Members of the We-Luv-Plants club are interested in comparing the tendency of males vs. females to choose a vegetarian diet. They randomly sampled 75 males and 75 females at their school. The data showed that 23 of the girls were vegetarians whereas only 12 of the boys could stay away from a tasty burger. Construct and interpret a 95% confidence interval for the difference in the proportions between girls and boys who are vegetarians (you might want to include ALL steps here).Does this confidence interval provide evidence that girls are more likely than boys to choose a vegetarian diet? Explain.To what population(s) do your conclusions in parts a and b apply?

The objective of this question is to construct a 95% confidence interval for the difference in the…

Answered: Members of the We-Luv-Plants club are…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Members of the We-Luv-Plants club are interested in comparing the tendency of males vs. females to choose a vegetarian diet. They randomly sampled 75 males and 75 females at their school. The data showed that 23 of the girls were vegetarians whereas only 12 of the boys could stay away from a tasty burger.

Construct and interpret a 95% confidence interval for the difference in the proportions between girls and boys who are vegetarians (you might want to include ALL steps here).
Does this confidence interval provide evidence that girls are more likely than boys to choose a vegetarian diet? Explain.
To what population(s) do your conclusions in parts a and b apply?

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