question archive A report states that 44% of home owners had a vegetable garden
A report states that 44% of home owners had a vegetable garden
Subject:MathPrice:2.87 Bought7
A report states that 44% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 6% with 95% confidence?
Purchase A New Answer
Custom new solution created by our subject matter experts
GET A QUOTE
Answer Preview
Answer:
Formula for sample size is --
?n>=(Zα/2?∗σ/E?)2?
Here, ?σ=underroot p(1−p)??
Given that, ?p=0.44,E=0.06,α=0.05?
Then, ?σ=underroot p(1−p)?? =0.496
Also, ?Zα/2?=Z0.025?? =1.96 ( I have used standard normal table)
Using these values,
?n>=(1.96∗0.496/0.06?)2? =262.53~263
So, Required number of sample =263
