For a test of (mathrm{H}_{0}: p=0.50), the sample proportion is 0.35 based on a sample size of

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For a test of \(\mathrm{H}_{0}: p=0.50\), the sample proportion is 0.35 based on a sample size of 100 .

a. Show that the test statistic is \(z=-3.0\).

b. Find the \(\mathrm{P}\)-value for \(\mathrm{H}_{a}: p<0.50\) using, e.g, the Normal Distribution app.

c. Does the \(\mathrm{P}\)-value in part \(\mathrm{b}\) give much evidence against \(\mathrm{H}_{0}\) ? Explain.

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Statistics The Art And Science Of Learning From Data

ISBN: 9781292444765

5th Global Edition

Authors: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

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