3. (11pts). A jury list contains the names of all individuals who may be called

Question

3. (11pts). 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 signicant evidence suggesting that it is di
er in gender for jury selection,

or could this outcome be explained by chance? ? Assume that signicance 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 problem. 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.

5. (4pts). What is wrong with Expressing hypotheses about proportions and means in a form such

as H0 : ^p = 0:50 and H0 : x = 0. The answer is to be written in a complete sentence.

Explanation / Answer

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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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