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 0.500 . Write only a number as your answer. Round to 4 decimal places (for example 0.3748). Do not write as a percentage.

Answer 1

Solution

Given that,

p = 0.48

1 - p = 1-0.48=0.52

n = 60

= p =0.48

=  [p ( 1 - p ) / n] =   [(0.48*0.52) / 60 ] = 0.0645

P( < 0.500 ) =

= P[( - ) / < ( 0.500 -0.48) /0.0645 ]

= P(z <0.31 )

Using z table,   

=0.6217

probability=0.6217