1. Define null and alternate hypo2.statealpha3.Degreeoffreedom4.decisionrule5.test statistic 6.state the results 7.state conclusion To test if age and income are related, researchers collectedthe ages and yearly incomes of 10 individuals, shownbelow. Using alpha = 0.05, are they related?SubjectAgeYearlyIncome($)1815,0002.2529,0003.5768,0004.4552,0005.2632,0009.6480,0007.3741,0008.4045,0009.2426,000103333,000 WATCH THE VIDEO:1.Define the Null and Alternative Hypotheses:2.State the Alpha:3.Calculate the Degrees of Freedom:4.State the Decision Rule:Here is a diagram of our tablea=5%afone tailtwo tail0,991.000.900.810.730.670.620.580.950.883.0810.750.710670.630.600.580.530.53D546.1011120.520.500.480.46

Given that We have to test To test if age and income are related, researchers collected the ages…

Answered: . Define null and alternate hypo…

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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Lan says that students’ favorite restaurants in Conway are not equally distributed between ZaZa’s, Umami, Mike’s Place, Brick and Forge, and The Pasta Grill. Nynaeve tests this claim by asking 40 students what their favorite restaurant is. Her survey results are 12 for ZaZa, 6 for Umami, 3 for Mike’s Place, 8 for Brick and Forge, and 11 for The Pasta Grill. Test the validity of Lan’s claim with a significance level of α = 0.05. [Hint: You are testing whether your data is a good fit against the presumption that all are equal.]
3. The article "Doctors Cite Burnout in Mistakes" (San Luis Obispo Tribune, March 5, 2002) reported that many doctors who are completing their residency have financial struggles that could interfere with training. In a sample of115 residents, 38 reported that they worked moonlighting jobs and 22 reported a credit card debt of more than $3000. Suppose that it is reasonable to consider this sample of 115 as a random sample of all medical residents in the United States. a) Construct and interpret a 95% confidence interval for the proportion of U.S. medical residents who work moonlighting jobs. b) Construct and interpret a 90% confidence interval for the proportion of U.S. medical residents who have a credit card debt of more than $3000. c) Give two reasons why the confidence interval in Part (a) is wider than the confidence interval in Part (b).
The human resource manager at a car dealership wants to know if the ages of its employees are related to the department that they work in. Data was compiled and tabulated in a 2-way contingency table. The employees were classified according to their age and department. Expected counts are printed below observed counts Saies Accounts Marketing Repairs Total 20-29 10 27 43 88 17.74 *** 26.20 23.62 30-39 29 26 22 38 26.72 23.18 34.24 30.86 40-49 33 32 72 82 219 44.15 50.88 65.20 58.77 50-59 81 106 86 75.97 54 327 65.92 97.36 87.75 Total 151 ** 223 201 749 **** + Chi-Sq = 5.348 + 0.024 + 15.912 + 1.459 + 0.019 + 0.413 + 2.544 + 2.816 + 7.003 + 0.709 + 9.182 + 3.448 + 11.875 + 1.325 + 12.983 = 80.395 DF = *****, P-Value = ****** No cells with expected counts less than 5. a) Name the random variables present in the table above. b) Carefully define the null and alternative hypotheses of the Chi Square test underlying the generation of the above table. CO
11. In professional tennis for 2017 men challenged 2100 calls and 1105 of them were changed. While women challenged 1309 calls and 625 of them were changed. Conduct a hypothesis test to test the claim that men get more calls changed than women. Use a significance level of 0.05.
13. Consider a town in which 90% of the taxis are blue and 10% are green. One night a taxi hits a pedestrian and speeds off. A witness says.that the taxi was green. The pedestrian sues the Green Cab Co. The court orders a test of the witness's nighttime color perception. The test reveals that the witness correctly identifies 70% of blue color samples and 80% of green color samples. If a juror were to employ the representativeness heuristic to estimate the probability that the cab is green, he would overestimate that probability by the amount (a) 9/10 (b) 33/70 (c) 4/7 (d) 8/35 (e) 10/21
1. A car dealer wants to determine whether there is a difference in gas mileage between six car models. The ANOVA table for the data is given below. [Seorang pengusaha kereta ingin menentukan sama ada terdapat perbezaan perbatuan gas di antara 3 model kereta. Jadual ANOVA bagi data berkenaan seperti di bawah.] Source [Sumber] [Darjah kebebasan] [Jumlah kuasa dua] [Min kuasa dua] Treatment Degress of freedom Sum of squares Mean square F a 74 d f |[Rawatan] Error [Ralat] Total 35 195 Jumlah] (a) Complete the ANOVA table. [Lengkapkan jadual ANOVA tersebut.] (b) Write the hypotheses and determine whether there is a significant difference between mean gas mileage by different car models at a = 0.05. [Tulis hipotesis dan tentukan sama ada terdapat perbezaan yang signifikan antara perbatuan purata gas oleh model kereta yang berbeza pada a = 0.05.] %3D
9. A. ANOVA deals with countable data such as tally scores and test questions answered correctly. B. In ANOVA, we can determine the differences among several means at the same time. a. A is True, B is False b. A is False, B is True c. A and B are True d. A and B are False
5. Generally, two types of data may be collected from sampling at an inspection point. These two types of data are A. constant and conditional data. B. variable and conditional data. C. constant and attribute data. D. variable and attribute data Mark for review Will be highlighted on the review page) Nest Questio
43. You have been hired by the Department of Health and Human Services to analyze the qualifications of social workers in your state. Your boss thinks that social workers in one part of the state are underqualified to serve the needs of the community where they work. You know from state data that the average social worker statewide has 10.2 years of experience. You then conducted a study by gathering a random sample of social workers from the region of concern. Your sample consisted of 203 randomly selected social workers, who had an average of 8.7 years of experience, with a standard deviation of 0.52 years. Based on your data, can you conclude that social workers from the region of concern have significantly less experience than workers statewide?
A reporter writing for a national newspaper claimed that representatives of school districts were falsely reporting their students’ performance on standardized tests. Over 90% of the nation’s school districts report that their students are performing above the national average, and the reporter claimed that isn’t possible. It is possible. a) Provide a list of 10 numbers for which 90% are above the mean. b) What can you infer about the nation’s school districts if 90% of them really are performing above the national average?
33. Researchers do not want to make a Type II error, because if their study has an effect, they want to be able to find it. Thus, they make their studies as powerful as they can. Of the following, the best way to increase the power of a study is to: a. raise the significance level used for the study. b. test a large sample. c. use inferential statistics. d. compute fewer statistical analyses. 34. By definition, mixed-methods research designs: a. include a number of quantitative measures of student performance. b. include both descriptive and inferential statistics in the analysis. c. include both relationship questions and difference questions in the same study. d. include both quantitative and qualitative data.
5. Researchers are investigating household-income level and whether the family owns their home or rents, in a particular city. They will consider the proportion of high-income households who own their home and the proportion of low-income households who own. They want to check whether the two categorical variables (income level and home-own-v.-rent) are related. Test at the 0.01 significance level.Table of number of households in each sub-category. Data Own Rent high-income 47 50 low-income 34 44 a) Identify the correct alternative hypothesis for this test. Household income level and home-ownership-v.-renting are independent. There is a relationship between household income level and home-ownership-v.-renting. There is no relationship between household income level and home-ownership-v.-renting. Household income level varies much more than home-ownership-v.-renting proportions. b) The χ2χ2test statistic value is: c) The P-value is: d) Based on this, we Reject H0H0 Do…

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. Define null and alternate hypo 2.statealpha 3.Degreeoffreedom 4.decisionrule 5.test statistic 6.state the results 7.state conclusion