# statistics

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A hotel installs smoke detectors with adjustable sensitivity in all public guest rooms. (a) State the
null and alternative hypotheses. (b) Define Type I and II error. What are the consequences of each?
(c) Which is more to be feared, and by whom? (d) If the hotel decides to reduce â risk, what would
be the consequences? Who would be affected?

• statistics -

I'll give you some background on Type I and Type II errors and let you take it from there.

Type I errors result when you reject the null and it's true. Type II errors result when you accept the null and it's false. You can reduce Type I errors by setting the alpha at a lower level, for example, from .05 to .01. However, when you do that, you increase the probability of making a Type II error. You would have to determine if the hotel would be more concerned about Type I or Type II errors.

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