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lesson8-3-1student

# C is the sample proportion consistent with your

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Unformatted text preview: urs when np ≥ 10 and n(1 – p) ≥ 10, where p is the assumed value of the population proportion in the null hypothesis. We must choose the sample size to be large enough that these criteria are met. 2 Check the assumptions for the bottled water problem. A Are the conditions for approximate normality met? B Calculate the sample proportion. C Is the sample proportion consistent with your alternative hypothesis? © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING A PATHWAY THROUGH STATISTICS, VERSION 1.6, STATWAY™  ­ STUDENT HANDOUT STATWAY STUDENT HANDOUT | 3 Lesson 8.3.1 Hypothesis Tests for Population Proportions Step 3: Assess the Evidence Assuming the null hypothesis is true, we construct a sampling distribution of sample proportions for samples of size n. We know from Module 7 that the sampling distribution of sample proportions will have the following mean and standard error: !! = ! !! = ! (1 − ! ) . ! 3 Assess the evidence in the bottled water problem. A Calculate the mean and standard error of the sampling distribution. B Sketch the sampling distribution with a mean as stated...
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