Question

An airline recently polled all of its loyalty card customers and discovered that 22.5% are planning on taking a vacation this year. A flight scheduler for the airline takes a simple random sample of 144 customers. With a 30% chance, the scheduler's sample proportion will be no greater than what value of p̂ ?

z​ - score =

standard deviation =

sample proportion=

Answer 1

Solution :

z score = ( - ) / = (0.30 - 0.225) / 0.0348 = 2.16

= p * (1-p) / n = 0.225 * 0.775 / 144 = 0.0348

sample proportion = 0.30