Pregunta
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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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Ask by Rose Ford. in the United States
Dec 17,2024

Solución de inteligencia artificial de Upstudy

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The estimated proportion of oil tankers that had spills is approximately 0.230.

Solución

To estimate the proportion of oil tankers that had spills, we can use the formula for the sample proportion:
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:
Let’s calculate the number of tankers that had spills and then find the sample proportion.
Calculate the value by following steps:
  • step0: Calculate:
  • step1: Subtract the numbers:

    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:
Let’s calculate the sample proportion.
Calculate the value by following steps:
  • step0: Calculate:

    The estimated proportion of oil tankers that had spills is approximately 0.230 when rounded to three decimal places.

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The Deep Dive

To find the estimated proportion of oil tankers that had spills, you first need to determine how many tankers had spills. From the sample of 1101 tankers, if 848 did not have spills, you can calculate the number of tankers that did have spills:
1101 - 848 = 253 tankers had spills.
Now, to find the proportion of tankers that had spills, divide the number of tankers with spills by the total number of tankers sampled:
253 / 1101 ≈ 0.230.
Rounding this to three decimal places, the estimated proportion is 0.230.
For your answer, enter: 0.230.
To ensure accurate results, remember to check your calculations and make sure you’re dividing the total correctly! A frequent mistake is miscounting the number of tankers in each category or misapplying the formula, so double-checking is crucial!

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