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Answer :
Final answer:
To estimate the percentage of adults who have chicken pox and be 90% confident, you would need to survey a certain number of people. The required sample size can be calculated using a formula.
Explanation:
To estimate the percentage of adults who have chicken pox, you would need to conduct a survey. In order to be 90% confident in the accuracy of your estimate, you would need to survey a certain number of people. The formula to find the required sample size is:
n = (Z^2 * P * (1 - P)) / E^2
Where:
n = required sample size
Z = the Z score corresponding to the desired confidence level (for 90% confidence, Z = 1.645)
P = estimated proportion of adults who have chicken pox (unknown)
E = maximum allowable margin of error (%) (for 5%, E = 0.05)
Substituting the given options into the formula:
A) n = (1.645^2 * P * (1 - P)) / 0.05^2
B) n = (1.645^2 * P * (1 - P)) / 0.05^2
C) n = (1.645^2 * P * (1 - P)) / 0.05^2
D) n = (1.645^2 * P * (1 - P)) / 0.05^2
Since the proportion of adults with chicken pox is unknown, we cannot determine the specific sample size required based on the given options without additional information.
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