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Sagot :
The sample size for the given problem is 1499.
What is sample size?
The process of deciding how many observations or replicates to include in a statistical sample is known as sample size determination. Any empirical study with the aim of drawing conclusions about a population from a sample must take into account the sample size as a crucial component.
Given:
An urban economist wishes to estimate the proportion of Americans who own their homes.
p cap = 0.669
1 - p cap = 0.331
margin of error = E = 0.02
[tex]Z_a_l_p_h_a_/_2[/tex]= 1.645
Sample size = n
[tex]n = (Z_a_l_p_h_a_/_2/E)^2*Pcap*(1 - Pcap)\\= (\frac{1.645}{0.02})^2*0.669*0.331\\ = 1499[/tex]
Hence, the sample size for the given problem is 1499.
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