9. Suppose that N = 47. What is the critical value of r needed to reject a one-tailed hypothesis with an alpha level = .05? .2875 .4227 .3598 .2428
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- 8.3.12. Let Y₁ < Y₂ << Y5 be the order statistics of a random sample of size n = 5 from a distribution with pdf f(x; 0) = //e-1-0, -∞ < x <∞, for all real 0. Find the likelihood ratio test A for testing Ho: 0 = 0o against H₁ : 000. 8.3.13. A random sample X₁, X2,..., Xn arises from a distribution given by zero elsewhere, or Ho: f(x; 0): = 1 0' 1 = -x/0 0 < x < 0, H₁: f(x; 0) = 0Suppose there is a claim that a certain population has a mean, µ, that is equal to 9. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis H, and the alternative hypothesis H, as follows. Ho: µ=9 H: µ±9 Suppose you also know the following information. The critical values are -1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is -1.225 (rounded to 3 decimal places). (a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03- Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1+ Step 3: Enter the test statistic. (Round to 3 decimal places.) (b) Based on your answer to part (a), choose the correct statement. O The value of the test statistic lies…8.3.12. Let Y₁B) In a sample of n = 50 people who recently received parking tickets, 36 were older than 25 years and the other 14 were age 25 or younger. Is the age distribution for this sample significantly different from the distribution for the population of licensed drivers? Use a = .05. 1. State the alternative hypothesis and null hypothesis 2. Calculate the degrees of freedom (df) for chi-square. 3. Using an a = .05, what is the critical value for chi-square (xcrit)? 4. Calculate chi-square (x²) and provide a statement with words about your decision 5. Write a sentence demonstrating how the results from the hypothesis test would appear in a research report. %3D ke the7. To compare the gas mileage of 2 cars, you conduct 50 mileage tests on each of the 2 different cars. At α = 0.10, can you support the claim that car 1 gets better gas mileage than car 2. Data Car 1: µ = 28.3, s1 = 3.2 Car 2: µ = 28.7, s1 = 2.6 If the Z score = -.685, do you Reject or fail to reject Ho? Group of answer choices No answer text provided. Fail to Reject Ho No answer text provided. Reject Ho7.On average, what value is expected for the t statistic when the null hypothesis is true? а. О с. 1.96 b. 1 d. t>1.96Researchers investigated the propensity of patients in emergency rooms to be prescribed pain medication. The dataset for this study included the discharge notes of over 4000 patients attending a hospital emergency room between 2014 and 2019. Choshen-hillel, S., Sadras, I., Gordon-hecker, T., Genzer, S., Rekhtman, D., & Caruso, E. M. (2022). Physicians prescribe fewer analgesics during night shifts than day shifts. Proceedings of the National Academy of Sciences, 119(27), e2200047119. Two of the variables collected are described below: Shift Type The type of shift the attending physician was working at the time the patient was seen. - Day shift (8 or 15 hour shift starting at 8am) - Night shift (12 or 16 hour shift starting at 8pm) Prescription Whether or not pain medication was prescribed - Prescribed - Not prescribed The data collected on these two variables is displayed in the two-way table of counts below: Shift type Not-prescribed Total 1644 2893 831 1264 2475 4157 Table 1: A…25. You calculated the t statistic in a related-samples t test and found it to be -1.22, and you also knew -2.16 as the critical value of this t test, what should be your decision? Group of answer choices Cannot decide without more information. Accept the null hypothesis and reject the alternative hypothesis. Do not reject the null hypothesis. Reject the null hypothesis and accept the alternative hypothesis.2. Find the critical value of z for a hypothesis test if α = 0.025 for a right tail test. 2.575 1.645 2.33 1.28 correct answer is not given2. A new insecticide is advertised to kill more than 95% roaches upon contact. In a laboratory test, the insecticide was applied to 400 roaches and 384 died immediately after contact. Is this sufficient evidence to support the advertised claim? Use α=0.05. (d) Conclusion for the problem above is Do not reject the null hypothesis and new insecticide does not kill more than 95% of roaches upon contact. O Reject the null hypothesis and new insecticide kills more than 95% of roaches upon contact. Reject the null hypothesis and new insecticide does not kill more than 95% of roaches upon contact. Do not reject the null hypothesis and new insecticide kills more than 95% of roaches upon contact.A hypothesis test is conducted with H0:μ=41H0:μ=41 and H1:μ<41H1:μ<41. A simple random sample of size n=43n=43 is drawn, with ¯x=31x¯=31, and s=16s=16. Determine the P-value. (Round to four decimals places.)A new insecticide is advertised to kill more than 95% roaches upon contact. In a laboratory test, the insecticide was applied to 400 roaches and 384 died immediately after contact. Is this sufficient evidence to support the advertised claim? Use α{=0.05. (d) Conclusion for the problem above isSEE 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. 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