11. -2 points MBasicStat7 13.E.052 My Notes Ask Your Teacher Lactose intolerance

Question

11. -2 points MBasicStat7 13.E.052 My Notes Ask Your Teacher Lactose intolerance causes difficulty digesting dairy products that contain lactose (milk sugar). It is particularly common among people of African and Asian ancestry. In a country (ignoring other groups and people who consider themselves to belong to more than one race), 78% of the population is white, 15% is black, and 7% is Asian. Moreover, 15% of whites, 70% of blacks, and 90% of Asians are lactose intolerant. (a) What percent of the entire population is lactose intolerant? (Enter your answer to one decimal place.) (b) What percent of people who are lactose intolerant are Asian? (Round your answer to two decimal places.)

Explanation / Answer

(a)

percent of population who are lactose intolerant=((78*15)+(15*70)+(7*90))/100 %

percent of population who are lactose intolerant=(1170+1050+630)/100 %

percent of population who are lactose intolerant=2850/100 %

percent of population who are lactose intolerant=28.5 %

(b)

percent of population who are lactose intolerant are asian=percent of population who are asian and lactose intolerant/percent of population who are lactose intolerant

percent of population who are lactose intolerant are asian=(7*90)/28.5 %

percent of population who are lactose intolerant are asian=22.11%

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