Blood pressure: High blood pressure has been identified as a risk for heart atta

Question

Blood pressure: High blood pressure has been identified as a risk for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.3. A sample of 31 U.S. adults is chosen. Use the T1-84 Calculator as needed. Round the answer to four decimal places. Is it appropriate to use the normal approximation to find the probability that more than 47% of the people in the sample have high blood pressure? It appropriate to use the normal curve, since np = and n(1-p) = A new sample of 83 adults is drawn. Find the probability that more than 41% of the people in this sample have high blood pressure. The probability that more than 41% of the people in this sample have high blood pressure is Find the probability that the proportion of individuals in the sample of 83 who have high blood pressure is between 0.20 and 0.32 the probability that the proportion of individuals in the sample of 83 who have high blood pressure is between 0.20 and 0.32 is

Explanation / Answer

n=31, p= 0.47

np = 31*0.3 = 9.3 less than 10

n(1-p) = 31*0.7 = 21.7 greater than 10

no , it is not appropriate to use normal curve .

2)

n = 83 , P(p^ > 0.41 )

pq/ n = 0.3 *0.7/83 = 0.00253012048

sd (p^) = 0.05030

Z = (p^ - 0.3)/0.0503

P(Z > (0.41 -0.3)/0.0503))

P(Z> 2.18687)

= 0.0144

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