Professor York randomly surveyed 240 students at Oxnard University and found that 150 of the students surveyed watch more than 10 hours of television weekly. How many additional students would Professor York have to sample to estimate the proportion of all Oxnard University students who watch more than 10 hours of television each week within ± 3 percent with 99 percent confidence?
A)761
B)1001
C)1489
D)1728

Question

Quizplus · Accepted Answer

To calculate the required sample size for a proportion with a given confidence level and margin of error, we use the formula: n = (Z^2 * p * (1-p)) / E^2. For 99% confidence, Z is approximately 2.576. Here, p = 150/240 = 0.625, and E = 0.03. Plugging these values into the formula gives approximately 1489.

Professor York Randomly Surveyed 240 Students at Oxnard University and Found