7. (12 points) 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 0.3. 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 200 numerical entries from the file and 48 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 0.3 use a significant level o = 0.05. (a) (2 pts) What is the estimation p? (b) (2 pts) State the null and alternate hypotheses. (c) (2 pts) What test will you use? Check the assumption. (d) (2 pts) Calculate the test statistic? (Round to two decimal places.) (e) (2 pts) Find the P-value. (Round to four decimal places.) (f) (2 pts) State your decision and reason. Interpret your conclusion in the context of the