Question

In: Statistics and Probability

A door delivery florist wishes to estimate the proportion of people in his city that will...

A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true proportion is 0.06. If 240 are sampled, what is the probability that the sample proportion will differ from the population proportion by greater than 0.04? Round your answer to four decimal places.

Solutions

Expert Solution

Solution

Given that,

p = 0.06

1 - p = 1 - 0.06 = 0.94

n = 240

= p = 0.06

=  p ( 1 - p ) / n

=   (0.06 * 0.94) / 240 = 0.01533

= 0.01533

1 - P(0.02 < < 0.10) = 1 - P( (0.02 - 0.06) / 0.01533 < ( - ) / < (0.10 - 0.06) / 0.01533)

= 1 - P(-2.61 < z < 2.61)

= 1 - [P(z < 2.61) - P(z < -2.61)]

= 1 - [0.9955 - 0.0045]

= 1 - 0.991

= 0.0090

Probability = 0.0090


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