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 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 = 221 numerical entries from the file and r = 49 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 . the claim that p is less than 0.301 . Use a 0.10 . What the level of significance ? State the and alternate hypotheses ( Enter for as needed . ) 10.301 an 0.301 less than ( ) , greater than ) less than or equal ( ) , or greater than or equal ( ) What will you use Do you think the sample size is sufficiently large ? Explain We'll use the Student's because the sample size is sufficiently large since > 5 and 5 . use the standard , because the sample size is sufficiently large since 5 and > 5 We'll use the Student's because the sample size is not sufficiently large since 5 and use the standard

(a) Test that claim that p is less than 0.301.Use a=0.10.

(i) what is the significance?

State the null hypothesis. (Enter ! =not equal symbol as needed.)

Ho:

H1

(ii) What sampling distribution will you use? Do you think the sample size is sufficiently large?explain

Use the value of the sample test statistic to find the corresponding z value. (Round your answer to two decimal places. )

(iii) Find the P-value of the test statistic (Round your answer to four decimal places)

Sketch the sampling distribution and show the area corresponding to P-value.

Don't copy from others and chat gpt.

Answer should be only in textual format and without any inserting table or image.