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) 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

PiaDeveau PiaDeveau · Answer 2 · 2022-03-29T06:22:42+02:00

A) It takes around 8 minutes for first responders to arrive, Ha: It takes about 8 minutes for first responders to arrive.

Hypotheses and error based problem:

B) Error Type I: the arrival time is less than or equal to 8 minutes. The arrival time is more than or equal to 8 minutes, which is a Type II mistake.

C) Error of Type I

a) The time it takes for first responders to arrive is the parameter of interest.

The notion will be put to the test when it comes to the arrival time of first responders.

The null hypothesis is that it is greater or equal to 8 minutes, whereas the alternative hypothesis is that it is less than 8 minutes.

b) Type I error: true null hypothesis rejection Non-rejection of the correct null hypothesis is a type II mistake.

c) A serious setting would result in a type I mistake, causing greater damage.

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