Recall that Benford's Law claims that numbers chosen from very large data fles 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 fle, the probabity of getting a number with "1as the leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue hle contains millons of numbers in a large computer data bank. You draw a random sample of n = 229 numbers from this file and r 5 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 () Test the daim that p is more than 0.301. Use a - 0.10. (a) what is the level of signihcance? State the null and alternate hypotheses O Hp= 0.301; Hp>0.301 O Hg: P = 0.301; Hp<0.301 O H: p>0.301; Hp = 0.301 O H:p= 0.301; Hp-0.301 (b) what sampling distribution will you use? O The Student's t, since np >5 and ng> 5 O The standard normal, since np> 5 and ng > 5 O The Student's t, since np
Recall that Benford's Law claims that numbers chosen from very large data fles 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 fle, the probabity of getting a number with "1as the leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue hle contains millons of numbers in a large computer data bank. You draw a random sample of n = 229 numbers from this file and r 5 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 () Test the daim that p is more than 0.301. Use a - 0.10. (a) what is the level of signihcance? State the null and alternate hypotheses O Hp= 0.301; Hp>0.301 O Hg: P = 0.301; Hp<0.301 O H: p>0.301; Hp = 0.301 O H:p= 0.301; Hp-0.301 (b) what sampling distribution will you use? O The Student's t, since np >5 and ng> 5 O The standard normal, since np> 5 and ng > 5 O The Student's t, since np
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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