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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 !! :! > 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.
 Spring '14
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