Previously, 5.5% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. Sherandomly selects 60 workers and finds that 9 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the a = 0.05 level ofsignificance....What are the null and alternative hypotheses?0.055 versus H1: pHo: p(Type integers or decimals. Do not round.)>0.055%3DBecause npo (1- Po) =10, the normal modelbe used to approximate the P-value.(Round to one decimal place as needed.)

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Answered: reviously, 5.5% of workers had a travel…

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) Determine the null and alternative hypotheses that would be used to test the effectiveness of the marketing campaign. Ho: = μ 56 H₁: μ > 56 (Type integers or decimals. Do not round.) (b) A sample of 884 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put out by the marketing department. O A. There is not sufficient evidence to conclude that the mean consumption of popcorn has risen. B. There is sufficient evidence to conclude that the mean consumption of popcorn has risen. C. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. D. There is not sufficient evidence to conclude that the mean consumption of popcorn has stayed the same.
5. A researcher constructed a 95% confidence interval for the true mean number of years students take to earn a bachelor's degree. His results were (4.319, 4.841). a. What is the point estimate for the average number of years to complete a bachelor's degree? b. Does his interval support or contradict the widely held belief that it takes 4 years to complete a bachelor's degree? Why or why not?
Previously, 10.4% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 75 workers and finds that 16 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the a = 0.1 level of significance. What are the null and alternative hypotheses? 0.104 versus H1: p Ho: p P = (Type integers or decimals. Do not round.) > 0.104 %3D Because npo (1- Po) 10, the normal model be used to approximate the P-value. %3D (Round to one decimal place as needed.)
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 74% at a level of significance of = 0.01. According to your sample, 51 out of 62 potential voters prefer the Democratic candidate. a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?> Select an answer (please enter a decimal) H₁ Select an answer (Please enter a decimal) c. The test statistic? = your answer to 3 decimal places.) d. The p-value = to 4 decimal places.) e. The p-value is ? ✰ a (please show (Please show your answer f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger than 74% at a = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 74%. The data suggest the population proportion is not…
A university has decided to introduce the use of plus and minus grading as long as there is evidence that 60% of the faculty is in support of this change. Write an appropriate null hypothesis and alternate hypothesis to test if the proportion is greater than 60%.
SU PO The proportion p of residents in a community who recycle has traditionally been 70%. A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 138 out of a random sample of 220 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) state the null hypothesis Ho and the alternative hypothesis H₁. Ho : 0 H₁ (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 7 (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 70%? X Yes No W U X ㅁ 0=0…
In a survey of 1120 new college graduates 281 had a professional job on graduation day. One year ago the proportion of graduates with a professional job on graduation day was .24 or 24%. The setup of the null and alternative hypotheses to test whether there is sufficient evidence to conclude that the proportion of graduates with a professional job is higher now than it was one year ago is: (a) Ho :p= .24 vs. H1 : p .24 (d) Ho : p = .25 vs. H1 : p .24 The value of the test statistic is: (а) 2.109 (b) .011 (c) .841 (d) 28.141 (е) .854
8)
A demographer wants to know what proportion of women in different countries dye their hair. They take a random sample of women from Korea and another random sample of women from China. In Korea, 47% dyed their hair. In China, 56% dyed their hair. (a) What hypotheses would the demographer use to test if women in China are more likely to dye their hair than women in Korea? H0: pChina=pKorea vs. Ha: pChina ≠ pKoreaH0: pChina - pKorea = 0 vs. Ha: pChina - pKorea > 0 H0: μChina-μKorea = 0 vs. Ha: μChina-μKorea ≠ 0H0: pChina-pKorea = 0.09 vs. Ha: pChina-pKorea ≠ 0.09H0: μChina = 0.56 vs. Ha: μKorea = 0.47 (b) Suppose their test yielded a p-value of 0.079. What does this mean in the context of the test? We are 7.9% confident that the results of our test are correct.If the women of two countries have the same rates of coloring their hair, the probability of getting a difference at least this large is 0.079. If we take another sample, the probability of getting the same p̂China and…

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