we reject Ho
ANSWERS
---------------
null, Ho:p=0.092
alternate,hypertension during final exams week is higher than 9.2 H1: p>0.092
test statistic: 2.7106
critical value: 1.64
decision: reject Ho
p-value: 0.00336
we have evidence to support hypertension during final exams week is higher than
9.2

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.