Question

1. a theme park owner estimates 82% of residents visited, with ±5% margin of error. a sample of 500 students was surveyed. approximately how many visited? at least ____ students and at most ____ students. (select correct pair below.) a. 385 and 435 b. 410 and 430 c. 410 and 450 d. 350 and 450

Explanation:

Step1: Calculate lower percentage

The lower percentage is \(82\% - 5\% = 77\%\). Convert this to a decimal: \(0.77\).

Step2: Find minimum number of students

Multiply the sample size (500) by the lower decimal: \(500\times0.77 = 385\).

Step3: Calculate upper percentage

The upper percentage is \(82\% + 5\% = 87\%\). Convert this to a decimal: \(0.87\).

Step4: Find maximum number of students

Multiply the sample size (500) by the upper decimal: \(500\times0.87 = 435\).

Answer:

A. 385 and 435