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# State Department of Real Estate

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Suppose the state department of real estate conducts a study of the number of first-time applicants who are successful in passing the state certification examination for real estate salespeople on their first attempt...

What is the sample proportion of real estate employees who passed the exam on their first attempt?
a. 0.267
b. 0.440
c. 0.518
d. 0.850

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https://brainmass.com/statistics/hypothesis-testing/state-department-of-real-estate-32319

#### Solution Preview

What is the sample proportion of unemployed college graduates who passed the exam on their first attempt?
a. 0.279
b. 0.460
c. 0.575
d. 0.800

sample proportion 2 = Number passing / Unemployed Graduates = 46 / 80 = ...

#### Solution Summary

Suppose the state department of real estate conducts a study of the number of first-time applicants who are successful in passing the state certification examination for real estate salespeople on their first attempt. Two samples were taken from the list of applicants: those who were already employed by a real estate agency and those who were recent college graduates who had not taken a full-time job. Results are shown in the table below:
Real Estate Employees Unemployed Graduates
Sample Size
Number passing 85
44 80
46

What is the sample proportion of real estate employees who passed the exam on their first attempt?
a. 0.267
b. 0.440
c. 0.518
d. 0.850

What is the sample proportion of unemployed college graduates who passed the exam on their first attempt?
a. 0.279
b. 0.460
c. 0.575
d. 0.800

Assuming the population proportions are equal, what is the best estimate of the unknown population proportion?
a. 0.450.
b. 0.545
c. 0.547
d. 0.825

If the null hypothesis is H0: &#61552;R - &#61552;U = 0, what is the value of the test statistic?
a. -0.735
b. -1.735
c. 9.50
d. 14.09

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