1. 27.5% of US adults are college graduates. Click here to access StatKey Round

Question

1. 27.5% of US adults are college graduates. Click here to access StatKey Round your answers to three decimal places. (a) Use StatKey or other technology to generate a sampling distribution for the sample proportion of college graduates using a sample size of n 50. Generate at least 1000 sample proportions. Give the center of the sampling distribution and give the standard error. Center- Standard error (b) Repeat part (a) using a sample size of - 500. Center- Standard error= 2. (e) If we took many samples of size 50 from the population of all inductees and recorded the proportion who were performers for each sample, what shape do we expect the distribution of sample proportions to have? where do we expect it to be centered? Round your answer for the center to three decimal places Shape T Symmetric and bell-shaped Center 150

Explanation / Answer

a) center =0.275

std error =sqrt(p*(!-p)/n) =sqrt(0.275*(1-0.275)/50)=0.063

b)

center =0.275

std error =sqrt(p*(!-p)/n) =sqrt(0.275*(1-0.275)/500)=0.020

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