For each of the following settings, define the parameter of interest and write the appropriate null and alternative hypotheses for the test that is described. Scenario 2: According to the Galactic Empire’s study, 0.5% of the people in the galaxy are Jedi. You are interested in determining if the proportion of the Jedi on the planet Tatooine is different than the galaxy’s proportion.
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For each of the following settings, define the parameter of interest and write the appropriate null and alternative hypotheses for the test that is described.
- Scenario 2: According to the Galactic Empire’s study, 0.5% of the people in the galaxy are Jedi. You are interested in determining if the proportion of the Jedi on the planet Tatooine is different than the galaxy’s proportion.
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- For each of the following settings, define the parameter of interest and write the appropriate null and alternative hypotheses for the test that is described. Scenario 1: In an avocado, the average seed diameter is 1 inch. However, you are an avocado expert and you believe that the average seed diameter is increasing recently.For the situation described below, state the null and alternative hypotheses to be tested. (Enter != for ≠ as needed.) A new variety of pearl millet is expected to provide an increased yield over the variety presently in use, which has a mean yield of about 55 bushels per acre.Question 1 For the following scenarios provide the following: • the null and alternative hypotheses • explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed, • explain how you should interpret a decision that rejects the null hypothesis, and • explain how you should interpret a decision that fails to reject the null hypothesis. a. A meal supplement provider claims that the average difference in calories between two brands is 55.
- Given two estimators X1 and X2 for a population mean, E[X1] = 6, V[X1] = 4, and V[X2] = 5. If the true value of the population mean is 5, which of the following is(are) TRUE? A. X1 is an unbiased estimator.B. X2 is less precise than X1.For Questions 1 and 2, you will read an operational hypothesis. Identify the independent variable (IV), dependent variable (DV), and unit of analysis (UA). For each variable (IV and DV), indicate the appropriate level of measurement. There is a relationship between political affiliation (on a scale of 1 to 10, where 1 = very liberal and 10 = very conservative) and U.S. geographic regions, such that people living in the Northeast are more likely to consider themselves liberal than people living in the South. IV: DV: UA: Level of Measurement (IV): Level of Measurement (DV):For the following setting, (a) describe the parameter of interest, and (b) state the appropriate hypotheses for a significance test. As part of its 2010 census marketing campaign, the U.S. Census Bureau advertised “10 questions, 10 minutes – that’s all it takes.” On the census form itself, we read, “The US Census Bureau estimates that, for the average household, this form will take about 10 minutes to complete, including the time for reviewing the instructions and answers.” We suspect that the actual time it takes to complete the form may be longer than advertised.
- For each of the following situations, identify whether the appropriate test is a paired t-test (for parameter µd) or a two-sample t-test (for parameter µ1 - µ2). Briefly explain your answer. Sixty students were matched by initial pulse rate, with the two with the highest pulse forming a pair, and so on. Within each pair, one student was randomly chosen to drink a caffeinated beverage, while the other one drank an equivalent amount of water. Their pulse rates were measured 10 minutes later, to test whether caffeine consumption elevates pulse rates. To determine whether lack of sleep increases appetite, researchers recruited 50 volunteers and randomly assigned 25 of them to sleep at least 8 hours a night and the other 25 to sleep at most 5 hours a night, for 3 days. Calorie intake was recorded for all 50 volunteers for the 3-day period.For each of the following investigations, state i) null hypothesis, ii) alternative hypothesis and iii) type of test, two sided/one sided. a) You wish to investigate if income from tobacco farming is greater than that of from tea farming in Malawi. b) You want to compare proportion of army worms killed by Doom those killed by Attack pesticide.For each of the following settings, define the parameter of interest and write the appropriate null and alternative hypotheses for the test that is described. Consider the scenario ai from the previous question. Suppose you take an SRS of 50 avocados and find that the mean is 1.1 inches, which yields a p-value of 0.0542. Interpret the P-value in the context of the problem. What conclusion would you draw at the =0.05 level? At the =0.10 level?
- If the results of the test with the following hypotheses are statistically significant, we have found evidence that: Hypotheses: h0: u1 = u2 ha: u1>u2 A: X<x2 B: x1 is not equal to x2 c: u1>u2 D: u1=u2 E: x1>x2 F: u1<u2See the attached image for the introduction. In terms of variables xi and parameters βi, write the null and alternative hypotheses for testing whether, after including Price/Square Feet(x2) in the model already, the further incorporation of the other 2 explanatory variables (x1, x3) adds any useful information for explaining pricey. Also, give the value of the F statistic and its degrees of freedom (df).Question 1 For the following scenarios provide the following: the null and alternative hypotheses explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed, explain how you should interpret a decision that rejects the null hypothesis, and explain how you should interpret a decision that fails to reject the null hypothesis. A Don Anderson Poll reports that on average 70% of Jamaicans believe that electricity bills are too high. Sunshine Cooperation guarantees that the mean shelf life of cornflakes is at least 750 days. Consumer Affairs has advised that the standard deviation of the fuel economies of its Honda Civics for 2016 is no more than 10.7 miles per gallon. A meal supplement provider claims that the average difference in calories between two brands is 55.