lesson8-3-1student

# 31 hypothesis tests for population proportions

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Unformatted text preview: in the null hypotheses, and identify the position of the observed sample statistic. The test statistic is the Z ­score for the observed sample proportion in the sampling distribution, and is computed using the formula: != !−! ! (! ! ! ) !  For the bottled water problem: C Calculate the test statistic. © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING A PATHWAY THROUGH STATISTICS, VERSION 1.6, STATWAY™  ­ STUDENT HANDOUT STATWAY STUDENT HANDOUT | 4 Lesson 8.3.1 Hypothesis Tests for Population Proportions D Is the test statistic unusual? The P ­value is the probability of observing a random sample (and hence Z ­score) that is at least as extreme as our test statistic, under the assumption of the null hypothesis. For a left ­tailed test, the alternative hypothesis Is Ha : p < k, and the P ­value is the area to the left of the test statistic. Z T.S. 0 For a right ­tailed test, the alternative hypothesis Is Ha : p > k, and the P ­value is the area to the right of the test statistic. Z 0 T.S. 0 T.S. For a two ­tailed test, the alterna...
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