The average manufacturing work week in metropolitan Chattanooga was 40,1 hours last year. It is believed that the recession has led to a reduction in the average work week. To test the validity of this belief, the hypotheses are ObHo - 40.1 H * 40.1
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Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…
A: n=218, r =52, α = 0.10 claim : p is less than 0.301
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A: Answer : P(d<3)= P(d = 1,2) =0.301 + 0.176= 0.477
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A: We have given that n = 215 r = 46 p = 0.301 p̂ = r/n =46/215 = 0.2140
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- 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 = 215 numerical entries from the file and r = 52 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.)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 = 221 numerical entries from the file and r = 51 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 ? = 0.10.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 = 221 numerical entries from the file and r = 51 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 ? = 0.05. 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.) =____
- 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 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 = 225 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 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.)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 0.306. 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 = 219 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.Test the claim that p is less than 0.306. Use ? = 0.05. (a) What is the level of significance?State the null hypothesis H0 and the alternate hypothesis H1 . H0 : p H1 : p (b) What sampling distribution will you use? The Student's tThe standard normal since np…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 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 = 227 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 α = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: P = 0.301; H₁: p > 0.301 O Ho: P> 0.301; H₁: p = 0.301 O Ho: P= 0.301; H₁: p = 0.301 O Ho: p = 0.301; H₂: p 5 and nq > 5. The standard normal, since np > 5 and nq > 5. What is the…
- 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 = 215 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 ? = 0.10. (a) What is the level of significance?State the null and alternate hypotheses. H0: p = 0.301; H1: p < 0.301H0: p < 0.301; H1: p = 0.301 H0: p = 0.301; H1: p > 0.301H0: p = 0.301; H1: p ≠ 0.301 (b) What sampling…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 = 215 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. (b) What sampling distribution will you use? The Student's t, since np > 5 and nq > 5.The standard normal, since np < 5 and nq < 5. The standard normal, since np > 5 and nq > 5.The Student's t, since np < 5 and nq < 5. What is the value of the sample test…Alzheimer’s disease increases in frequency with an increase in age and is responsible for deficits in memory, thinking, judgement and reasoning. Reports show that 10% of Americans over the age of 65 have Alzheimer’s disease. A researcher believes that this proportion is increasing over time and conducts a c hypothesis test. Out of the 100 Americans over the age of 65 in her sample, 15 of them have the disease. Is this enough evidence to show the researcher’s claim is true? Test at 0.05 alpha level.
- A decade-old study found that the proportion of high school who felt that ‘getting rich was an important personal goal was 75%. Suppose that we have reason to believe that this proportion has changed., and we wish to carry out a hypothesis test to see if our belief can be supported. State the thanks hypothesis H0 and the alternative H1 that we would use for this test.Which of the following do you think could possibly be true statistically? A) A teacher brought 40 calculators to class, and 20% of them had dead batteries B) None of the other statements could be true C)The number of violent crimes in the city decreased by 112.46% last year D)Last year, 60 of the 80 residents in a neighborhood subscribed to the local newspaper, and this year, it is 40 residents who subscribe. This is a 50% decrease E) A company's annual profits increased by 110% over the last decadeRecall 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…
