Question 2 The results of unit root test are presented in Table 1(a) and (b) below. Briefly explain the hypothesis results. Table 1(a) Null Hypothesis: LNGDP has a unit root Exogenous: Constant Lag Length: 1 (Automatic - based on AIC, maxlag=9) t-Statistic Prob." Augmented Dickey-Fuller test statistic Test critical values: 0.115497 -3.610453 -2.938987 -2.607932 0.9630 1% level 5% level 10% level "MacKinnon (1996) one-sided p-values.
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- question 27 59% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 124 of the 243 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05? The null and alternative hypotheses would be: Ho: p= (please enter a decimal) H1: p< (Please enter a decimal) 2.The test statistic _______ (please show your answer to 3 decimal places.) 3.The p-value = ______ (Please show your answer to 4 decimal places.)Question 1Define the power of a hypothesis test and explain what a power function is.Define each of the following terms relating to estimation and hypothesis testing. (Note: some of them are from chapter 4).a) Unbiased estimatorb) Type I errorc) Type II errorIn which situation cointegration test can be performed? Write down its null Also, refer the given table and interpret the results?
- b) What are the three models proposed as extensions of the GARCH model? Describe their advantages over the GARCH.If a hypothesis makes predictions that are not accurate and do not help explain future observations, do those inaccurate predictions prove the hypothesis is not a good model of reality? On the other hand, if thehypothesis does make accurate predictions, does that accuracy prove the hypothesis is correct?QUESTION 18 In 2003, Major League Baseball took steps to speed up the paly of baseball games in order to maintain fan interest. In a sample of 94 games in 2002, 37 finished in less than 3 hours. A similar survey in 2003 of 78 games found that 42 finished in less than 3 hours. When testing the hypothesis (at the 5% level of significance) a higher percentage of games finished in less than 3 hours in 2003, what is the test statistic? (please round your answer to 2 decimal places)
- Question 4. Use Monte-Carlo simulation to estimate expected amount of time it takes for 2-d Brownian motion to hit the unit circle and give the half-width for a 95% confidence interval (based on the confidence interval formulas in question 3). Take ?=10,000 realizations and use delta=.0001. Code needed in pythonQUESTION 19 To study whether the students at a university are more or less satisfied with the current food service compared to the previous food service, a sample of 90 current students is taken and finds that 37 are satisfied with the current food service. A similar survey was taken for the previous food service in which 89 students surveyed found that 40 were satisfied with the previous food service. When testing the hypothesis (at the 5% level of significance) a higher percentage of students were satisfied with the previous food service than with the current food service, what is the test statistic? (please round your answer to 2 decimal places)A researcher designs an experiment using two drugs, she prepares 15 independent flasks of yeast growth medium and yeast cells. She adds tunicamycin (T) or caffeine (C) to 5 flasks each. Remaining 5 flasks get no drugs (ND). Doubling time of the yeast cells are measured in each flask, data is provided below: Test if mean doubling time is different than others in at least one growth condition (ND, T or C), using a non-parametric method and report an approximate p-value for the level of significance. What is the hypotheses and the assumptions of this test?
- Experimental Methods - Question 32 The particular question is related to Lean Six Sigma Black Belt (MindPro) covering Experimental Methods. Please thoroughly understand the relevant image, and accurately confirm whether the mentioned statement is TRUE or FALSE, by, clearly providing a Justification/Working.If the alleles A and B of the cystic fibrosis gene occur in a population with frequencies p and 1 - p (where pis between 0 and 1), then the frequency of heterozygous carriers (carriers with both alleles) is 2p(l - p). Which value of p gives the largest frequency of heterozygous carriers?A research center claims that more than 29% of employees in a certain country have changed jobs in the past three years. In a random sample of 220 people from that country, 77 have changed jobs in the past three years. At alphaαequals=0.10, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At most nothing% of employees in the country have changed jobs in the past three years. B. More than nothing% of employees in the country have changed jobs in the past three years. C. The percentage of employees in the country who have changed jobs in the past three years is not nothing%. D. nothing% of employees in the country have changed jobs in the past three years.…