In a rural area only about 42% of the wells that are drilled find adequate water at a depth of 100 feet or less. A local man claims to be able to find water by dowsing, that is, using a forked stick to indicate where the well should be drilled. You check with 66 of his customers and find that 34 have wells less than 100 feet deep. Answer the questions below. Assume the independence assumption is met. (a) Write appropriate hypotheses. Ho: The percentage of successful wells drilled by the dowser is equal to 42%. HẠ: The percentage of successful wells drilled by the dowser is greater than 42%. (b) Check the necessary assumptions. The independence assumption is satisfied. The randomization condition is not satisfied. The 10% condition is satisfied. The success/failure condition is satisfied. (c) Perform the mechanics of the test. What is the P-value? P-value = (Round to three decimal places as needed.)

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