Type II error We commit a Type error by failing to reject the null hypothesis wh

Question

Type II error We commit a Type error by failing to reject the null hypothesis when the null hypothesis, in fact, is false. Its probability is given by P (we fail to reject Ho given that Ho false) In the context of the brewery example a Type We average, the cans contain the cans do contain average error means the following conclude that the brewery is dishonest and that, on of beer when, in fact, of beer, on Fall 2017, Stat 226 (Sections L) Introduction to Business Statistics Module 6, Chapter 16 42/ 47 An example" Spam filter In the context of the Spam filter example define the Type I and Type II error. Use p to denote the true probability of correctly identifying a SPAM mail. The current filter recognizes 70% of all SPAM mails, hence we assume p = 0. 7 under the null hypothesis. Ho: p=0.7 vs. Ha: p>0.7 o Type I error: We that the new SPAM filter IS than the current one even though Type Il error: We SPAM filter is that the new than the current one even though Fall 2017, Stat 226 (Sections L) Introduction to Business Statistics Module 6, Chapter 16 43/ 47

Explanation / Answer

In the first example please send the entire question in order to fill the blanks.

question 2 spam filter

type I error is rejecting null hypothesis when it is true.

probability ( reject Ho given that Ho is true)

here we reject proportion p is 0.7 and conclude that p>0.7

we conclude that new spam filter is recognizing more than the current spam filter even though it is recognizing less than the current one.(p=0.7)

type II error is that we fail to reject null hypothesis when the null hypothesis is false.

ie., Probability ( fail to reject Ho given that Ho is false).

we fail to reject that p=0.7.

we conclude that the new spam filter is recognizing less than the current one even though it recognizes greater than the current one ( ie., p>0.7)

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