A survey of Internet users reported that 18% downloaded music onto their compute

Question

A survey of Internet users reported that 18% downloaded music onto their computers. The filing of lawsuits by the recording industry may be a reason why this percent has decreased from the estimate of 26% from a survey taken two years before. Assume that the sample sizes are both 1451. Using a significance test, evaluate whether or not there has been a change in the percent of Internet users who download music. (Round your value for z to two decimal places. Round your P-value to four decimal places.)

z=

p value=

Also report a 95% confidence interval for the difference in proportions. (Round your answers to four decimal places.)

Explanation / Answer

here p1=0.26 ; p2=0.18 ; n1=n2=1451

hence std error =(p1(1-p1)/n1 +p2(1-p2)/n2)1/2 =0.0153

hence test stat z=(p1=p2)/std error =5.2262

for above p value =0.0000

for 95% CI, z=1.96

henc confidence interval =(p1-p2) +/- z*std error =0.0500 ; 0.1100

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