Hercule and Jane are in a dispute over the average amount of time it will take to finish a case. The hypotheses are Ho: H = 15 days vs. Ha: µ< 15 days. To test the hypotheses, they each collect a different sample. Hercule, based on his sample, rejects the null hypothesis. Jane, based on her sample, fails to reject the null hypothesis. It turns out that the true average case length is 13 days. Which of the following is correct? A. Hercule committed no error, while Jane committed a Type Il error. B. Hercule committed a Type I error, while Jane committed no error. C. Hercule committed no error, while Jane committed a Type I error. D. More information is needed to determine which error types have occurred. E. Hercule committed a Type Il error, while Jane committed no error.

Hercule and Jane are in a dispute over the average amount of time it will take to finish a case. The hypotheses are Ho: H = 15 days vs. Ha: µ< 15 days. To test the hypotheses, they each collect a different sample. Hercule, based on his sample, rejects the null hypothesis. Jane, based on her sample, fails to reject the null hypothesis. It turns out that the true average case length is 13 days. Which of the following is correct? A. Hercule committed no error, while Jane committed a Type Il error. B. Hercule committed a Type I error, while Jane committed no error. C. Hercule committed no error, while Jane committed a Type I error. D. More information is needed to determine which error types have occurred. E. Hercule committed a Type Il error, while Jane committed no error.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The national average SAT score is roughly 1500. We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from. H0: μ = 1500; HA: μ ≠ 1500 H0: p = 1500; HA: p > 1500 H0: μ Duke= μ National; HA: μ Duke> μ National H0: x = 1500; HA: x > 1500 H0: μ = 1500; HA: μ > 1500
Edllon. J2 THiles per gallon when it is QUESTION 7 Find the P-value for the indicated hypothesis test. In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 119%. 0.2843 -0.2843 0.2157 O 0.5686 QUESTION 8 for the indicated hypothesis test. fathers take no responsibility for
When conducting a hypothesis test, what would it mean if the researcher obtains a negative test statistic? The sample is too small. It’s very unlikely the results would have occurred just by chance alone. The sample statistic is smaller than the claimed population parameter. A mistake was made in terms of calculating the test statistic. The sample statistic is larger than the claimed population parameter.
Some people say that more babies are born in September than in any other month. To test this claim, you take a random sample of 150 students at your school and find that 21 of them were born in September. You are interested in whether the proportion born in September is greater than 1/12-what you would expect if September was no different from any other month. Thus, the null hypothesis is Ho: p=1/12 . The P-value for your test is 0.0056. Which of the following statements correctly interprets the P-value? Assuming that the proportion of babies born in September is greater than any other month, there is a 0.0056 probability of getting a sample proportion of 21/150 or greater by chance alone. Assuming that the proportion of babies born in September is the same as any other month, there is a 0.0056 probability of getting a sample proportion of 21/150 or greater by chance alone. The probability that the proportion of September birthdays is not equal to 1/12 is 0.0056. The probability that…
with written work
Historically it is known thatp = 36.3% of the population have a specified characteristic. A random sample of size n=500 is taken, and x=167 number of the population has the specified characteristic. Determine the value of the test statistic for the hypothesis test of one proportion with null hypothesis Ho: p = 36.3%. Enter your answer to two decimal places.
You have determined that in the past three years there 7 of the 14 were hand injuries. Previous projections had indicated that under normal conditions, only four hand injuries were expected and 12 other injuries were expected. The remaining injuries were due to other causes. Calculate the chi-square value and discuss whether there was a significant difference in observed data vs. the expected data. Also discuss how the process of hypothesis testing might prove helpful o = 7 hand injuries and 7 other injuriese = 4 expected hand injuries and 12 other injuries
the national average SAT score is roughly 1500. We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from. H0: μ = 1500; HA: μ ≠ 1500 H0: p = 1500; HA: p > 1500 H0: x = 1500; HA: x > 1500 H0: μ Duke= μ National; HA: μ Duke> μ National H0: μ = 1500; HA: μ > 1500
16% of all Americans suffer from sleep apnea. A researcher suspects that a lower percentage of those who live in the inner city have sleep apnea. Of the 398 people from the inner city surveyed, 52 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.01? For this study, we should use Z TEST FOR A POPULATION PROPORTION The null and alternative hypotheses would be: Ho: P=0.15 (please enter a decimal) H1: P <0.1 3. The test statistic _z__ = _______ (please show your answer to 3 decimal places.) 4. The p-value = __0.0144__ (Please show your answer to 4 decimal places.) 5. The p-value is __<__α 6. Based on this, we should ___FAIL TO REJECT___ the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly smaller than 16% at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is…
Please answer question 3.
None
You may need to use the appropriate technology to answer this question. Test the following hypotheses by using the x? goodness of fit test. Ho: PA = 0.40, PR = 0.40, and p. = 0.20 H: The population proportions are not pa = 0.40, PR = 0.40, and P. = 0.20. A sample of size 200 yielded 20 in category A, 60 in category B, and 120 in category C. Use a = 0.01 and test to see whether the proportions are as stated in Ho: (a) Use the p-value approach. Find the value of the test statistic. 35 Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject H,. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20. O Reject H,. We conclude that the proportions are equal to 0.40, 0.40, and 0.20. O Reject H. We conclude that the proportions differ from 0.40, 0.40, and 0.20. O Do not reject H. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20. (b) Repeat the test using the critical value approach. Find the value…