d) What impact does this change in the spam cutoff value have on the chance of each type of error in hypothesis testing? Explain.
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Please help with question D.
Thanks
Here our hypothesis is that,
H0: Not a spam v.s. HA: Email is spam.
Now, we classify an email as a spam if it gets 50 points or higher. 100 points being the maximum, this means, our level of significance or alpha here is (1- 0.5) =0.5, and we reject the null hypothesis if the filter point is < 0.5. Otherwise, we accept it and the e-mail classifies as not a spam.
If we change the filter point to 60, then automatically the level of significance changes to (1-0.6) = 0.4 and we reject the null hypothesis if our probability is < 0.4, and claim that it is a spam. Otherwise we accept it and say that our e-mail is not a spam.
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