lesson8-3-1student

Small pvalues less than or equal to provide sufficient

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Unformatted text preview: tive hypothesis is Ha : p ≠ k, and the P ­value is twice the area of the tail to the right of a positive test statistic, or to the left of a negative test statistic. -T.S. For the bottled water problem: E Use the test statistic to determine the P ­value. © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING A PATHWAY THROUGH STATISTICS, VERSION 1.6, STATWAY™  ­ STUDENT HANDOUT Z STATWAY STUDENT HANDOUT | 5 Lesson 8.3.1 Hypothesis Tests for Population Proportions Step 4: State a Conclusion When the null hypothesis is assumed to be true, the P ­value can be thought of as the probability of obtaining a sample proportion at least as extreme as the one observed. Small P ­values (less than or equal to α) provide sufficient justification for the rejection of the null hypothesis in favor of the alternative. Large P ­ values do not justify a rejection of the null hypothesis. It is important to explain the result of your test in a way that is easy to understand. Remember that the hypothesis test process is not infallible, and therefore some uncertainty should be present in your language. Your conclusion can give support to t...
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