Benford's Law Claims That Numbers Chosen from Very Large Data $\alpha$

question 15

Multiple Choice

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. 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 = 287 numerical entries from the file and r = 73 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 0.301 by using $\alpha$ = 0.1. Are the data statistically significant at the significance level? Based on your answers, will you reject or fail to reject the null hypothesis?

• A)The P-value is less than the level of significance so the data are not statistically significant. Thus, we reject the null hypothesis.
• B)The P-value is greater than the level of significance so the data are not statistically significant. Thus, we fail to reject the null hypothesis.
• C)The P-value is less than the level of significance so the data are not statistically significant. Thus, we fail to reject the null hypothesis.
• D)The P-value is less than the level of significance so the data are statistically significant. Thus, we fail to reject the null hypothesis.
• E)The P-value is less than the level of significance so the data are statistically significant. Thus, we reject the null hypothesis.

Acknowledge the significance of affiliation needs in reducing stress and contributing to mental well-being.

Understand the relationship between physiological needs and homeostasis in maintaining body balance.

Understand the relationship between the t distribution and the standard normal distribution as degrees of freedom increase.

Calculate degrees of freedom and understand their role in statistical analysis.

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Definitions:

2-Electron Bonding

A type of chemical bond involving the sharing of two electrons between atoms, commonly known as a covalent bond.

Ionic Bonding

Ionic bonding is the chemical bond formed through the electrical force between oppositely charged ions, typically between metals and nonmetals.

Lewis Structure

A Lewis structure is a diagrammatic representation of the arrangement of valence electrons around atoms in molecules, indicating the bonding between atoms as well as the lone pairs of electrons.

Ethyne

A colorless gas with a sharp, distinct odor; the simplest alkyne, it is a hydrocarbon with the formula C2H2.