Question

Suppose 51% of the students in a university are baseball players. If a sample of 773 students is selected, what is the probability that the sample proportion of baseball players will differ from the population proportion by more than 5%? Round your answer to four decimal places.

Answer 1

p = 0.51

n = 773

We have to find the probability that the sample proportion of baseball players will differ from the population proportion by more than 5%.

That is we have to find P( | p - | > 0.05)

The standard deviation of the sample proportion is

( From z table)

The probability that the sample proportion of baseball players will differ from the population proportion by more than 5% is 0.9946