lesson8-3-1student

31 hypothesis tests for population proportions

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

Ask a homework question - tutors are online