Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 54 U.S. cities is 0.037 microgram per cubic meter and the standard deviation is 0.069 microgram per cubic meter. At a = 0.05, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Identify the claim and state Ho and Ha. Họ: Ha: (Type integers or decimals. Do not round.) The claim is the V hypothesis.
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(a) Identify the claim and state H0 and Ha.
(b) Use technology to find the critical value(s) and identify the rejection region(s).
(c) Find the standardized test statistic, t.
(d) Decide whether to reject or fail to reject the null hypothesis.
(e) Interpret the decision in the context of the original claim.
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- A sample of 1100 computer chips revealed that 67 % of the chips fail in the first 1000 hours of their use. The company's promotional literature states that 70% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is different from the stated percentage. Make the decision to reject or fail to reject the null hypothesis at the 0.10 level. Answer O Reject Null Hypothesis ○ Fail to Reject Null Hypothesis Tables Keypad Keyboard ShortcutsTest the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2060 passenger cars in a particular region, 229 had only rear license plates. Among 363 commercial trucks, 52 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 0.10 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. a. 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. O A. Ho: P1 = P2 H1: P, # P2 O B. Ho: P1 P2 O D. Ho: P1 = P2 H1: P1Assume a type I error has been committed. Given the weakness of the independent t-test, what is one possible explanation for the error?Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2082 passenger cars in a particular region, 224 had only rear license plates. Among 346 commercial trucks, 47 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 0.01 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. a. 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. O A. Ho: P₁ = P2 H₁: P₁ P2 O B. Ho: P₁Which of the following is the value necessary for rejection (or nonacceptance) of the null hypothesis? 1. The critical value 2. The obtained value 3. Type I error 4. Type II errorWhen the independent variable truly does alter the dependent variable scores (there is a significant effect), and our calculated test statistic does not exceed the critical cutoff value, we retain the null hypothesis when we should reject it. This kind of result is called? a.) a type 2 error b.) a type 1 error c.) a valid result d.) a large effect sizeThe final step in hypothesis testing is to ______. Group of answer choices determine the critical value compare the obtained value with the critical value and make a final determination provide a statement of the null hypothesis compute the test statistic value(d) Decide whether to reject or fail to reject the null hypothesis. O A. Fail to reject H, because the test statistic is in the rejection region(s). O B. Reject H, because the test statistic is not in the rejection region(s). O C. Fail to reject Ho because the test statistic is not in the rejection region(s). D. Reject Ho because the test statistic is in the rejection region(s). (e) Interpret the decision in the context of the original claim. A. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is $24,000. B. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is $24,000. C. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is not $24,000. O D. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $24,000.(a) Identify the claim and state H0 and Ha. (b) Let p1 represent the population proportion for the South, and p2 represent the population proportion for the Northeast. State H0 and Ha. (c)Find the critical value(s) and identify the rejection region(s). (d)Find the standardized test statistic. (e)Decide whether to reject or fail to reject the null hypothesis. I(f)nterpret the decision in the context of the original claim.Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2156 passenger cars in a particular region, 240 had only rear license plates. Among 387 commercial trucks, 55 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 0.01 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. O D. Ho: P1 = P2 H1: P1 # P2 Identify the test statistic. - 1.75 (Round to two decimal places as needed.) Identify the P-value. 0.040 (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. A. Fail to reject…Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2142 passenger cars in a particular region, 233 had only rear license plates. Among 311 commercial trucks, 43 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 0.10 significance level to test that hypothesis. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. a. 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. OA. Ho: P1 P2 H₁: P₁ P2 B. Ho: P₁ = P2 H₁: P₁ P₂ OC. Ho: P1 P₂ H₁: P₁ = P₂ D. Ho:…Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2138 passenger cars in a particular region, 238 had only rear license plates. Among 342 commercial trucks, 47 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. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. ..... a. 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. A. Ho:P1 = P2 H1: P1 P2 O C. Ho: P1 = P2 H1: P1 # P2 D. Ho: P1SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. 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