concerned group of citizens wanted to know if the proportion of armed robberies in Texas was different in 2011 than in 2010. Their research showed that of the 113,231 violent crimes in Texas in 2010, 7,622 of them were armed robberies. In 2011, 7,439 of the 104,873 violent crimes were in the armed robbery category. Test at a 5% significance level. a) The null and alternative hypothesis would be: H0:p2010=p2011 H1:p2010p2011 H0:μ2010=μ2011 H1:μ2010>μ2011 b) Determine the test statistic. Round to two decimals.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A concerned group of citizens wanted to know if the proportion of armed robberies in Texas was different in 2011 than in 2010. Their research showed that of the 113,231 violent crimes in Texas in 2010, 7,622 of them were armed robberies. In 2011, 7,439 of the 104,873 violent crimes were in the armed robbery category. Test at a 5% significance level.

a) The null and alternative hypothesis would be:

  • H0:p2010=p2011
    H1:p2010<p2011
  • H0:μ2010=μ2011
    H1:μ2010<μ2011
  • H0:p2010=p2011
    H1:p2010≠p2011
  • H0:μ2010=μ2011
    H1:μ2010≠μ2011
  • H0:p2010=p2011
    H1:p2010>p2011
  • H0:μ2010=μ2011
    H1:μ2010>μ2011



b) Determine the test statistic. Round to two decimals.

z=

c) Find the p-value and round to 4 decimals.

p = 

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