A concerned group of citizens wanted to determine whether the proportion of armed robberies in the state of Texas was different in 2011 than in 2010. Research shows 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 robery category. Test at the 0.1 significance level. Preliminary: a. Is it safe to assume that n2010 < 5% of all violent crimes during 2010 and n2011 < 5% of all violent crimes during 2011? O Yes O No b. Verify np(1 – p) > 10. Round your answer to one decimal place. n2010p (1 – p) = n2011p(1 – p) = Test the claim: a. Determine the null and alternative hypotheses. Ho: P2010 ? v P2011 Ha: P2010 ? P2011 b. Determine the test statistic. Round to two decimal places. c. Find the p-value. Round to four decimals. p-value = d. Make a decision. O Reject the null hypothesis. O Fail to reject the null hypothesis. e. Write the conclusion. O There is not sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010. O There is 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 determine whether the proportion of armed robberies in the state of Texas was different in 2011 than in 2010. Research shows 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 robery category. Test at the 0.1 significance level. Preliminary: a. Is it safe to assume that n2010 < 5% of all violent crimes during 2010 and n2011 < 5% of all violent crimes during 2011? O Yes O No b. Verify np(1 – p) > 10. Round your answer to one decimal place. n2010p (1 – p) = n2011p(1 – p) = Test the claim: a. Determine the null and alternative hypotheses. Ho: P2010 ? v P2011 Ha: P2010 ? P2011 b. Determine the test statistic. Round to two decimal places. c. Find the p-value. Round to four decimals. p-value = d. Make a decision. O Reject the null hypothesis. O Fail to reject the null hypothesis. e. Write the conclusion. O There is not sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010. O There is sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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