Question

A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true proportion is 0.07. If 259 are sampled, what is the probability that the sample proportion will be less than 0.05? Round your answer to four decimal places.

Answer 1

p = Population proportion = 0.07

So,

q = 1 - p = 0.93

n = Sample Size = 259

To find P( < 0.05):

Z = (0.05 - 0.07)/0.0159

= - 1.26

Table of Area Under Standard Normal Curve gives area = 0.3962

So,

P( < 0.05) =0.5 - 0.3962

                     = 0.1038

So,

Answer is:

0.1038