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 0.05 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? OYes ONo b. Verify np(1-p)2 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 H: P2010 ? V 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. OThere is not sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010. OThere is sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010.

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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 0.05 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
ONo
b. Verify np(1-P)2 10. Round your answer to one decimal place.
n12010p (1 – p) =
N2011P(1 – p) =
Test the claim:
a. Determine the null and alternative hypotheses.
Ho: P2010 ? VP2011
H.: P2010 ? V 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.
OThere is not sufficient evidence to support the claim that the proportion of armed robberies is
different in 2011 than 2010.
OThere is sufficient evidence to support the claim that the proportion of armed robberies is
different in 2011 than 2010.
Transcribed Image Text: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 0.05 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 ONo b. Verify np(1-P)2 10. Round your answer to one decimal place. n12010p (1 – p) = N2011P(1 – p) = Test the claim: a. Determine the null and alternative hypotheses. Ho: P2010 ? VP2011 H.: P2010 ? V 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. OThere is not sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010. OThere is sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010.
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