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# 2 of americans are underemployed3 underemployment is

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Unformatted text preview: n 8.3.2 Additional Hypothesis Tests for Population Proportions B What can you conclude about the alternative hypothesis? C Interpret your decision in the context of the problem. D Recall that a type I error occurs when we reject the null hypothesis even though it is true. A type II error occurs when we fail to reject the null hypothesis even though the alternative hypothesis is true. If the conclusion for this test is wrong, was the error a type I error or type II error. NEXT STEPS Drawing Conclusions from Hypothesis Tests Underemployment A 2011 Gallup poll found that that 18.2% of Americans are underemployed3. Underemployment is a measurement that combines the percentage of workers who are unemployed with the percentage of workers who are working part ­time but seeking full ­time work. Employment spets and statisticians throughout the United States argue that this estimate of the population proportion is low. Suppose a statistician in New York finds an underemployment rate of 23.5% based on a random sample of 400 New York residents. The statistician tests the hypotheses !! :! = 0.182 !! :! &gt; 0.182 and determines the P ­value to be approximately 0.003. At a 5% level of significance, the statistician concludes that the proportion of Americans who are underemployed is greater than 18.2%. 1 Explain whether or not the statistician’s conclusion is valid. © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEA...
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## This document was uploaded on 03/13/2014 for the course MATH 75 at Skyline College.

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