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:�0:�2010=�2011�1:�2010≠�2011�0:�2010=�2011�1:�2010<�2011�0:�2010=�2011�1:�2010≠�2011�0:�2010=�2011�1:�2010>�2011�0:�2010=�2011�1:�2010>�2011�0:�2010=�2011�1:�2010<�2011b) Determine the test statistic. Round to two decimals.�=c) Find the p-value and round to 4 decimals.p = d) Make a decision.Fail to reject the null hypothesisReject the null hypothesise) Write the conclusion.There is not sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010.There is sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010.

a) H0: p2010=p2011H1: p2010≠p2011 b) z=-3.33c) p = 0.0009d) Reject the null hypothesise) There is…

Answered: A concerned group of citizens wanted to…

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

See similar textbooks

Related questions

Question

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:

�0:�2010=�2011
�1:�2010≠�2011
�0:�2010=�2011
�1:�2010<�2011
�0:�2010=�2011
�1:�2010≠�2011
�0:�2010=�2011
�1:�2010>�2011
�0:�2010=�2011
�1:�2010>�2011
�0:�2010=�2011
�1:�2010<�2011

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

�=

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

p =

d) Make a decision.

Fail to reject the null hypothesis
Reject the null hypothesis

e) Write the conclusion.

There is not sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010.
There is sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010.

Expert Solution

Step by step

Solved in 1 steps

SEE SOLUTION Check out a sample Q&A here