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 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 ofn=217numerical entries from the file andr=47of the entries had a first nonzero digit of 1. Letprepresent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. (i) Test the claim thatpis less than 0.301. Use=0.05.(a) What is the level of significance? State the null and alternate hypotheses.

H₀:p= 0.301;H₁:p> 0.301H₀:p< 0.301;H₁:p= 0.301 H₀:p= 0.301;H₁:p0.301H₀:p= 0.301;H₁:p< 0.301

(b) What sampling distribution will you use?

The Student'st, sincenp< 5 andnq< 5.The Student'st, sincenp> 5 andnq> 5. The standard normal, sincenp< 5 andnq< 5.The standard normal, sincenp> 5 andnq> 5.

What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find theP-value of the test statistic. (Round your answer to four decimal places.)