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 99% confident that the sample percentage is within 4.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. n = 820 (Round up to the nearest integer.) b. Assume that a prior survey suggests that about 34% of air passengers prefer an aisle seat. n= (Round up to the nearest integer.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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**Text for an Educational Website: Survey Sample Size Determination**

You are the operations manager for an airline, considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey to achieve a 99% confidence level that the sample percentage is within 4.5 percentage points of the true population percentage? Complete parts (a) and (b) below.

a. **Assume that nothing is known about the percentage of passengers who prefer aisle seats.**

- Required sample size: **n = 820**
  - *(Round up to the nearest integer.)*

b. **Assume that a prior survey suggests that about 34% of air passengers prefer an aisle seat.**

- Required sample size: **n =** *(Round up to the nearest integer.)*

*Note: In the scenarios above, the calculation approach differs based on prior knowledge of passenger preferences, which impacts the determination of sample size.*
Transcribed Image Text:**Text for an Educational Website: Survey Sample Size Determination** You are the operations manager for an airline, considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey to achieve a 99% confidence level that the sample percentage is within 4.5 percentage points of the true population percentage? Complete parts (a) and (b) below. a. **Assume that nothing is known about the percentage of passengers who prefer aisle seats.** - Required sample size: **n = 820** - *(Round up to the nearest integer.)* b. **Assume that a prior survey suggests that about 34% of air passengers prefer an aisle seat.** - Required sample size: **n =** *(Round up to the nearest integer.)* *Note: In the scenarios above, the calculation approach differs based on prior knowledge of passenger preferences, which impacts the determination of sample size.*
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