Question

# Managers at a local phone service wireless retail center have a goal that 70% of the​...

Managers at a local phone service wireless retail center have a goal that 70% of the​ center's customers will have to wait less than five minutes for service. The data below shows the wait times of a random sample of 25 customers in minutes. What is the probability of observing a sample proportion as low or lower than the data presented? Answer to three decimals: 0.123 for example.

 4.1 5.4 2.6 9.8 3.5 3.8 0.4 7.8 4.2 5.8 4.2 2.6 3.5 9.9 6.2 1.5 0.8 9.2 3.2 5.9 2.5 5.3 3.2 2.3 4.5

Number of people who have to wait less than 5 minutes = 16

Proportion of people who have to wait less than 5 minutes, = 16/25 = 0.64

Population proportion, p = 0.70

n= 25

Probability of observing a sample proportion as low or lower than the data presented, P( < 0.64) =

So, the probability of observing a sample proportion as low or lower than the data presented = 0.256

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