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 37 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places.

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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 37 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places.
 

 

## Problem Set on Probability and Normal Approximation

### Part 1 of 5
**Question:**
Is it appropriate to use the normal approximation to find the probability that more than 48% of the people in the sample have high blood pressure?

**Answer:**
It is **not** appropriate to use the normal curve, since \( np = 7.4 \) is **less than** 10, and \( n(1-p) = 29.6 \) is **greater than or equal to** 10. 

### Part 2 of 5
**Question:**
A new sample of 82 adults is drawn. Find the probability that more than 32% of the people in this sample have high blood pressure.

**Answer:**
The probability that more than 32% of the people in this sample have high blood pressure is **0.0033**.

### Part 3 of 5
**Question:**
Find the probability that the proportion of individuals in the sample of 82 who have high blood pressure is between 0.26 and 0.33.

**Answer:**
The probability that the proportion of individuals in the sample of 82 who have high blood pressure is between 0.26 and 0.33 is **0.0856**.
Transcribed Image Text:## Problem Set on Probability and Normal Approximation ### Part 1 of 5 **Question:** Is it appropriate to use the normal approximation to find the probability that more than 48% of the people in the sample have high blood pressure? **Answer:** It is **not** appropriate to use the normal curve, since \( np = 7.4 \) is **less than** 10, and \( n(1-p) = 29.6 \) is **greater than or equal to** 10. ### Part 2 of 5 **Question:** A new sample of 82 adults is drawn. Find the probability that more than 32% of the people in this sample have high blood pressure. **Answer:** The probability that more than 32% of the people in this sample have high blood pressure is **0.0033**. ### Part 3 of 5 **Question:** Find the probability that the proportion of individuals in the sample of 82 who have high blood pressure is between 0.26 and 0.33. **Answer:** The probability that the proportion of individuals in the sample of 82 who have high blood pressure is between 0.26 and 0.33 is **0.0856**.
**Part 4 of 5**

Find the probability that less than 27% of the people in the sample of 82 have high blood pressure.

The probability that less than 27% of the people in the sample of 82 have high blood pressure is 0.9441.
Transcribed Image Text:**Part 4 of 5** Find the probability that less than 27% of the people in the sample of 82 have high blood pressure. The probability that less than 27% of the people in the sample of 82 have high blood pressure is 0.9441.
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