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 397 are sampled, what is the probability that the sample proportion will be less than 0.08? Round your answer to four decimal places.

Answer 1

True proportion, p = 0.07

Sample size, n = 397

P( < A) = P(Z < (A - )/)

= p = 0.07

=

=

= 0.0128

P(sample proportion will be less than 0.08), P( < 0.08) = P(Z < (0.08 - 0.07)/0.0128)

= P(Z < 0.78)

= 0.7823