Suppose when getting ready for school you make the null hypothesis that it is no

Question

Suppose when getting ready for school you make the null hypothesis that it is not going to rain. Identify which of the statements below give a type 1 and type 2 error in context and explain how you know. Then, explain which error you would like to protect more strongly against making and how you would set your significance level for evaluating evidence against your null accordingly (a) You take your umbrella to work but don't end up needing to use it because it never rains. (b) You leave your umbrella at home and get rained on walking between classes

Explanation / Answer

a) You accepted the null hypothesis when it is not true. So it is a Type II error.

b)

You rejected the null hypothesis when it is true. So it is a Type I error.

In this case I want to reduce Type I error than Type II error. Because it is better to carry umbrella though it never rains than not carrying umbrella while raining

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