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Direct Satellite TelevisionIt is believed that 25% of
Chapter 7, Problem 17E(choose chapter or problem)
Problem 17E
Direct Satellite TelevisionIt is believed that 25% of U.S.homes have a direct satellite television receiver. How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points? How large a sample is necessary if nothing is known about the proportion?
Source: New York Times Almanac.
Questions & Answers
QUESTION:
Problem 17E
Direct Satellite TelevisionIt is believed that 25% of U.S.homes have a direct satellite television receiver. How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points? How large a sample is necessary if nothing is known about the proportion?
Source: New York Times Almanac.
ANSWER:
Solution :
Step 1 of 1:
Our goal is :
We need to how large a sample is necessary.
Let denotes the United State homes have a direct satellite T.V receiver is 25% or 0.25.
From the given information we know that E is 3% or 0.03 and confidence interval C is 95%.
When known then the sample size formula is
When un-known then the sample size formula is
Now we have to determine