3. (1pts). A jury list contains the names of all individuals who may be called f

Question

3. (1pts). A jury list contains the names of all individuals who may be called for jury duty. The proportion of the available jurors on the list who are women is 0.53 If 40 people are selected to serve as candidates to serve on the jury, Five of the 40 selected were women. Is there statistically significant evidence suggesting that it is differ in gender for jury selection, or could this outcome be explained by chance? Assume that significance level of 0.01 4. (6pts). Refer to the previous question. a. Explain what Type I and Type II errors mean in the context of that proble. The answer is to be written in a complete sentence. b. If you made an error with the decision in Problem No. 2, is it a Type I or Type II error? The answer is to be written in a complete sentence

Explanation / Answer

4)

a) Type I and type II errors. ... In statistical hypothesis testing, a type I error is the incorrect rejection of a true null hypothesis (also known as a "false positive" finding), while a type II error is incorrectly retaining a false null hypothesis (also known as a "false negative" finding).

So, Here

Null : There is no difference in gender for jury selection

Alt: There is difference in gender for jury selection

Here, type 1 error would be to assume that There is difference in gender for jury selection but infact truth is that There is no difference in gender for jury selection.

Type 2 error: We assume that There is no difference in gender for jury selection but infact there is some difference.

b) 1st question p value is not given.

If answer to first question was that null is rejected

Then, we made a type 1 error

But if answer was null not rejected then we made a type 2 error

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