Suppose that a random sample of 60 horror movies containing 100 character deaths was collected. Among the characters who died, 44% were female. a) Suppose that you'd like to estimate the true proportion of deaths in horror movies that are female deaths within a margin of error of 3% with 95% confidence. How many character deaths would you have to witness in order to achieve this margin of error? b) Calculate a 95% confidence interval for the true proportion of deaths that are female deaths in horror movies, using our original sample.

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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Suppose that a random sample of 60 horror movies containing 100 character deaths was collected. Among the characters who died,
44% were female.
a) Suppose that you'd like to estimate the true proportion of deaths in horror movies that are female deaths within a margin of error of
3% with 95% confidence. How many character deaths would you have to witness in order to achieve this margin of error?
b) Calculate a 95% confidence interval for the true proportion of deaths that are female deaths in horror movies, using our original
sample.
c) Interpret the confidence interval in the context of the question.
d) Check the assumptions for your confidence interval above. Are there any that you might be concerned about?
Transcribed Image Text:Suppose that a random sample of 60 horror movies containing 100 character deaths was collected. Among the characters who died, 44% were female. a) Suppose that you'd like to estimate the true proportion of deaths in horror movies that are female deaths within a margin of error of 3% with 95% confidence. How many character deaths would you have to witness in order to achieve this margin of error? b) Calculate a 95% confidence interval for the true proportion of deaths that are female deaths in horror movies, using our original sample. c) Interpret the confidence interval in the context of the question. d) Check the assumptions for your confidence interval above. Are there any that you might be concerned about?
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