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Suppose an oil corporation has several thousand drilling sites available in an area of the North Sea. Exploratory wells were drilled in a simple random
Suppose an oil corporation has several thousand drilling sites available in an area of the North Sea. Exploratory wells were drilled in a simple random sample of 50 sites. In 25 of the drilled wells, they found an abundance of oil, and in the remaining 25, they did not. A hypothesis test was conducted to determine if these drillings had a higher success rate than previous exploratory drilling. The success rate of the corporation's prior exploratory drillings was 35%. Does this sample meet the requirements for conducting a one-sample z-test for a proportion? Yes, the requirements are met because the sample size is more than 30, ensuring that the distribution is approximately normal. O No, the requirements are not met because the sample is not random. No, the requirements are not met because the one-sample z-test requires that the population standard deviation be known. No, the requirements are not met because the population size is less than 10 times as large as the sample size, ensuring that the distribution is approximately normal. Yes, the requirements are met because the sample is random and the number of successes and the number of failures in the sample are both at least 10, ensuring that the distribution is approximately normal
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