Question

It has been reported that 48% of teenagers play video games on their phones. A random sample of 60 teenages is drawn. Find the probability that the proportion of teenagers in the sample who play videos games on their phone is less than 0.486 Write only a number as your answer .

Round to 4 decimal places (for example 0.3748) ). Do not write as a percentage .

Answer 1

for normal distribution z score =(p̂-p)/σp
here population proportion=     μp=	0.4800
sample size       =n=	60

std error of proportion=σp=√(p*(1-p)/n)=

0.0645

probability that the proportion of teenagers in the sample who play videos games on their phone is less than 0.486 :

probability =P(X<0.486)=(Z<(0.486-0.48)/0.064)=P(Z<0.093)=0.5359

(please try 0.5371 if this comes wrong)