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Hello students, let's do this question. Here, the sample of n equal to 2117 observations had tak

We are asked in this question to test the claim that a population proportion is less than 0 .304

We have to solve one problem. Let's start from question A. We have to find the level of signific

Benzfeld law claimed that the number chosen from a very large data files tend to have one as the

Okay, so for A, the level of significance and hypothesis. So, the level of significance is given

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webassign.net/web/Student/Assignment-Responses/submit?dep=33426106\&tags=autosave\#question3878798_16 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 \( n=220 \) 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 \( \alpha=0.10 \). USE SALT (a) What is the level of significance? 0.10 State the null and alternate hypotheses. \( H_{0}: p=0.301 ; H_{1}: p \neq 0.301 \) \( H_{0}: p=0.301 ; H_{1}: p>0.301 \) \( H_{0}: p>0.301 ; H_{1}: p=0.301 \) \( H_{0}: p=0.301 ; H_{1}: p<0.301 \) (b) What sampling distribution will you use? The standard normal, since \( n p>5 \) and \( n q>5 \). The Student's \( t \), since \( n p<5 \) and \( n q<5 \).

          webassign.net/web/Student/Assignment-Responses/submit?dep=33426106\&tags=autosave\#question3878798_16
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 \( n=220 \) 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 \( \alpha=0.10 \).
USE SALT
(a) What is the level of significance?
0.10

State the null and alternate hypotheses.
\( H_{0}: p=0.301 ; H_{1}: p \neq 0.301 \)
\( H_{0}: p=0.301 ; H_{1}: p>0.301 \)
\( H_{0}: p>0.301 ; H_{1}: p=0.301 \)
\( H_{0}: p=0.301 ; H_{1}: p<0.301 \)
(b) What sampling distribution will you use?
The standard normal, since \( n p>5 \) and \( n q>5 \).
The Student's \( t \), since \( n p<5 \) and \( n q<5 \).

webassign.net/web/Student/Assignment-Responses/submit?dep=33426106&tags=autosave#question387879816
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=220 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=0.10.
USE SALT
(a) What is the level of significance?
0.10

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 standard normal, since n p>5 and n q>5.
The Student's t, since n p<5 and n q<5.

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