Question

A researcher believes that 8% of pet dogs in Europe are Labradors. If the researcher is right what is the probability that the proportion of Labradors in a sample of 630 pet dogs would be greater than 7%? Round your answer to four decimal places.

Answer 1

Solution

=  [p( 1 - p ) / n] = [(0.08 * 0.92) / 630 ] = 0.0108

P( > 0.07) = 1 - P( < 0.07)

= 1 - P(( - ) / < (0.07 - 0.08) / 0.0108)

= 1 - P(z < -0.93)

= 0.8238

Probability = 0.8238