An environmentalist wants to find out the fraction of oil tankers that have spills each month. Suppose a sample of 836 tankers is drawn. Of these ships, 577 did not have spills. Using the data, construct the 99% confidence interval for the population proportion of oil tankers that have spills each month.

The 99% confidence interval for the population proportion of oil tankers that have spills each month.

(0.6489 , 0.7311)

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 836

Suppose a sample of 836 tankers is drawn. Of these ships, 577 did not have spills.

sample proportion

The 99% confidence interval for the population proportion is determined by

Step(ii):-

The Z- value = 2.576

On calculation , we get

(0.690 -  0.0411 , 0.690 + 0.0411)

(0.6489 , 0.7311)

Final answer:-

The 99% confidence interval for the population proportion of oil tankers that have spills each month.

(0.6489 , 0.7311)

answer:  

step-by-step explanation:

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and, the height of the shadow of the pole is 12 feet.

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therefore,

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which is the required equation for finding the value of x,