arch snowed 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: #2010 H1: H2010 > H2011 H2011 O Ho: P2010 H1: P2010 < P2011 P2011 O Ho: H2010 H1: 42010 < 42011 U2011 O Ho:P2010 = P2011 H1: P2010 + P2011 O Ho: H2010 = H2011 H1: 42010 + 42011 O Ho: P2010 H1: P2010 > P2011 P2011 b) Determine the test statistic. Round to two decimals. c) Find the p-value and round to 4 decimals. P = d) Make a decision. O Reject the null hypothesis O Fail to reject the null hypothesis

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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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: #2010
H1: H2010 > H2011
H2011
O Ho: P2010
H1: P2010 < P2011
P2011
O Ho: 42010
H1: 42010 < u2011
l2011
O Ho:P2010 = P2011
H1: P2010 + P2011
O Ho: H2010 = H2011
H1: 42010 + 42011
O Ho:P2010 = P2011
H1: P2010 > P2011
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
Transcribed Image Text: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: #2010 H1: H2010 > H2011 H2011 O Ho: P2010 H1: P2010 < P2011 P2011 O Ho: 42010 H1: 42010 < u2011 l2011 O Ho:P2010 = P2011 H1: P2010 + P2011 O Ho: H2010 = H2011 H1: 42010 + 42011 O Ho:P2010 = P2011 H1: P2010 > P2011 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 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.
Use the box what type of test you used in your calculator.
Transcribed Image Text: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. Use the box what type of test you used in your calculator.
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