Questions: Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.2. A sample of 40 U.S. adults is chosen. Use the π-84 Plus Calculator as needed. Round the answer to at least four decimal places. Part 1 of 5 Is it appropriate to use the normal approximation to find the probability that more than 45% of the people in the sample have high blood pressure? It (Choose one) appropriate to use the normal curve, since n p= (Choose one) 10 and n(1-p)= (Choose one) 10.

Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.2. A sample of 40 U.S. adults is chosen. Use the π-84 Plus Calculator as needed. Round the answer to at least four decimal places. Part 1 of 5 Is it appropriate to use the normal approximation to find the probability that more than 45% of the people in the sample have high blood pressure? It (Choose one) appropriate to use the normal curve, since n p= (Choose one) 10 and n(1-p)= (Choose one) 10.
Transcript text: Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.2. A sample of 40 U.S. adults is chosen. Use the $\pi$-84 Plus Calculator as needed. Round the answer to at least four decimal places. Part 1 of 5 Is it appropriate to use the normal approximation to find the probability that more than $45\%$ of the people in the sample have high blood pressure? It $\square$ (Choose one) appropriate to use the normal curve, since $n p=$ $\square$ (Choose one) 10 $\square$ and $n(1-p)=$ (Choose one) $\square$ 10.
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Solution

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Solution Steps

Step 1: Calculate \( np \) and \( n(1-p) \)

To determine if it is appropriate to use the normal approximation, we first calculate the values of \( np \) and \( n(1-p) \):

\[ np = n \cdot p = 40 \cdot 0.2 = 8.0 \]

\[ n(1-p) = n \cdot (1 - p) = 40 \cdot (1 - 0.2) = 40 \cdot 0.8 = 32.0 \]

Step 2: Assess Appropriateness of Normal Approximation

The normal approximation is considered appropriate if both \( np \) and \( n(1-p) \) are greater than or equal to 10. In this case:

\[ np = 8.0 < 10 \quad \text{and} \quad n(1-p) = 32.0 \geq 10 \]

Since \( np < 10 \), it is not appropriate to use the normal curve for this problem.

Final Answer

It is not appropriate to use the normal curve.

\(\boxed{\text{Not Appropriate}}\)

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