andomly 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. 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 = 247 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the

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

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: The claim is that p is more than 0.304.

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: We have given that n = 215 r = 46 p = 0.301 p̂ = r/n =46/215 = 0.2140

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: Null Hypothesis: H0: p=0.301 Alternative Hypothesis: H1:p<0.301 Given information:…

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A: import pandas as pdimport numpy as npimport statsmodels.api as smfrom statsmodels.stats.stattools…

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A:

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: Given information: Sample size, n = 225 The number of entries that had a first nonzero digit of 1 is…

Q: 2. Write out the null and alternative hypotheses using symbols: Họ: Hạ: Now write out the same…

A: The observed data is given as:   frequency of noodles X-shaped O-shaped 33 21

Q: Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first…

A: Determine the level of significance.   Significance level:    In order to decide how small the…

Q: ity of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for…

A: Value of n and r is missing so I have considered them by referring a similar question. Given: n=217…

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: From the given information we conduct Z test for proprtion.

Q: Suppose that historically, the proportion of people who trade in their old car to a car dealer when…

A: Givensample size(n)=115No.of old cars(x)=46p^=xn=46115=0.40

Q: In a certain California city, projections for the next year are that there is a 20% chance that they…

A: We have to find expected value.

Q: Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first…

A: Given, Probability(prob) of getting a number with "1" as the leading digit is about 0.301 n = 466 r…

Q: Recall that Benford's law claims that numbers chosen from very large data files tend to have "1" as…

A: Given: Sample size, n=218 r = 47 Sample proportion: p^=rn=47218=0.2156 Set the null and alternative…

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A: About 16.2% of the workers in the state traveled more than an hour to work every day in 2011. That…

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: Given data : Claim :  p is less than 0.301 number of success r = x= 50.0 sample size, n…

Q: If a person has a z-score of –2.00, this would mean that they

A: If a person has a z-score of –2.00

Q: i) Test the claim that p is less than 0.301. Use ? = 0.05. (a) What is the level of significance?…

A: popualtion proportion = 0.301 Sample proportion = 52/224 =0.232

Q: In a chi-square test, we want to know if the frequency of the noodles is significantly different…

A: Given that, there is a 50% chance to expect the X-shaped and O-shaped noodles. That means p= 50% =…

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: Suppose p is the true population proportion of all numbers in the corporate file that have a first…

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: Given information- Population proportion, p = 0.301 Sample size, n = 218 The entries had a first…

Q: Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first…

A:

Q: Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first…

A:

Q: Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good…

A: The test statistic for this sample is, Thus, the test statistic is 1.022.

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: Hello there! there are more than 3 sub parts in the given question. Cannot answer more than three…

Q: What are the rules for deteriming significant digits?

A: The rules for determining significant digits are:1. All non-zero numbers are significant   eg: The…

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A: It is given that margin of error (E) is 0.04 and the confidence level is 0.95.

Q: You are a paranoid delusional statistician with far too much time on your hands. One day, you sit…

A: From the given information:

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A:

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: Let r be the number of persons possessing the given attribute in a sample of size 'n'. Let p^…

Q: Come up with an example of a time when it would be useful to use a z-score.

A: Z-score = (x- mean)/standard deviation  Now data of x,mean, standard deviation dependent on the unit…

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A:

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: Given that  The Population proportion is =0.301 Sample size (n)=225 The number of first non zero…

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: (a) The level of significance, denoted by α, is defined as the probability of incorrectly rejecting…

Q: Suppose you have traveled back in time to March 2020 and we are interested in finding out how many…

A: *Answer:

Q: Recall that ims that very large data digit disproportionately often. In fact, research has shown…

A: The probability of getting a number with "1" as the leading digit is about 0.301.Sample size Number…

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A: Given : Claim : p is less than 0.301.

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…

A:

Q: Test the claim that p is more than 0.301. Use ? = 0.10 (a) What is the value of the sample test…

A: Given that Sample size n = 228 Number with leading digit 1 = 85 Level of significance = 0.10

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.