2. A construction company is interested to buy an old apartment, renovate and then sell it at a higher price (known as flipping the apartment). To find the proportion of the houses in each area which were flipped fast within the past few years, estimated within 3%, they hire a real estate agent to do a survey. How many samples does the real estate agent need to get from each area to provide his answer with a 93% confidence interval ?
Solution :
Given that,
= 1 - = 0.5
margin of error = E = 0.03
At 93% confidence level
= 1 - 93%
=1 - 0.93 =0.07
/2
= 0.035
Z/2
= 1.812
sample size = n = (Z / 2 / E )2 * * (1 - )
= (1.812 / 0.03)2 * 0.5 * 0.5
= 912.04
sample size = n = 913
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