Members of the We-Luv-Plants club are interested incomparing the tendency of males vs. females to choosea vegetarian diet. They randomly sampled 75 males and75 females at their school. The data showed that 23 of thegirls were vegetarians whereas only 12 of the boys couldstay away from a tasty burger.a) Construct and interpret a 95% confidence interval forthe difference in the proportions between girls andboys who are vegetarians.b) Does this confidence interval provide evidence thatgirls are more likely than boys to choose a vegetariandiet? Explain.c) To what population(s) do your conclusions in parts aand b apply?
Members of the We-Luv-Plants club are interested incomparing the tendency of males vs. females to choosea vegetarian diet. They randomly sampled 75 males and75 females at their school. The data showed that 23 of thegirls were vegetarians whereas only 12 of the boys couldstay away from a tasty burger.a) Construct and interpret a 95% confidence interval forthe difference in the proportions between girls andboys who are vegetarians.b) Does this confidence interval provide evidence thatgirls are more likely than boys to choose a vegetariandiet? Explain.c) To what population(s) do your conclusions in parts aand b apply?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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.
a) Construct and interpret a 95% confidence interval for
the difference in the proportions between girls and
boys who are vegetarians.
b) Does this confidence interval provide evidence that
girls are more likely than boys to choose a vegetarian
diet? Explain.
c) To what population(s) do your conclusions in parts a
and b apply?
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