Pfizer claims that their COVID-19 vaccine is 95% effective. Suppose that in a clinical trial test, 960 out of 1000 subjects have received protection from the virus. Test the claim using two-tailed test at 0.01 level. (Disregard the continuity correction in your solution.)
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a) state the null and alternative hypotheses
b) calculate the critical region
c) what is the t value/z value
d) conclusion
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- 1. By applying the least coefficients method (linear regression) to the table values below;a) Draw a straight line.b) Find the y value for x=30.Use the F-Distribution Table to find the Right Tail Critical Value a) a = 0.10, dfy = 5, dfp = 2. Fo = b) a = 0.05, dfN = 6, dfp = 26. F% = c) a = 0.05, dfy = 10, dfp = 21. F %3D d) a 0.025, dfy = 3, dfp = 24. Fo =24 24 - F83) x y 23 ; 88 76 ; 300 27 ; 105 64 ; 240 15 ; 60 51 ; 205 33 ; 120 29 ; 104 When regression analysis is performed according to the given x and y values, what is the y value to be obtained for x =100 in the calculated equation (y = ax + b) A) hiçbiri/none of them B) 305 C) 400,9876 D) 393,9871 E) 385,740
- The following measurements were taken on a sample n= 12 Spruce trees selected at random from å stand. (X= diameter(cm) (at breast height) and'Y= height (m)). The data are tabulated below: 1 2 3 | 4 5 6 7 8 | 9 | 10 | 11 | 12 19.8 18.9 14.1 20.3 tree X (diam) Y (height) Σx- 205.4 , Σy = 211.5, Σ-3796.38, Σν-3895. 19, Σaν = 3817.58 22.0 16.6 19.4 5.8 20.0 10.1 15.5 22.9 22.3 18.8 20.2 18.0 20.0 18.5 17.8 8.0 19.2 12.1 16.8 19.8A manufacturer of car batteries claims that the mean lifetime of their battery is 67 months. Thinking that this claim is inflated, graduate students buy a random sample of 72 car batteries from this manufacturer. How should they proceed? a) Perform a hypothesis test of H0:μ=67 versus Ha:μ>67 b) Perform a hypothesis test of H0:μ=67 versus Ha:μ<67 c) Use Simple linear regressionPlease send me the question in 30 minutes it's very urgent plz
- Suppose we have collected a random sample from our population, denoted by (xi , yi), i = 1, . . . , n. We now fit a least squares line: yˆi = βˆ 0 + βˆ 1xi (i = 1, . . . , n). What additional assumption do we need in order to carry out statistical inference on our least square estimators βˆ 0 and βˆ 1? c. Using the results we’ve derived in class, prove that the sum of residuals is zero (Pn i=1 ei = 0)7) A sample of 85 chewable vitamin tablets have a sample mean of 271 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of vitamin C per tablet exceeds 264 milligrams. State the appropriate null and alternate hypotheses. A) H0: μ 264, Η : μ> 264 C) Ho: µ> 271, H:µ=271 B) H,; µ= 264, H,:µ#264 D) H,: µ271Interpret the generated results at 5% level of significance.
- A large discount department store chain advertises on television (X₁), and on the radio (X₂). A sample of 12 of its stores in the certain area showed expenditures and revenues during a given month. All figures are in thousands of dollars. The dataset is summarised below. Television advertising X'X = X'Y = a) b) c) d) e) 12 115 1191 647 6393 Radio advertising Television & Radio advertising X'X = X'Y = 12 68 410 647 3868 0.109897957 (X'X) = -0.001810563 0.000189003 -0.001625893 -0.00000012663 0.000287136 Y'Y=39973 and b₁ = -10.11045936] 1.956197151 and Σ.Χ.Χ, = 654 7.990629999 Interpret the given slopes. Use the given information to find X'Y for the two independent variables (i.e. Television & Radio advertising). (1) Regardless of the results of the overall regression significance test, test for the significance of the individual predictors using the partial F-test. Based on your findings from c) what is your final model? Based on your final model from d) what will be the matrix of X?In this image I just want the answers for h,I and J. Thanks in advance.2) A researcher is comparing the number of hours of per day high school students spend using their phones. a) State the Hypothesis to show sophomores spend less time per day on their phone than seniors. b) To test the hypothesis, the researcher collects data on 32 seniors and 30 sophomores and records the number of hours per week they spend watching television. The data is below. Use JMP software to test the hypothesis of part a). c) Using alpha = 0.05, draw a conclusion for the hypothesis test. State the conclusion in the context of the problem. Class Hours Seniors 3 Seniors 4 Seniors 4 Seniors 6 Seniors 4 Seniors 5 Seniors 4 Seniors 4 Seniors 5 Seniors 3 Seniors 1 Seniors 4 Seniors 5 Seniors 4 Seniors 5 Seniors 5 Seniors 3 Seniors 6 Seniors 1 Seniors 5 Seniors 5 Seniors 5 Seniors 3 Seniors 5 Seniors 3 Seniors 4 Seniors 6 Seniors 5 Seniors 3 Seniors 4 Seniors 4 Seniors 3 Sophomores 3 Sophomores 3…