2:00A webassign.netState the null and alternate hypotheses.O Ho: p- 0.301; H:p > 0.301O Hoi p- 0.301; Hp<0.301O Họi p< 0.301; H: p - 0.301O Ho: p-0.301; Hp+ 0.301(b) What sampling distribution will you use?O The standard normal, since np > 5 and ng > 5.The standard normal, since np < 5 and ng < 5..O The Student's t, since np > 5 and ng > 5.O The Student's t, since np < 5 and ng < 5..What is the value of the sample test statistic? (Round your answer to two decimal places.)(C) Find the P-value of the test statistic. (Round your answer to four decimal places.)Sketch the sampling distribution and show the area corresponding to the P-value.O-3-2-11O-3-2-1O-3-2-11230-3-2- 11(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statisticallysignificant at level a?O At the a- 0.10 level, we reject the null hypothesis and conclude the data are statistically significant.O At the a- 0.10 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a - 0.10 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the a - 0.10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.(e) Interpret your conclusion in the context of the application.O There is sufficient evidence at the 0.10 level to conclude that the true proportion of numbers with a leading 1 in therevenue file is less than 0.301.O There is insufficient evidence at the 0.10 level to conclude that the true proportion of numbers with a leading 1 inthe revenue file is less than 0.301.(ii) If p is in fact less than 0.301, would it make you suspect that there are not enough numbers in the data file with leading 1's?Could this indicate that the books have been "cooked" by "pumping up" or inflating the numbers? Comment from the viewpoint ofa stockholder. Comment from the perspective of the Federal Bureau of Investigation as it looks for money laundering in the formof false profits.Yes. The revenue data file does not seem to include more numbers with higher first nonzero digits than Benford's lawpredicts.O Yes. The revenue data file seems to include more numbers with higher first nonzero digits than Benford's law predicts.O No. The revenue data file does not seem to include more numbers with higher first nonzero digits than Benford's lawpredicts.O No. The revenue data file seems to include more numbers with higher first nonzero digits than Benford's law predicts.(i) Comment on the following statement: If we reject the null hypothesis at level of significance a, we have not proved H, to befalse. We can say that the probability is a that we made a mistake in rejecting H Based on the outcome of the test, would yourecommend further investigation before accusing the company of fraud?O we have not proved H, to be false. Because our data lead us to accept the null hypothesis, more investigation is notmerited.O We have not proved H, to be false. Because our data lead us to reject the null hypothesis, more investigation is meritedWe have proved H, to be false. Because our data lead us to reject the null hypothesis, more investigation is not merited.O we have not proved H, to be false. Because our data lead us to reject the null hypothesis, more investigation is notmerited.Need Help? Read Watch It 2:00A webassign.netRecall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digitdisproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, theprobability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very largecorporation. 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 populationproportion of all numbers in the corporate file that have a first nonzero digit of 1.(1) Test the claim that p is less than 0.301. Use a- 0.10.A USE SALT(a) What is the level of significance?State the null and alternate hypotheses.O Họ: p- 0.301; H: p > 0.301O Hoi p- 0.301; Hp<0.301O Họi p< 0.301; H: p - 0.301O Hại p-0.301; H: p+ 0.301(b) What sampling distribution will you use?O The standard normal, since np > 5 and ng > 5.The standard normal, since np < 5 and ng < 5.O The Student's t, since np > 5 and ng > 5.O The Student's t, since np < 5 and ng < 5.What is the value of the sample test statistic? (Round your answer to two decimal places.)(C) Find the P-value of the test statistic. (Round your answer to four decimal places.)Sketch the sampling distribution and show the area corresponding to the P-value.O-3-2-113O-3-2-1O-3-2-13O-3-2-11(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statisticallysignificant at level a?O At the a = 0.10 level, we reject the null hypothesis and conclude the data are statistically significant.O At the a= 0.10 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a 0.10 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the a- 0.10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.(e) Interpret your conclusion in the context of the application.O There is sufficient evidence at the 0.10 level to conclude that the true proportion of numbers with a leading 1 in therevenue file is less than 0.301.O There is insufficient evidence at the 0.10 level to conclude that the true proportion of numbers with a leading 1 inthe revenue file is less than 0.301.(1) If p is in fact less than 0.301, would it make you suspect that there are not enough numbers in the data file with leading 1's?Could this indicate that the books have been "cooked" by "pumping up" or inflating the numbers? Comment from the viewpoint ofa stockholder. Comment from the perspective of the Federal Bureau of Investigation as it looks for money laundering in the formof false profits.O Yes. The revenue data file does not seem to include more numbers with higher first nonzero digits than Benford's lawpredicts.O Yes. The revenue data file seems to include more numbers with higher first nonzero digits than Benford's law predicts.O No. The revenue data file does not seem to include more numbers with higher first nonzero digits than Benford's lawpredicts.O No. The revenue data file seems to include more numbers with higher first nonzero digits than Benford's law predicts.(i) Comment on the following statement: If we reject the null hypothesis at level of significance a, we have not proved H, to befalse. We can say that the probability is a that we made a mistake in rejecting H Based on the outcome of the test, would yourecommend further investigation befere accusing the company of fraud?O we have not proved H, to be raise. Because our usa eau us to accepr e nu nypothesis, more investigation is not

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2:00 webassign.net State the null and alternate hypotheses. Ho: P- 0.301; H: p > 0.301 O Hoi p- 0.301; Hp< 0.301 O Hoi p< 0.301; H:p - 0.301 O Ho: p- 0.301; H,p+ 0.301 (b) What sampling distribution will you use? The standard normal, since np > 5 and ng > 5. The standard normal, since np < 5 and ng < 5. The Student's t, since np > 5 and ng > 5. The Student's t, since np < 5 and ng < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (C) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. -1 -1 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? At the a- 0.10 level, we reject the null hypothesis and conclude the data are statistically significant. At the a- 0.10 level, we reject the null hypothesis and conclude the data are not statistically significant. At the a- 0.10 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) Interpret your conclusion in the context of the application. There is sufficient evidence at the 0.10 level to conclude that the true proportion of numbers with a leading 1 in the revenue file is less than 0.301. There is insufficient evidence at the 0.10 level to conclude that the true proportion of numbers with a leading 1 in the revenue file is less than 0.301. (ii) If p is in fact less than 0.301, would it make you suspect that there are not enough numbers in the data file with leading 1's? Could this indicate that the books have been "cooked" by "pumping up" or inflating the numbers? Comment from the viewpoint of a stockholder. Comment from the perspective of the Federal Bureau of Investigation as it looks for money laundering in the form of false profits. Yes. The revenue data file does not seem to include more numbers with higher first nonzero digits than Benford's law predicts. Yes. The revenue data file seems to include more numbers with higher first nonzero digits than Benford's law predicts.