What percent of Asians are lactose intolerant? Ο 75% Ο 82% Ο 90% Ο 54% Ο 25%
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Lactose intolerance Lactose intolerance causes difficulty in digesting dairy products that contain lactose (milk sugar). It is particularly common among people of African and Asian ancestry. In the United States (ignoring other groups and people who consider themselves to belong to more than one race), 82% of the population is white, 14% is black, and 4% is Asian. Moreover, 15% of whites, 70% of blacks, and 90% of Asians are lactose intolerant.20 (a) What percent of the entire population is lactose intolerant? (b) What percent of people who are lactose intolerant are Asian?
Probability: What Are the Chances?
Conditional Probability and Independence
Lactose intolerance Lactose intolerance causes difficulty in digesting dairy products that contain lactose (milk sugar). It is particularly common among people of African and Asian ancestry. In the United States (ignoring other groups and people who consider themselves to belong to more than one race), $82 \%$ of the population is white, $14 \%$ is black, and $4 \%$ is Asian. Moreover, $15 \%$ of whites, $70 \%$ of blacks, and $90 \%$ of Asians are lactose intolerant. ${ }^{19}$ Suppose we select a U.S. person at random. (a) What is the probability that the person is lactose intolerant? Show your work. (b) Given that the person is lactose intolerant, find the probability that he or she is Asian. Show your work.
A report finds that Asian residents in Boston have the highest average life expectancy of any racial or ethnic group—a decade longer than black residents. The report included the following summary statistics: Asian: x̄1 = 83.7 years, s1^2 = 26.3, n1 = 20 Black: x̄2 = 73.5 years, s2^2 = 27.5, n2 = 20 Latino: x̄3 = 80.6 years, s3^2 = 28.2, n3 = 20 White: x̄4 = 79.0 years, s4^2 = 24.8, n4 = 20 a. Specify the competing hypotheses to test whether there are some differences in average life expectancies between the four ethnic groups. b. Construct an ANOVA table. Assume life expectancies are normally distributed. (Round "SS" to 2 decimal places, "MS" to 4 decimal places and "F" to 3 decimal places.) ANOVA Source of Variation | SS | df | MS | F | p-value Between Groups | | | | | 0.000 Within Groups | | | | | Total | | | | c. At the 5% significance level, what is the conclusion to the test?
James K.
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