An environmentalist wants to find out the fraction of oil tankers that have spills each month.
Step 1 of 2 : Suppose a sample of 1101 tankers is drawn. Of these ships, 848 did not have spills. Using the data, estimate the proportion of oil tankers that had spills.
Enter your answer as a fraction or a decimal number rounded to three decimal places.
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UpStudy AI · Accepted Answer

To estimate the proportion of oil tankers that had spills, we can use the formula for the sample proportion:

$$ \text{Sample Proportion} = \frac{\text{Number of tankers with spills}}{\text{Total number of tankers}} $$

Given that 848 tankers did not have spills out of a sample of 1101 tankers, we can calculate the number of tankers that had spills as follows:

$$ \text{Number of tankers with spills} = \text{Total number of tankers} - \text{Number of tankers without spills} $$

Let's calculate the number of tankers that had spills and then find the sample proportion.
Calculate the value by following steps:
- step0: Calculate:
  $$1101-848$$
- step1: Subtract the numbers:
  $$253$$
The number of tankers that had spills is 253.

Now, we can calculate the sample proportion by dividing the number of tankers with spills by the total number of tankers:

$$ \text{Sample Proportion} = \frac{253}{1101} $$

Let's calculate the sample proportion.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{253}{1101}$$
The estimated proportion of oil tankers that had spills is approximately 0.230 when rounded to three decimal places.
The estimated proportion of oil tankers that had spills is approximately 0.230.

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