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Unformatted text preview: CHING A PATHWAY THROUGH STATISTICS, VERSION 1.6, STATWAY™  ­ STUDENT HANDOUT STATWAY STUDENT HANDOUT | 6 Lesson 8.3.2 Additional Hypothesis Tests for Population Proportions TAKE IT HOME Health Insurance According to the US Census Bureau, 18.3% of Americans age 18 to 24 were covered by government health insurance in 2009. Suppose that, this year, a random sample of 200 Americans yields 48 who are covered by government health insurance. Test whether the proportion of Americans age 18 to 24 that are covered by government health insurance is different from the 2009 proportion. Use a level of significance of 5%. 1 Determine the Hypotheses A State the null and alternative hypotheses. B Will you perform a left ­tailed, right ­tailed, or two ­tailed test? 2 Collect the Data A Are the conditions for normality met? B Calculate the sample proportion. C Is your sample proportion consistent with your alternative hypothesis? 3 Assess the Evidence A Calculate the mean and standard error of the sampling distribution. © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING A PATHWAY THROUGH STATISTICS, VERSION 1.6, STATWAY™  ­ STUDENT HANDOUT STATWAY STUDENT HANDOUT | 7 Lesson 8.3.2 Additional Hypothesis Tests for Population Proportions B Sketch the sampling distribution with a mean based on the null hypothesis and identify the position of the observed sample statistic. C Calculate the test statistic. D Is the...
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