2. (11pts). The 60 students in a class at the University of Florida made blinded

ID: 3362554 • Letter: 2

Question

2. (11pts). The 60 students in a class at the University of Florida made blinded evaluations of pairs

of cola drinks. For the 60 comparisons of Coke and Pepsi, Coke was preferred 35 times. Is this

strong evidence that a majority prefers one of the drinks, or could this outcome be explained by

chance?

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.

since question 3,4,5 is not related to your first question i.e. question number 2, so as per chegg guide-lines only first question may be answered.

following information has been generated usin ms-excel

here null hypothesis H0:p1=p2 and

alternate hypothesis H1:p1 not equal to p2

we use z-test and z=(p1-p2)/SE(p1-p2)=(0.5833-0.4167)/sqrt(0.0167)= 1.29 is less than tww tailed z(0.05)=1.96,

so we fail to reject H0 and conclude that there is not sufficient evidence at 5% level of significance that majority prefers one of the drinks.

var(p1-p2)=var(p1)+var(p2)=0.0167

SE(p1-p2)=sqrt(var(p1-p2))=sqrt(0.0167)=0.01292

coke pepsi total number 35 25 60 proportion(p) 0.583333 0.416667 1 var(p) 0.004051 0.004051 0.016667

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