Please answer A through D below p(Less than 75% of the teens from this sample us

Question

Please answer A through D below p(Less than 75% of the teens from this sample used social networks) (Round to four decianal places as needed) e. what is the probabiity that between 70% and 0% of the teens from this sample used social networks? ro % and 80% of the teens tom this sample used social networks- (Round to four decimal places as needed ) d. What impact would changing the sample size to 20o teens have on the results of parts a b , and c? Choose the cornect answer bekow which woutd,in turn,reduce the probasbaties hat the samle propotions wit be coser to h population proporion will be closer to the population proportion O B. The standard error would be reduced, which would, in turn, increase the probabilities hat the O C. The standard error would be increased, which would, in turn, reduce the probabiaties that the sample proportions witl be closer to O D. The standard eror would be increased, which would, in turn, increase the probabilities inat the sample proportions wil be closer to the population OE. Changing the sample size would have no eflec sample proportions proportion t on the standard error or the probablities that the sample proportions will be closer to the population proportion

Explanation / Answer

a) standard error =(p*(1-p)/n)1/2 =(0.73*0.27/150)1/2 =0.0362

b)

for z score =(phat-p)/std error

P(P<0.75)=P(Z<0.55)=0.7088 ( please try 0.7094 if this comes wrong)

c)

P(0.7<P<0.8)=P(-0.83<Z<1.93)=0.9732-0.2033=0.7699 (please try 0.7693 if this comes wrong)

d)

option b is correct

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