Question 31-33 are related 31 Among adult residents of a certain state 81% have

Question

Question 31-33 are related

31 Among adult residents of a certain state 81% have 12 or more years of schooling. In repeated samples of 600 residents what is the standard error of the sample proportion?

a 0.0139

b 0.0148

c 0.0160

d 0.0175

32 In repeated samples of 600 residents what fraction of sample proportions are within ±0.04 (4 percentage points) of the population proportion?

a 0.9876

b 0.9452

c 0.9356

d 0.9282

33 In the previous question, if you doubled the sample size, what is the middle interval around the population proportion that would capture 98% of sample proportions?

a 0.801 0.819

b 0.796 0.824

c 0.790 0.830

d 0.784 0.836

Explanation / Answer

Sample proportion, p = 0.81.

Standard error, se = p(1-p)/n = 0.81*0.19/600 = 0.016

Therefore , the correct answer is c.

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