324 out of a simple random sample of 400 students hated their online math course. a) Find a 99% confidence interval for the true proportion of students who liked their online math course. b) Will this interval allow us to conclude that fewer than 85% of all students hated their online math course? Explain.

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 6E: List the sample space of each experiment. Tossing three coins
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 324 out of a simple random sample of 400 students hated their online math course.
a) Find a 99% confidence interval for the true proportion of students who liked
their online math course.

b) Will this interval allow us to conclude that fewer than 85% of all students hated
their online math course? Explain. 

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