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: O Ho:P2010 = P2011 H1:P2010 < P2011 O Ho:H2010 = H2011 H1: H2010 + H2011 O Ho:P2010 = P2011 H1: P2010 + P2011 Ho:µ2010 = H2011 H1: µ2010 > H2011 Ho:P2010 = P2011 H1: P2010 > P2011 Ho:µ2010 = H2011 H1: µ2010 < H2011 b) Determine the test statistic. Round to two decimals. c) Find the p-value and round to 4 decimals. d) Make a decision. O Reject the null hypothesis O Fail to reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010. O There is not sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010.
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: O Ho:P2010 = P2011 H1:P2010 < P2011 O Ho:H2010 = H2011 H1: H2010 + H2011 O Ho:P2010 = P2011 H1: P2010 + P2011 Ho:µ2010 = H2011 H1: µ2010 > H2011 Ho:P2010 = P2011 H1: P2010 > P2011 Ho:µ2010 = H2011 H1: µ2010 < H2011 b) Determine the test statistic. Round to two decimals. c) Find the p-value and round to 4 decimals. d) Make a decision. O Reject the null hypothesis O Fail to reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010. O There is not sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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