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Of 118 randomly selected adults, 34 were found to have high blood pressure. Construct a confidence interval for the true percentage of alt adults that he
A.
B.
C.
D.

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The confidence interval for the true percentage of adults with high blood pressure is .

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Beyond the Answer

To construct a confidence interval for the true percentage of adults with high blood pressure, we first need to calculate the sample proportion ( ).
Given:
  • Number of adults surveyed ( ) = 118
  • Number with high blood pressure = 34
Next, we calculate the standard error (SE) of the proportion using the formula:
Using a Z-score of 1.96 for a confidence level, we find the margin of error (ME):
Finally, we construct the confidence interval:
The confidence interval can be calculated as:
Converting these to percentages gives:
Thus, the correct interval in your options is A. , which covers most of our calculated range, representing high blood pressure prevalence in the adult population.

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