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Question at position 79 In leaving for school on an overcast April morning, you make a judgment on the null hypothesis: H0: The weather will remain dry. H1: The weather will change to rain. What would the results be of Type I and Type II errors?In leaving for school on an overcast April morning, you make a judgment on the null hypothesis: H0: The weather will remain dry. H1: The weather will change to rain. What would the results be of Type I and Type II errors?Type I error: needlessly carry around an umbrellaType II error: get drenchedType I error: carry an umbrella and it rainsType II error: carry no umbrella, but the weather remains dryType I error: get drenched Type II error: needlessly carry around an umbrellaType I error: get drenchedType II error: carry no umbrella, but the weather remains dryType I error: get drenchedType II error: carry an umbrella, and it rainsClear my selection
Options
A.Type I error: needlessly carry around an umbrella
Type II error: get drenched
B.Type I error: carry an umbrella and it rains
Type II error: carry no umbrella, but the weather remains dry
C.Type I error: get drenched
Type II error: needlessly carry around an umbrella
D.Type I error: get drenched
Type II error: carry no umbrella, but the weather remains dry
E.Type I error: get drenched
Type II error: carry an umbrella, and it rains
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Step-by-Step Analysis
We start by restating the scenario and the null/alternative hypotheses to ground the reasoning. The null hypothesis H0 is that the weather will remain dry, and the alternative H1 is that it will rain. In hypothesis testing terms:
- A Type I error occurs when we incorrectly reject H0 (think it will rain) when it actually stays dry.
- A Type II error occurs when we fail to reject H0 (think it will stay dry) when it actually rains.
Now evaluate each answer choice:
Option 1: Type I error: needlessly carry......Login to view full explanationLog in for full answers
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