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an urban economist wishes to estimate the proportion of americans who own their homes. what size sample should be obtained if he wishes the estimate to be within 0.02 with 90% confidence if (a) he uses a 2010 estimate of 0.669 obtained from the u.s. census bureau

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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