# Complete Business Statistics Discussion Post

unit_5_discussion_example_post_2.pdf

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Unit 5 Discussion Example – First Response to a Classmates Post
First Response: First response: Review one of your classmates post. In the context of their hypothesis test,
discuss what the Type I Error and Type II Error would mean using a Decision Table as your guide.
What level of significance would you suggest based on what a Type I Error or Type II Error would mean?
Recall that:
Type I Error is defined as rejecting the null hypothesis when in fact it should be accepted. (i.e.False Positive
, False Alarm, defendant found guilty when in fact innocent)
Type II Error is defined as accepting the null hypothesis when in fact it should be rejected. (i.e. False
Negative, defendant found not guilty when in fact guilty)
******************************************************************************************
On May 24, 2016: Mosquito Shield Bands (made by Viatek Consumer Products Group) is a bracelet that
contains mint oil and promises to protect people from mosquito bites for up to 120 hours. Viatek claims that
Mosquito Shield Bands create a vapor barrier that can shield anyone within five feet for 96 to 120 hours.
https://www.ftc.gov/news-events/press-releases/2016/05/marketers-mosquito-shield-bands-pay-300000barred-making
Null hypothesis, H0: µ = 96 hours
Alternate hypothesis, Ha: µ < 96 hours Type I Error: Our evidence is showing that the mean time is not 96 hours but in reality it was. Type II Error: Our evidence is showing that the mean was 96 hours, but it really wasnt that long of protection! Decision Reject Null, P< alpha Cannot Reject Null, p >= alpha
Null is True
TYPE I Error : You wrongly
assume that the Shield Bands do
not protect you for 96 hours. So,
you also use other mosquito
protection methods. Not a big
deal!
Good decision
Null is False
Good decision
TYPE II Error : You wrongly
assume that the Shield Bands
protect you for 96 hours. You are
not as protected as you think and
you could be at risk of getting
bitten by a mosquito. Not a good
idea!
Based on the Type I error and it is not a big deal if we have this error, I would suggest a higher level of
significance since we want to be really sure that our customers are not getting a product that doesnt do what
it says it should do! I would choose a = 0.01 (99% confidence level).

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