A Pew Internet poll asked cell phone owners about how they used their cell phone

Question

A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the past 30 days they had used their phone while in a store to call a friend or family member for advice about a purchase they were considering. The poll surveyed 1024 adults living in the United States by telephone. Of these, 471 responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering. (a) Find (plusminus 0.0001) SE_p the sample proportion, the standard error of the sample proportion, and the margin of error for 95% confidence. p = SE_p = m = (b) Find the 95% large-sample confidence interval (plusminus 0.001) for the population proportion,  the 95% large-sample confidence interval is from to

Explanation / Answer

here phat =471/1024=0.46

SE of phat =(phat(1-phat)/n)1/2  =0.0156

for 95% CI , z=1.96

hence margin of error m=z*SE =0.0305

hence confidence interval =phat -/+ margin of error =0.4294 ; 0.4905

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