The mean age of principals in a local school district is 50.7 years. If a hypothesis test is performed, how should a decision that rejects the null hypothesis beinterpreted?OA. There is not sufficient evidence to reject the claim μ-50.7.OB. There is sufficient evidence to support the claim = 50.7.OC. There is not sufficient evidence to support the claim u 50.7.D. There is sufficient evidence to reject the claim = 50.7.nyat (

Given that Population mean = µ = 50.7

Answered: The mean age of principals in a local…

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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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 2063 passenger cars in a particular region, 230 had only rear license plates. Among 320 commercial trucks, 44 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. F2 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
The CEO of a popular company claims that the mean response time for customer service calls is 9 minutes. A group of recent customers believes that the mean response time is actually slower than that, meaning it takes more than 9 minutes. The customers wish to conduct a hypothesis test at the a = 0.05 level of significance to determine if their claim that it is slower is correct. Which would be correct hypotheses for such a test? Ho:u = 9, Hị: µ > 9 Ho:4 + 9, Hị: µ = 9 %3D OHo:H < 9, Hị :H = 9 ΘΗ :μ = 9, Η :μ <9 ΘΗ:μ = 9, Η :μέ9 What does the P-value measure? O The power of mind of the statistician who performed the statistical experiment O The probability that the alternate hypothesis is true The probability that the results of a statistical experiment are due only to chance O The probability that the results of an statistical experiment are due to something more significant than chance If the resulting P-value is 0.065, which would be the appropriate conclusion? There is significant…
Identify the conclusion for this hypothesis test. O A. Fail to reject Hn. There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. B. Fail to reject Ho- There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. C. Reject Hg. There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. O D. Reject Ho. There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea.
Consider an insurance portfolio that consists of two homogeneous groups of clients. Let N₂, (i=1.2) be the number of claims occurred in the ith group. Suppose that N₁ and N₂ are independent and both follow a Poisson distribution. Assume E {N₁} = 300 and E {N₂} = 700. The size of each individual claim from the first group is 10 (units of money) with probability 0.6, and 20 (units of money) with probability 0.4, The size of each individual claim from the second group is 20 (units of money) with probability 0.3, and 30 (units of money) with probability 0.7. Let N be the total number of claims, and let S be the total aggregate claim. Answer the questions 9-17. Q9 What is the distribution of N? Poisson Q10 Gamma Uniform O Normal Exponential What in the mean and variance of N? 300 and 300 O 1,000 and 1,000 O 700 and 700 23,100 and 23,100
Using the information obtained from a study on heart rate, the following data were obtained for the hypothesis test: • A doctor is testing the claim that the average heart rate of patients is less than 70 bpm. • Assume the significance level is a = 0.05. • The z- test statistic is calculated as -2.01. What is the p-value and conclusion for this hypothesis test? Move the blue dot to choose the appropriate test (left-, right, or two-tailed). Use the graph below to move the slider to he test statistic in order to find the p-value. Then, make a conclusion based on those results.
A different random sample with 220 in-person voters was collected, and the value of the test statistic based on this sample was -2.57. What is the appropriate conclusion to the hypothesis test at an a = 0.01 level ? O a. Fail to reject H0. There is sufficient evidence to conclude that the proportion of all in-person voters who waited in line for more than two hours has now fallen below 0.23. O b. Fail to reject H0. There is not sufficient evidence to conclude that the proportion of all in-person voters who waited in line for more than two hours has now fallen below 0.23. O c. Reject HO. There is sufficient evidence to conclude that the proportion of all in-person voters who waited in line for more than two hours has now fallen below 0.23. O d. Reject H0. There is sufficient evidence to conclude that the state government's new streamlined voting scheme reduced the number of in-person voters who waited in line for more than two hours below 0.23. O e. Reject HO. There is sufficient…
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 2063 passenger cars in a particular region, 230 had only rear license plates. Among 320 commercial trucks, 44 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. OA. Ho: P₁ P2 H₁: P₁ = P₂ X 淋 OB. Ho: P₁ P2 H₁: P₁ P2 OC. Ho: P₁ P₂ H₁: Pg #P₂ w…
More than 59% of adults would erase all their personal information. The hypothesis test results in a p value of .0241. State a conclusion about the null hypothesis. Without using technical terms state a final conclusion
Women athletes at a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 38 women athletes at the school showed that 21 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67% ? Use a 1% level of significance. USE SALT (a) What is the level of significance? (b) State the null and alternate hypotheses. O Ho: P = 0.67; H₁: p 0.67 O Ho: P 5 and ng > 5. O The Student's t, since np 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) _ Sketch the sampling distribution and show the area corresponding to the P-value. -2 -1 0 1 2 300-3 -2 -1 0 1 2 3 @0-3 -2 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At…
Previously, 4% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 4% today. She randomly selects 135 pregnant mothers and finds that 4 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the a= 0.1 level of significance. What are the null and alternative hypotheses? Họ: P = 0.04 versus H,: p < 0.04 (Type integers or decimals. Do not round.) Because npo (1- Po) =U (Round to one decimal place as needed.) 10, the normal model be used to approximate the P-value.

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