A. How would you describe a non-stationary time series that is random walk? B. What is the difference between the Dickey-Fuller Tests 1, 2, and 3? C. Why should augmented Dickey-Fuller tests always be used when performing econometric analysis?
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- K A research center claims that more than 26% of employees in a certain country have changed jobs in the past four years. In a random sample of 260 people from that country, 78 have changed jobs in the past four years. At a=0.10, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. OC. At most OD. % of employees in the country have changed jobs in the past four years. OA. Ho p Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past four years. State Ho and H₂. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) H₂: p= % of employees in the country have changed jobs in the past four years. OD. Ho: p² H₂:p OF. Ho:p> H₂:ps lpPlz help ASAPRecall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue file contains millions of numbers in a large computer data bank. You draw a random sample of n = 226 numbers from this file and r = 85 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1.(i) Test the claim that p is more than 0.301. Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p > 0.301; H1: p = 0.301 H0: p = 0.301; H1: p > 0.301 H0: p = 0.301; H1: p < 0.301 H0: p = 0.301; H1: p ≠ 0.301 (b) What sampling distribution will you use? The…
- For a two tailed test in which a treatment is supposed to change a scores, a researcher obtains t(15) =2.06. for a = .01, The correct decision is to ____ the null hypothesisRecall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 221 numerical entries from the file and r = 50 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. (i) Test the claim that p is less than 0.301. Use α = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: P = 0.301; H₁: p = 0.301 Ho: P 0.301 Ho: P = 0.301; H₁: p 5 and nq > 5. O The Student's t, since np 5 and nq > 5. What is the value of the…You are conducting a multinomial hypothesis test (α= 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category ObservedFrequency ExpectedFrequency A 17 B 22 C 11 D 13 E 17 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations.What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.)χ2= What are the degrees of freedom for this test?d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = Is the p-value less than αα? yes no This test statistic leads to a decision to... reject the null accept the null fail to reject the null accept the alternative As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to…
- Q.No.1. (Marks 08) Explain the following with suitable examples. Mutually exclusive events Sampling Correlation RegressionD5)A Shapiro-Wilk result had a p-value of 0.05. Which of the following statements is best? O O O There is a 5% chance that the data is truly different from the normal curve There is a 5% chance that the data presented is only due to coincidence There is a 95% chance that the data is truly different from the normal curve There is a 95% chance that the data presented is only due to coincidence 7
- In a one-tail hypothesis test where you rejected Ho only in the upper tail, what is the value is Zstat =+2.00?Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 220 numerical entries from the file and r = 49 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. A) What is the value of the sample test statistic? (Round your answer to two decimal places.)B) Find the P-value of the test statistic. (Round your answer to four decimal places.)You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Note: Expected frequency is En.p. Observed Expected Frequency Frequency Category A 8 D B 22 C 15 D 14 E 7 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) x² What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = Is the p-value less than a? Oyes O no This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null O accept the alternative As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that all 5 categories are…