The principal of a school would like to investigate whether more than 40% of the senior learners smoke. The study involved a random sample of 120 learners and 60 learners reported that they were smokers. Let: p= the population proportion of senior learners who smoke. p¯= the sample proportion of senior learners who smoke. (a) give the standard error of p¯ under the null Hypothesis (b) calculate the value of the test statistic (c) give the p-value
The principal of a school would like to investigate whether more than 40% of the senior learners smoke. The study involved a random sample of 120 learners and 60 learners reported that they were smokers. Let: p= the population proportion of senior learners who smoke. p¯= the sample proportion of senior learners who smoke. (a) give the standard error of p¯ under the null Hypothesis (b) calculate the value of the test statistic (c) give the p-value
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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The principal of a school would like to investigate whether more than 40% of the senior learners smoke. The study involved a random sample of 120 learners and 60 learners reported that they were smokers.
Let:
- p= the population proportion of senior learners who smoke.
- p¯= the sample proportion of senior learners who smoke.
(a) give the standard error of p¯ under the null Hypothesis
(b) calculate the value of the test statistic
(c) give the p-value
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