22. Awful accidents (a) State hypotheses for a significance test to determine whether first responders are arriving within 8 minutes of the call more often. Be sure to define the parameter of interest. (b) Describe a Type I error and a Type II error in this setting and explain the consequences of each. (c) Which is more serious in this setting: a Type I error or a Type II error

a) H0: Time for first responders arrival is  ≥ 8 min,  Ha: Time for first responders arrival is  < 8 min

b) Type I error: the arrival time is not greater than or equal to 8min

   Type II error: the arrival time is greater than or equal to 8min

c) Type I error

Explanation:

a) the parameter of interest is the time of arrival of first responders. The hypothesis will test the time of arrival of first responders. The null hypothesis will be that it is greater than or equal to 8 min and alternate hypothesis will be that it is less than 8 min

b) Type I error: rejection of true null hypothesis

   type II error: non-rejection of true null hypothesis

c)  Serious setting would be in type I error as it would cause more damage

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