A school principal wants to estimate the true proportion of students in her school who participate in extracurricular activities. After surveying 150 students, she finds that 72% of them are involved in at least one extracurricular activity. (a) Construct a 95% confidence interval for p the true proportion of students who participate in extracurricular activities. (b) Suppose that 5 years ago, 70% of students in this school participated in extracurricular activities. Does the principal have sufficient evidence to claim that the proportion has changed? Conduct an appropriate hypothesis test at a significance level of α = 0.05. Clearly state the null and alternative hypotheses, calculate the test statistic, and draw a conclusion within the context of the problem.

A school principal wants to estimate the true proportion of students in her school who participate in extracurricular activities. After surveying 150 students, she finds that 72% of them are involved in at least one extracurricular activity. (a) Construct a 95% confidence interval for p the true proportion of students who participate in extracurricular activities. (b) Suppose that 5 years ago, 70% of students in this school participated in extracurricular activities. Does the principal have sufficient evidence to claim that the proportion has changed? Conduct an appropriate hypothesis test at a significance level of α = 0.05. Clearly state the null and alternative hypotheses, calculate the test statistic, and draw a conclusion within the context of the problem.

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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