= proportion of motorists who check their cell phones while drivingA traffic officer believes that the percentage of motorists who check their cell phones while driving is different from 50%.Identifies:a) The research hypothesis H1b) The null hypothesis HOc) The rejection region of the null hypothesisO a) H;: p = 0.5b) Họ: p + 0.5c) [z, 00)O a) H;: p + 0.5b) Họ: p = 0.5c) (-00, -z]O a) H;: p = 0.5b) Hо: р 2 0.5c) (-00 , -z] U [z, 0)O a) H;: p + 0.5b) Họ: p = 0.5c) (-00, -z] U [z, 0)

Solution: Given that: p= 0.50 Population proportion of motorists who check their cell phones…

Answered: p= proportion of motorists who check…

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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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…
Q2)A two sided hypothesis test is performed about a population proportion p.The valid alternative hypothesis is :- (choose the correct option) • p=0.4 ⚫ p0.9 • p0.6
Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
Test the claim that the proportion of men who own cats is significantly different than 50% at the 0.02 significance level.a.) The null and alternative hypothesis would be: b.) The test is: right-tailed left-tailed two-tailed Based on a sample of 60 men, 59% owned cats c.) The sample proportion ˆp=d.) The test statistic is: (to 2 decimals)e.) At α=α=0.02, the critical value is:± (to 2 decimals)f.) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Answer part c.) and d) PLEASE PROVIDE TYPED ANSWERS TYPED ANSWERS.
Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.02 significance level. The null and alternative hypothesis would be: Но: HF Ho: UM = µF Ho:PM — pF Ho:рм PF Ho: им — MF Ho:; PF Нi: рм > иF Hi: рм # pF Hi:рм рF Hi: рм < pF Hi:рм # pғ The test is: right-tailed two-tailed left-tailed Based on a sample of 80 men, 25% owned cats Based on a sample of 40 women, 50% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
3. The producers of a new toothpaste want to see if it is performing similar to their main whitening toothpaste in preventing cavities. Their main whitening tooth paste performance at a six-month checkup is i.73 (o-1.12). To test the new tooth paste, 60 people used it for six-months. At the checkup they found a mean of 1.5 cavities. Perform the appropriate hypothesis testing. Make sure to include all the steps (hypotheses, critical values, calculations, conclusions an interpretations). 0.0 68

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