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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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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