Question

Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.52​, what is the probability that fewer than half in your sample will watch news​ videos?

Answer 1

Solution

Given that,

p = 0.52

1 - p = 1 - 0.52 = 0.48

n = 250

= p = 0.52

=  [p ( 1 - p ) / n] =   [(0.52 * 0.48) / 250 ] = 0.0316

P( < 0.50)

= P[( - ) / < (0.50 - 0.52) /0.0316 ]

= P(z < -0.63)

Using z table,

= 0.2643