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Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The National Health and Nutrition Examination Survey reported that the proportion of U.S. adults with high blood pressure is 0.3. A sample of 38 U.S. adults is chosen.
- Is it appropriate to use the normal approximation to find the
probability that more than 40% of the people in the sample have high blood pressure? If so, find the probability. If not; explain why not. - A new sample of 80 adults is drawn. Find the probability that more than 40% of the people in this sample have high blood pressure.
- Find the probability that the proportion of individuals in the sample of 80 who have high blood pressure is between 0.20 and 0.35.
- Find the probability that less than 25% of the people in the sample of 80 have high blood.
- Would it be unusual if more than 45% of the individuals in the sample of 80 had high blood pressure?
a.
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Whether it is appropriate to use the normal approximation to find the probability that more than
Answer to Problem 22E
The probability that more than
is
Explanation of Solution
Given Information:
The National Health and Nutrition Examination Survey reported that the proportion of U.S. adults with high blood pressure is
Formula used:
The standard deviation is
where
Calculation:
Given that the sample size is
Since,
And
This means normal approximation can be used to find the probability that more than
The mean is
The standard deviation is,
Calculating the
The required probability is
Hence, the probability that more than
is
b.
![Check Mark](/static/check-mark.png)
The probability of more than
Answer to Problem 22E
The probability that more than
Explanation of Solution
Given Information:
Formula used:
Calculation:
Given that the sample size is
Since,
And
This means normal approximation can be used to find the probability that more than
Now mean is
The standard deviation is,
Calculating the
The required probability will be given as,
Hence, the probability that more than
c
![Check Mark](/static/check-mark.png)
The probability that the proportion of individuals in the sample of
Answer to Problem 22E
The probability that the proportion of individuals in the sample of
Explanation of Solution
Given Information:
Calculation:
Calculating the
Calculating the
The required probability is
Hence, the probability that the proportion of individuals in the sample of
d
![Check Mark](/static/check-mark.png)
The probability that less than
Answer to Problem 22E
The required answer is
Explanation of Solution
Given Information:
Calculation:
Calculating the
The required probability is
Hence, the probability that less than
e.
![Check Mark](/static/check-mark.png)
If it is unusual for more than
Answer to Problem 22E
Yes, it would be unusual if more than
Explanation of Solution
Given Information:
Calculation:
Calculating the
The required probability is.
The above probability is very low. Hence, it would be unusual if more than
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Chapter 7 Solutions
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
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