Math 227 - Statistics » Spring 2023 » 13P Estimating a Population Proportion & a Population Mean

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Question #1
A magazine provided results from a poll of 59 adults who were asked to identify their favorite pie. Among the ​respondents, 28​% chose chocolate​ pie. If the confidence level is 95​%, calculate the confidence interval for the proportion of adults who identify chocolate pie as their favorite pie. Enter the upper bound of the confidence interval as a percentage without the % sign. (Round your percentage to the nearest tenth.)
A.   35.9
B.   39.5
C.   38.9
D.   39.1
Question #2
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you​ survey? Assume that you want to be 95% confident that the sample percentage is within 2.3 percentage points of the true population percentage.
A.   1,118
B.   1,861
C.   1,618
D.   1,816
Question #3
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you​ survey? Assume that a prior survey suggests that about 11​% of air passengers prefer an aisle seat. Assume that you want to be 90% confident that the sample percentage is within 4.9 percentage points of the true population percentage.
A.   115
B.   101
C.   110
D.   120

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