The manager of an insurance company’s 24 hours emergency help line wishes to understand whether responsiveness to customer calls varies according to the time of day. The manager takes a random sample of 90 customer calls, and for each call determines the work shift during which the call was made, and whether the call was answered within 10 seconds. The data appears in the table below. Being careful to state your conclusions, and using a level of significance of α = 5%, test whether responsiveness is independent of work shift. [12 marks] Using this question to provide examples, explain the difference between a type 1 and type 2 error. [3marks]