SOLUTION: In a Midwestern state the proportion of the population 21 years of age or older who have a high school diploma is π = 0.9. 6 For samples of size n = 800

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Question 765397: In a Midwestern state the proportion of the population 21 years of age or older who have a high school diploma is π = 0.9.

6 For samples of size n = 800 obtained from this population, the standard error of the sample proportion p̄ is, se(p̄) = ______.

a 0.0245
b 0.0205
c 0.0122
d 0.0106

7 The probability that in a sample of n = 800 the sample proportion of individuals with a higher education degree is between 0.88 and 0.92 is, P(0.88 < p̄ < 0.92) = _____.

a 0.9817
b 0.9625
c 0.9412
d 0.9109

8 The proportion of p̄ values obtained from samples of size n = 800 that fall within ±0.025 (or 2.5 percentage points) from the population proportion is _____.

a 0.9818
b 0.9412
c 0.8904
d 0.8444

9 The margin of error for the interval which contains the middle 95% of all sample proportions obtained from samples of size n = 800 is: MOE = _______.

a 0.036
b 0.032
c 0.021
d 0.010

10 To obtain a sampling distribution where the middle 95% of all sample proportions fall within MOE = ±0.03 (3 percentage points) from π, the proper sample size is n = ______.

a 702
b 618
c 455
d 385

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