What are the hypotheses for evaluating whether there is any difference in the performance of the treatments? SELECT THE TWO THAT WORK HERE.
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- You may need to use the appropriate appendix table or technology to answer this question. A consumer research group is interested in testing an automobile manufacturer's claim that a new economy model will travel at least 25 miles per gallon of gasoline (H,: µ 2 25). (a) With a 0.02 level of significance and a sample of 40 cars, what is the rejection rule based on the value of x for the test to determine whether the manufacturer's claim should be rejected? Assume that o is 4 miles per gallon. State the critical values for the rejection rule. (Round your answer to four decimal places. If the test is one-tailed, enter NONE for the unused tail.) x 2 (b) What is the probability of committing a type II error if the actual mileage is 23 miles per gallon? (Round your answer to four decimal places. If it is not possible to commit a type II error enter NOT POSSIBLE.) (c) What is the probability of committing a type II error if the actual mileage is 24 miles per gallon? (Round your answer to…You may need to use the appropriate appendix table or technology to answer this question. An agency reports that 11.5% of workers in a particular country belonged to unions. Suppose a sample of 300 workers is collected to determine whether union efforts to organize have increased union membership. (a) Formulate the hypotheses that can be used to determine whether union membership has increased. H0: p = 0.115 Ha: p ≠ 0.115 H0: p > 0.115 Ha: p ≤ 0.115 H0: p ≤ 0.115 Ha: p > 0.115 H0: p ≥ 0.115 Ha: p < 0.115 H0: p < 0.115 Ha: p ≥ 0.115 (b) If the sample results show that 36 of the workers belonged to unions, what is the p-value for your hypothesis test? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At ? = 0.05, what is your conclusion? Do not reject H0. There is insufficient evidence to conclude that there has been an increase in union…Why is the empirical rule useful?
- The two approaches for testing hypotheses are: Select one: a. one-tailed and two-tailed b. p-value and critical value c. null and alternative d. Type I and Type IIIs there a difference between men and women when it comes to seeking preventative healthcare? At the a = 0.01 level of significance, test the claim that the proportion of those who have had a wellness visit with their physician in the past year is the same for men and women. Let pp represent the proportion of females who have had a wellness visit with their physician in the past year and pM represent the proportion of males who have done the same. Which would be correct hypotheses for this test? O Ho:PF = PM, H1:PF > PM O Ho:PF + PM, H1:PF > PM O Ho:PF = pM, H1:pF < pM O Ho:PF = PM, H1:PF # PM In a random sample of 331 females, 306 have had a wellness visit with their physician in the past year. In a random sample of 272 males, 237 have had a wellness visit with their physician in the past year. Find the test statistic (2 decimal places): Give the P-value (4 decimal places - if less than 0.001 answer 0): Which is the correct result: O Reject the Null Hypothesis O Do not Reject the Null…In a certain jurisdiction, all students in Grade Three are required to take a standardized test to evaluate their math comprehension skills.The file contains these data resulting from a random sample of n=30 schools within this jurisdiction. From these data you wish to estimate the model Yi=β0+β1Xi+ei where Xi is the percentage of Grade Three students in School i who live below the poverty line and Yi is the average mathematics comprehension score for all Grade Three students in the same school, School i. The observed data for the X variable is labled perbelowpoverty and the observed data for the Y variable is labeled mathscore in the file.Import (either hand type or load the file) data into R Studio, then answer the following questions based on the data.(a) Create a scatterplot of the data. What can you say about the nature of the relationship between the percentage of Grade Three students living below the poverty line in a certain school and the school's average Grade Three…
- Please send me the question in 30 minutes it's very urgent plz4. A pharmaceutical company wants to test whether the incidence of side effects (i.e. adverse events)differs between the treatment and placebo groups at theα= 0.05. Letp1= the proportion of subjects in the treatment groups who experienced at least one adverse event and letp2= the proportion of subjects in the placebo group who experience at least one adverse event. 8 out of 30 people in the treatment group experienced at least one adverse event and 5 out of 30 people in the placebo group experienced at least one adverse event. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in the context of the problem) (b) Calculate the test statistic (c) Calculate the critical value (d) Draw a picture of the distribution of the test statistic under H0. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at theα= 0.05 level and state your conclusions in…You are interested in understanding the impact of Student Teacher Ratios (STR) on Test Scores (i.e., STR is your variable of interest and Test Scores are your outcome variable). Let’s pretend you have 2 models and you must only pick 1. The models along with mock results are in the table below. The coefficients are presented with standard errors in parenthesis. Further assume that the STR coefficient in Model 1 is less biased than the STR coefficient in Model 2. But as you can see, the STR coefficient in Model 2 is more precisely estimated (it’s statistically significant) than the coefficient in Model 1. Which model (Model 1 or Model 2) do you prefer and why. X1 and X2 are different control variables. You do not need to know what they are in order to answer this question – you only need to know that they are different. Y = Test Scores Model 1 Model 2 STR -1.4 (0.9) -3.7** (0.9) X1 5.6** (2.2) X2 4.6** (2.1) Constant 680*** (45)…
- Let Factor A have three levels and Factor B have five levels. If the interaction between A and B is significant, what is the value of ? for the q-curve if we are performing Tukey’s multiple-comparison procedure to determine which treatment means are different?Independent studies show that 26 out of 40 r/s full-time students favor a shorter semester system, while 38 out of 50 r/s part-time students favor the same. Construct a 98% c.i. for the difference between the overall percentage of full-time students favoring a shorter semester system and that of part-time students.You wish to test whether a particular drug manages to bring body temperature down. So, you conduct a pilot study where 47 people receive the drug, and 45 people receive a placebo. The body temperatures of patients from the treatment group are group 1 (variable X1); those from the placebo group are group 2 (variable X2). What is the research hypothesis? mu1 > mu2 mu1 ≠ mu2 mu1 < mu2 mu1 = mu2