Part One: Suppose that a device advertised to increase a car's gas mileage works. We test it at a=0.05 significance level on a small fleet of cars (with Ho: The device works), and our data results in a P-value of 0.004. What probably happens as a result of our hypothesis test? a) We fail to reject Ho, committing a Type II error b) We reject Ho, making a Type I error. c) We correctly reject Ho. d) We reject Ho, making a Type II error. e) We correctly fail to reject Ho. Part two: We have calculated a one-proportion z-confidence interval based on a sample of size n = 100. Now at the same confidence level we want to get a less precise estimate with a larger margin of error Our new sample needs to be of size: a) larger than 100 b) Smaller than 100 c) Equal to 100

Part One: Suppose that a device advertised to increase a car's gas mileage works. We test it at a=0.05 significance level on a small fleet of cars (with Ho: The device works), and our data results in a P-value of 0.004. What probably happens as a result of our hypothesis test? a) We fail to reject Ho, committing a Type II error b) We reject Ho, making a Type I error. c) We correctly reject Ho. d) We reject Ho, making a Type II error. e) We correctly fail to reject Ho. Part two: We have calculated a one-proportion z-confidence interval based on a sample of size n = 100. Now at the same confidence level we want to get a less precise estimate with a larger margin of error Our new sample needs to be of size: a) larger than 100 b) Smaller than 100 c) Equal to 100

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Description: 17.Part One:Suppose that a device advertised to increase a car's gas mileage works. We test it at a=0.05 significancelevel on a small fleet of cars (with Ho: The device works), and our data results in a P-value of 0.004. Whatprobably happens as a re

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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4. You set up a two-sided hypothesis test for a population mean u with a null hypothesis of Ho : u = 100. You chose a significance 0.05. The p-value calculated from the data is 0.12, and hence you failed to reject the null hypothesis. Suppose that after your analysis was completed and published, an expert informed you that the true value of u is 104. How would you describe the result level of a of your analysis? A Type 1 error was made because you failed to reject the null hypothesis but u is really not equal to 100. A Type 2 error was made because you failed to reject the null hypothesis but u is really not equal to 100. You did not make a Type 1 or Type 2 error.
#2.9 Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2026 passenger cars in a particular region, 218 had only rear license plates. Among 346 commercial trucks, 50 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.05 significance level to test that hypothesis.Test the claim using a hypothesis test. Identify the null and alternative hypotheses for this test. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate. Identify the test statistic. State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.
1. The incidence of cancer among phosphate mine workers and their exposure to radiation was investigated. Cancer incidence was recorded among 60 phosphate mine workers who had 0-29 working level months (WLM) of exposure, 60 phosphate mine workers who had 30-89 WLM of exposure, and 60 phosphate mine workers who had 90-120 WLM of exposure. The number of cancer incidences for each group are presented in Table 1. Table 1: Two-way Table of Counts Cancer Incidence Exposure Level Yes No Total 0-29 WLM 20 40 60 30-89 WLM 33 27 60 90-120 WLM 43 17 60 Total 96 84 180 Perform a x? test, at the 5% level of significance, whether cancer incidence rates differ between the three levels of radiation among phosphate mine workers.
A Chi square test has been conducted to assess the relationship between marital status and church attendance. The obtained Chi square is 7.45 and the critical Chi square is 9.488. What may be concluded? Group of answer choices A.reject the null hypothesis, church attendance and marital status are independent B.fail to reject the null hypothesis, church attendance and marital status are independent C.Reject the null hypothesis, church attendance and marital status are dependent D.fail to reject the null hypothesis, church attendance and marital status are dependent
A phone company plans on offering their new smartphone in four colours: white, black, silver and rose gold. They anticipate that 30% of shoppers will prefer white, 35% will prefer black, 20% will prefer silver and 15% will prefer rose gold. They perform market research by asking a random sample of 350 potential customers which colour they prefer. Colour Frequency White 104 Chi Square ribution Table Black 127 SAMSUNG Can the company conclude that their expected distribution was accurate using a 1% level of significance? Silver 89 SUBMIT QUESTION Rose Gold ВО SAVE PROGRESS SUBMIT ASSIGNMENT 10:16 A
Let population 1 represent teenagers. Let population 2 represent young adults. A person collected two independent, random samples to test if the average teenager get enough sleep per week is more than the average number of sleep that a young adult gets per week. The following hypotheses were used: Ho:μ1 = μ2 Ha: μ1> μ2 The hypothesis test will completed the using significant level .05. Random samples, one from each population, were selected. The resulting study produced a p-value = .265. 1.) What conclusion should the person draw in regard to the study between teenagers and young adults. Sum up your results. 2.) A p-value= .265 would be considered a.) High significant b.) Not significant c.) Little information to tell.
State the Result: A hypothesis test was conducted at the alpha = 0.01 level of significance. The test resulted in a p-value of 0.044.
Identify the type I error and the type Il error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.17. Which of the following is a type I error? O A. Reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually 0.17. O B. Fail to reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually 0.17. O C. Reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually different from 0.17. O D. Fail to reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually different from 0.17. Which of the following is a type Il error? O A. Fail to reject the claim that the proportion of people who write with their left hand is 0.17 when the proportion is actually different from 0.17. OB. Reject the claim that the…
3. For a z-test we get a test statistic of z=2.05. If our alternative hypothesis is "??:?>13Ha:μ>13", what Excel command would we use to compute the P-value? If our alternative hypothesis is "??:?<13Ha:μ<13", what Excel command would se use to compute the P-value?
0 My colleagues are studying the morphology of Adelie penguin, specifically their flipper length. They are testing Hu=185 mm. If they reject Ho, what type of hypothesis testing error could they have made Define this type of error in a sentence. Oa. They could have made a type I (alpha) error. A type I error is when we fail to reject a false HO Ob. They could have made a type II (beta) error. A type II error is when we fail to reject a false HO c. They could have made a type I (alpha) error. A type I error is when we reject a true HO. Od. They could have made a type II (beta) error. A type II error is when we reject a true HO.
Identify the type I error and the type Il error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.27. Which of the following is a type I error? A. Reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually 0.27. B. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually 0.27. C. Reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27. D. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27. Which of the following is a type II error? A. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27. B. Reject the claim that the proportion of…