MATH 153Project Part II

Spring2024

In this section of theprojectyou will compute probabilities, useStatCrunchto create a contingency table,and fill out a Venn Diagram. You will need the following resources handy:

TheStatCrunchguide onBrightspace.TheTable from the USDA-Food_Insecurity_Data_2021 file that you used inPart I of theproject.The EXCEL file"Foodbank Data" in the project folder

1.Usethe Tablein the USDA-Food_Insecurity_Data_2021 fileto answer the following questions:

a)Inhouseholds with children under 18which category is least likely to have low food insecurity?

b)Find the probabilitythat a randomly selected household with children under 18isasinglemenhouseholdwith children.

c)Find the probability thata householdhaschildren under 18given that it has low food security.

d)Find the probability that a randomly selected household with elderly has low food insecurity.

2.Asimilar survey was conducted regardingfoodinsecurity on college campuses.One questionfoodbankswere asked,related totheirfooddistribution methods-directon campus distribution(pantries)and mobile distribution(pop-ups).a.Usethe "FoodbankData" fileto create a contingency tableinStatCrunch.Definemobile distribution as the row variable and on-campusdirectdistribution as the column variable.Pleaseensure to check theExpected Count box.Insert titlesusing a text box feature in Word.Insert the output table below:

Place forStatCrunchOutput table:

b.Use this table to complete the Venn diagram below:Make sure to labeleach sectionaccuratelyand to enter counts for eachanswer.

3.Usethecontingency table and/orVenn diagram to answerthefollowing questions:Provide all probability answers accurate to 3 decimal places. All percentage answers need to be rounded to 1 decimal place, e.g. 33.4%.

a.Find the probability that a randomly selected food bank has only mobile distribution.

b.What percentage of food banks havedirecton-campus andmobile food distribution?

c.What percentage of food banks havedirecton-campus or mobile food distribution?

d.The survey revealsthatout of totalof150 foodbanks,129food banks participate incollege hunger activitiesand21donot.What is the probability thata randomly selected food bank doesnot participate in college hunger activities?

e.What is the probability that a randomly selected food bankinvolvedin college hunger activitiesparticipatesindirecton-campusfood distribution?