The Vegetarian Resource Group commissioned Harris Poll in 2016 to conduct a nationally representative online poll of 2,015 American adults aged 18 and over. They found that 3.3% of the respondents identified as vegetarian.  Food habits in India tend to have a larger religious and social component. How does the popularity of the vegetarian diet differ in the US and India? A 2014 survey conducted by the Registrar General of India found that 29% of Indians were vegetarian. Suppose the proportion was obtained from a random sample of 1,000 Indians. a. Construct and interpret a 99% confidence interval for the difference in proportions of vegetarians in India and the US.  b. Based on the interval, what kind of evidence do you expect to have for the alternative in a two-sided hypothesis test? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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The Vegetarian Resource Group commissioned Harris Poll in 2016 to conduct a nationally representative online poll of 2,015 American adults aged 18 and over. They found that 3.3% of the respondents identified as vegetarian. 

Food habits in India tend to have a larger religious and social component. How does the popularity of the vegetarian diet differ in the US and India? A 2014 survey conducted by the Registrar General of India found that 29% of Indians were vegetarian. Suppose the proportion was obtained from a random sample of 1,000 Indians.

a. Construct and interpret a 99% confidence interval for the difference in proportions of vegetarians in India and the US. 

b. Based on the interval, what kind of evidence do you expect to have for the alternative in a two-sided hypothesis test? Explain. 

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