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Page 13 Use the scenario below for the following 5 questions. Brad and Lisa are

ID: 3324609 • Letter: P

Question

Page 13 Use the scenario below for the following 5 questions. Brad and Lisa are members of Greek organizations at the University of Arkansas. They both volunteer their time for various organizations in Fayetteville. Brad's favorite place to volunteer is the Washington County Animal Shelter and Lisa's favorite place to volunteer is the Fayetteville Boys and Girls club. Lisa believes that sororities volunteer, on average, more hours than fraternities. Brad disagrees with Lisa's opinion and they make a bet. The loser of the bet will buy dinner. They sample 50 random males in fraternities and 50 random females in sororities and ask them how many hours a month they volunteer for local organizations. You need to determine if Lisa's opinion is supported by the data with a 5% level of significance. 6. Which set of hypotheses is appropriate for testing Lisa's opinion? b. Ho· Fraternities-Sonorites1S 0; Hi : 4FraternitioSceorities) > 0 Ho: Fraternities. Sororitesi20; Hi : uhatermities. Sororities)

Explanation / Answer

6)

Lisa believes sororities works more hour than fraternitites

Thus, null Hypothesis is H0: usorrorities - ufraternities > 0 or ufraternities - usorrorities <= 0

Thus Option B

7) To determine conclusion we need to check data and perform hypothesis test for the difference between two means

Calculate test statistics and P-value.

If P value is not significant (less than level of significance value) we reject the null hypothesis

If P value is significant (greater than or equal to level of significance value) we accept the null hypothesis

8)

type I error is the incorrect rejection of a true null hypothesis (also known as a "false positive" finding). Usually a type I error leads one to conclude that a supposed effect or relationship exists when in fact it doesn't.

Thus, Option A

10)

We are testing difference in hours for sorrorities and fraternities

Option A