A concerned group of citizens wanted to determine whether the proportion of armedrobberies in the state of Texas was different in 2011 than in 2010. Research shows that ofthe 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 0.01significance level.Preliminary:a. Is it safe to assume thatn2010 < 5 % of all violent crimes during 2010 andn2011 < 5 % of all violent crimes during 2011?NoYesb. 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 ? P2011Ha: P2010 ? v P2011b. 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 Fail to reject the null hypothesis.Reject the null hypothesis.e. Write the conclusion.O There is sufficient evidence to support the claim that the proportion ofarmed robberies is different in 2011 than 2010.O There is not sufficient evidence to support the claim that the proportion ofarmed robberies is different in 2011 than 2010.

Givenx1=7622n1=113231p^1=x1n1=7622113231=0.067x2=7439n2=104873p^2=x2n2=7439104873=0.071α=0.01

Answered: A concerned group of citizens wanted to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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7.88 Aluminum cans contaminated by fire. A gigantic NW warehouse located in Tampa, Florida, stores approxi- mately 60 million empty aluminum beer and soda cans. Recently, a fire occurred at the warehouse. The smoke from the fire contaminated many of the cans with black- spot, rendering them unusable. A University of South Florida statistician was hired by the insurance com- pany to estimate p, the true proportion of cans in the warehouse that were contaminated by the fire. How many aluminum cans should be randomly sampled to estimate the true proportion to within .02 with 90% confidence?
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1
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18. The governor of New York has banned selling or purchasing "large" soft drinks, where a "large" is defined as being more than 16 oz. Sonic, famous for its Route 44 drinks is interested in estimating the proportion of New Yorkers that favor this ban. From a random survey of 800 New Yorkers, 375 answered no to the question, “Do you favor the governor's ban on 'large' soft drinks?" a. Find a 97.5% confidence interval for the proportion of New Yorkers who favor the ban on "large" soft drinks. b. Interpret the confidence interval. c. Can you conclude with 97.5% confidence that a majority of New Yorkers favor the ban on "large" soft drinks? Why or why not. d. Without doing any other calculations, can you be 99% confident that a majority of New Yorkers favor the ban on “large" soft drinks?
Suppose that in a random selection of 100 colored candies, 20% of them are blue. The candy company claims that the percentage of blue candies is equal to 22%. Use a 0.01 significance level to test that claim.
California Department of Education deems a student to be prepared for college if she scores higher than a certain score on the SAT A survey was conducted looking at 651 students' SAT scores and it was found that 573 students were considered to be prepared for college. Use a 0.10 significance level to test the claim that the proportion of students prepared for college is equal to 80%. Claim: Select an answer v which corresponds to Select an answer v Opposite: Select an answer v which corresponds to Select an answer v The test is: Select an answer v The test statistic is: (to 2 decimals) The p-value is: (to 4 decimals) Based on this we: Select an answer Conclusion There Select an answer v appear to be enough evidence to support the claim that the proportion of students prepared for college is equal to 80%.

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