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IP CChegg St Take a Test Gabrielle Bu Guided S C A https:// www.mathxl.com /Student/PlayerTe stId 46586 aspx Apps UF U UF U D STARS C iversity of Florida UF Reg versity of Florida: versity of Florida ollege Por Agenda C MyMathLab Gabrielle Burch 1/19/16 8:41 PM Test: Chapter 7 Post-Test Time Remaining: 02:59:27 Submit Test This Question: 7 pts 2 of 5 (0 complete This Test: 18 pts possible Question Help HCH A survey indicates that 23% of consumers from a certain region are willing to spend extra for products and services from socially responsible companies. The researchers define these consumers as socially conscious consumers. According to one of the researchers marketers need to know who these consumers are if they want to maximize the social and business return of their cause-marketing efforts. Suppose a sample of 100 consumers from the region is selected. If possible, use the normal distribution to approximate the sampling distribution of the proportion. Complete p (a) through (g) below a. What is the probability that in the sample fewer than 23% are willing to spend extra for products and services from socially responsible companies? The probability is (Round to two decimal places as needed.) b. What is the probability that in the sample between 18% and 28% are willing to spend extra for products and services from socially responsible companies? The probability is (Round to two decimal places as needed.) c. What is the probability that in the sample more than 18% are willing to spend extra for products and services from socially responsible companies? The probability is (Round to two decimal places as needed.) d. If a sample of 400 is taken, what is the probability that in the sample fewer than 23% are willing to spend extra for products and services from socially responsible companies? The probability is 1% (Round to two decimal places as needed.) e. If a sample of 400 is taken, what is the probability that in the sample between 18% and 28% are willing to spend extra for products and services from socially responsible companies? The probability is 1% (Round to two decimal places as needed.) f. If a sample of 400 is taken, what is the probability that in the sample more than 18% are willing to spend extra for products and services from socially responsible companies? Enter your answe n each of the answer boxes 9:42 PM 1/19/2016

Explanation / Answer

Given p=23%=0.23 and n=100

Mean = np = 100*0.23=23; variance = npq=23*(1-0.23)=17.71; SD=sqrt(variance)=4.21

a) P(X<=23%)=P(X<=23)=P(z<=0) = 50%

b)Probability between 18% to 28% =P(18<x<28)= 76.5%

c)Proability More than 18%=P(X>18)=1- P(X<=18)=(1-0.117486)*100=88.25%

d) If n=400 , then mean = 92; standard deviaiton =8.42

Probability fewer than 23% is = P(X<=92)=50%

e)Probability between 18% to 28% =P(72<x<112)= 98.25%

f)Proability More than 18%=P(X>72)=1- P(X<=72)=(1-0.008767)*100=99.12%

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