In a sample of n = 500 undergraduate students polled x = 175 stated that they ar

Question

In a sample of n = 500 undergraduate students polled x = 175 stated that they are planning to go to graduate graduate school. The point estimate of the population proportion of students planning to go to graduate school is, 0.35 0.36 0.37 0.38 The standard error of the sample proportion is, 0.0277 0.0243 0.0213 0.0192 The margin or error for a 95% confidence interval for the population proportion is, 0.028 0.034 0.038 0.042 In the previous question to build an interval estimate such that 19 of every 20 such intervals would capture the population proportion within plusminus 3 percentage points margin of error, the minimum sample size is ____. Use the sample proportion in the previous question as the planning value. 972 964 956 948

Explanation / Answer

15) point estimate =175/500 =0.35

16)std error =(p(1-p)/n)1/2 =0.0213

17)for 95% CI, z=1.96

hence margin of errror =z*std error =0.042

18)here p=0.35

std error =0.03

for 95% CI, z=1.96

hence samle size=p(1-p)(Z/E)2 =~972

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