C11: Application Benford's Law 20 points possible 0/1 answered . Question 1 You might think that if you looked at the first digit in randomly selected numbers that the distribution would be uniform. Actually, it is not! Simon Newcomb and later Frank Benford both discovered that the digits occur according to the following distribution: (digit, probability) (1, 0.301), (2, 0.176), (3, 0.125), (4, 0.097), (5, 0.079), (6, 0.067), (7, 0.058), (8, 0.051), (9, 0.046) The IRS currently uses Benford's Law to detect fraudulent tax data. Suppose you work for the IRS and are investigating an individual suspected of embezzling. The first digit of 148 checks to a supposed company are as follows: Digit 2 3 4 5 6 7 8 9 Observed 41 29 11 1 13 17 16 3 Frequency a. State the appropriate null and alternative hypotheses for this test. b. Explain why a = 0.01 is an appropriate choice for the level of significance in this situation. c. What is the P-Value? Report answer to 4 decimal places P-Value =0 Question 1 v At the beginning of the semester we collected some data from you. Two of the questions on the survey were about gender and whether or not you have equal, more, or less energy in the afternoon compared to the morning. Below are the results. Assuming that gender and energy levels are not associated, what is the expected value for the number of males who have equal energy in the afternoon as the morning? 0 Question 3 v